DARSHAN INSTITUTE OF ENGG. & TECH. Department of Mechanical Engineering B.E. Semester – V Heat Transfer (2151909) List of Experiments Sr. No. Title Date of Performance Date of submission Sign Remark 1. Heat Transfer through Composite Wall 2. Heat Transfer through Lagged Pipe 3. Heat Transfer from a Pin Fin under Free Convection 4. Heat Transfer from a Pin Fin under Forced Convection 5. Heat Transfer in Forced Convection 6. Stefan Boltzmann Apparatus 7. Emissivity Measurement Apparatus 8. Parallel Flow/Counter Flow Heat Exchanger 9. Drop Wise & Film Wise Condensation Apparatus 10. Thermal Conductivity of Insulating Slab
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DARSHAN INSTITUTE OF ENGG. & TECH.
Department of Mechanical Engineering
B.E. Semester – V
Heat Transfer (2151909)
List of Experiments
Sr.
No. Title
Date of
Performance
Date of
submission Sign Remark
1. Heat Transfer through Composite
Wall
2. Heat Transfer through Lagged Pipe
3. Heat Transfer from a Pin Fin under
Free Convection
4. Heat Transfer from a Pin Fin under
Forced Convection
5. Heat Transfer in Forced Convection
6. Stefan Boltzmann Apparatus
7. Emissivity Measurement Apparatus
8. Parallel Flow/Counter Flow Heat
Exchanger
9. Drop Wise & Film Wise
Condensation Apparatus
10. Thermal Conductivity of Insulating
Slab
COMPOSITE WALL
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
1-1
1. HEAT TRANSFER THROUGH COMPOSITE WALL
1. Objective:
Study of conduction heat transfer in composite wall
2. Aim:
To determine total thermal resistance and thermal conductivity of composite wall
To calculate thermal conductivity of one material in composite wall
3. Nomenclature:
A = Area of heat transfer, m2
d = Diameter, m
I = Ammeter reading, amp
Keff = Thermal conductivity of composite wall, W/m oC
k1 = Thermal conductivity of cast iron, W/m oC
k2 = Thermal conductivity of Bakelite, W/m oC
k3 = Thermal conductivity of Press wood, W/m oC
Q = Amount of heat transfer, W
q = Heat flux, W/m2
Rth = Total thermal resistance of composite wall, oC m
2/W
∆T = Overall temperature difference, oC
T1 & T2 = Interface temperature of cast Iron and heater, oC
T3 & T4 = Interface temperature of cast Iron and bakelite, oC
T5 & T6 = Interface temperature of bakelite and press wood, oC
T7 & T8 = Top surface temperature of press wood, oC
V = Voltmeter reading, volts
W = Heat supplied by the heater, W
∆X = Total thickness of wall, m
X1 = Cast Iron thickness, m
X2 = Bakelite thickness, m
X3 = Press wood thickness, m
COMPOSITE WALL
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
1-2
4. Introduction:
When a temperature gradient exists in a body, there is an energy transfer from the
high temperature region to the low temperature region. Energy is transferred by
conduction and heat transfer rate per unit area is proportional to the normal
temperature gradient:
X
T
A
q
When the proportionality constant is inserted,
X
TkAq
Where q is the heat transfer rate and ΔT/ ΔX is the temperature gradient in the
direction of heat flow. The positive constant k is called thermal conductivity of the
material.
5. Block Diagram:
Fig. 1.1 Line Diagram of Composite Wall Apparatus
COMPOSITE WALL
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
1-3
Fig. 1.2 Composite Wall Apparatus
6. Theory:
A direct application of Fourier’s law is the plane wall. Fourier’s equation:
12 TTX
kAq
Where the thermal conductivity is considered constant. The wall thickness is X, and
T1 and T2 are surface temperatures. If more than one material is present, as in the
multiplayer wall, the analysis would proceed as follows:
The temperature gradients in the three materials (A, B, C), the heat flow may be
written
C
C
C
B
BB
A
AA
X
TAk
X
TAk
X
TAkq
7. Description:
The Apparatus consists of a heater sandwiched between two asbestos sheets. Three
slabs of different material are provided on both sides of heater, which forms a
composite structure. A small press- frame is provided to ensure the perfect contact
between the slabs. A Variac is provided for varying the input to the heater and
measurement of input power is carried out by a Digital Voltmeter & Digital Ammeter.
Temperatures Sensors are embedded between inter faces of the slab, to read the
temperature at the surface. The experiment can be conducted at various values of
power input and calculations can be made accordingly.
COMPOSITE WALL
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
1-4
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50 Hz, 5-15Amp socket with earth
connection.
2. Bench Area Required: 1m x 1m.
9. Experimental Procedure:
Starting Procedure:
1. Ensure that Mains ON/OFF switch given on the panel is at OFF position &
dimmer stat is at zero position.
2. Connect electric supply to the set up.
3. Switch ON the Mains ON / OFF switch.
4. Set the heater input by the dimmer stat, voltmeter in the range 40 to 100 V.
5. After 1.5 hrs. note down the reading of voltmeter, ampere meter and temperature
sensors in the observation table after every 10 minutes interval till observing
change in consecutive readings of temperatures (± 0.2 oC).
Closing Procedure:
1. After experiment is over set the dimmer stat to zero position.
2. Switch OFF the Mains ON/OFF switch.
3. Switch OFF electric supply to the set up.
10. Observation & Calculations:
10.1 Data:
d = 0.25 m
X1 = 0.02 m
X2 = 0.015m
X3 = 0.012 m
k1 = 52 W /m oC
k2 = 1.4 W /m oC
k3 = 0.12 W /m oC
COMPOSITE WALL
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
1-5
10.2 Observation Table:
Sr.No. V
volts
I
amp
T1
oC
T2
oC
T3
oC
T4
oC
T5
oC
T6
oC
T7
oC
T8
oC
10.3 Calculations:
2
WQ , W = ----------- W
IVW , W = ----------- W
A
Qq , W/m
2 = -----------
W/m
2
2
4dA
, m
2 = ----------- m
2
2
)()( 8271 TTTTT
,
oC = -----------
oC
q
TRth
,
oC m
2/W = -----------
oC m
2/W
321 XXXX , m = ----------- m
X
TKq eff
T
XqKeff
, W/m
oC
= --------------- W/m oC
3
3
2
2
1
1
k
X
k
X
k
X
T
R
Tq
th
2
2
1
1
3
3
k
X
k
X
q
T
Xk , W/m
oC
= --------------- W/m oC
COMPOSITE WALL
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
1-6
11. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 180 volts and above than
230volts.
2. Never switch on mains power supply before ensuring that all the ON/OFF
switches given on the panel are at OFF position.
3. Operator selector switch OFF temperature indicator gently.
4. Always keep the apparatus free from dust.
12. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main
supply.
2. If voltmeter showing the voltage given to heater but ampere meter does not, check
the connection of heater in control panel.
13. Conclusion:
14. References:
1. Holman, J.P., “Heat Transfer”, 9th
ed., McGraw Hill, ND, 2008, Page 23-24
2. Kern, D.Q., “Process Heat Transfer”, 16th
ed., McGraw Hill, ND, 2007, Page
14-15
THERMAL CONDUCTIVITY OF MATERIALS
1. A. Domkundwar, “A Course in Heat & Mass Transfer”, S.C Arora & S
Domkundwar, NY, 2003, Page A.4 – A.5.
LAGGED PIPE
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
2- 1
2. HEAT TRANSFER THROUGH LAGGED PIPE
1. Objective:
To study the heat transfer through the insulating medium
2. Aim:
To estimate the actual rate of heat transfer through the composite cylinders from the
measured interface temperature of the two insulating materials with known thermal
conductivities.
To determine the effective thermal conductivity of the composite cylinders
To compare the theoretical temperature profile within the composite cylinders, with that
of observed profile
3. Nomenclature:
A = Heat transfer area, m2
keff = Effective thermal conductivity of lagged pipe, W/m oC
k1 = Thermal conductivity of Asbestos, W/m oC
k2 = Thermal conductivity of Sawdust, W/m oC
L = Length of the pipe, m
Q = Heat input, W
R1 = Radius of the inner most pipe, m
R2 = Radius of the middle pipe, m
R3 = Radius of the outer most pipe, m
Ti = Inside temperature of the pipe, oC
To = Outside temperature of the pipe, oC
Tm = Mean temperature of the pipe, oC
T1,T2 = Surface temperature of the inner most pipe, oC
T3,T4 = Surface temperature of the middle pipe, oC
T5,T6 = Surface temperature of the outermost pipe, oC
T = Temperature profile, oC
LAGGED PIPE
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
2-2
4. Bock Diagram:
Fig. 2.1 Line Diagram of Lagged Pipe Apparatus
Fig. 2.2 Lagged Pipe Apparatus
5. Introduction:
When a temperature gradient exists in a body, there is an energy transfer from the high
temperature region to the low temperature region. Energy is transferred by conduction
and heat transfer rate per unit area is proportional to the normal temperature gradient:
X
T
A
q
When the proportionality constant is inserted,
X
TkAq
Where q is the heat transfer rate and ΔT/ ΔX is the temperature gradient in the direction
of heat flow. The positive constant k is called thermal conductivity of the material.
6. Theory:
Consider a long composite cylinder of inside radius ri, outside radius ro and length L. We
expose this cylinder to a temperature differential Ti - To and see what the heat flow will
LAGGED PIPE
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
2- 3
be. For a cylinder with length very large compared to diameter, it may be assumed that
the heat flow in a radial direction, so that the only space coordinate needed to specify the
system is „r‟. In cylindrical system the Fourier‟s law is written.
dr
dTkAq r
rLAr 2
dr
dTkrLq 2
With the boundary conditions
T = Ti at r = ri
T = To at r = ro
The solution to equation is
io
oi
rr
TTLkq
ln
2
And the isothermal resistance in this case is
Lk
rrR io
th
2
ln
The thermal resistance concept may be used for multiple – layer cylindrical walls just as
it was used for plane walls. For the two-layer system the solution is
BA
oi
krrkrr
TTLq
2312 lnln
2
7. Description:
The apparatus consist of three concentric pipe mounted on suitable stands. The inside
pipe consists of the heater. Between first two cylinders the insulating material with which
lagging is to be done is asbestos and in second and third pipe is wooden dust.
Temperature Sensors are attached to the surface of cylinders appropriately to measure the
temperatures. The input to the heater is varied through a dimmer stat and measured by
Digital Voltmeter and Digital ammeter.
LAGGED PIPE
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
2-4
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50Hz, 5-15Amp socket with earth
connection.
2. Bench Area Required: 1.5 m x 1m
9. Experimental Procedure:
9.1 Starting Procedure:
1. Ensure that Mains ON/OFF switch given on the panel is at OFF position &
dimmer stat is at zero position.
2. Connect electric supply to the set up.
3. Switch ON the Mains ON / OFF switch.
4. Set the heater input by the dimmer stat, voltmeter in the range 40 to 100 V.
5. After 1.5 hrs note down the reading of voltmeter, ampere meter and temperature
sensors in the observation table after every 10 minutes interval till observing
change in consecutive readings of temperatures (± 0.2 oC).
9.2 Closing Procedure:
1. After experiment is over set the dimmer stat to zero position.
2. Switch OFF the Main ON/OFF switch.
3. Switch OFF electric supply to the set up.
10. Observations & Calculations:
10.1 Data:
R1 = 0.025 m
R2 = 0.05 m
R3 = 0.075 m
L = 1 m
k1 = 0.26 W/m oC
k2 = 0.069 W/m oC
LAGGED PIPE
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
2- 5
10.2 Observation table:
Sr.
No
V,
volts I, amp T1,
oC T2,
oC T3,
oC T4,
oC T5,
oC T6,
oC
10.3 Calculations:
IVQ , W = ------------------- W
2
21 TTTi
,
oC = ------------------------
oC
2
43 TTTm
,
oC = ---------------------
oC
2
65 TTTo
,
oC = -----------------------
oC
)(2
)/ln( 13
oi
effTTL
RRQk
, W/m
oC = -------------------- W/m
oC
At any radius R, Temperature is given by,
eff
ikL
RRQTT
2
)/ln( 1,oC = ------------------------
oC
11. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 180volts and above than
230volts.
2. Never switch on mains power supply before ensuring that all the ON/OFF switches
given on the panel are at OFF position.
3. Operate selector switch off temperature indicator gently.
4. Always keep the apparatus free from dust.
12. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main supply.
LAGGED PIPE
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
2-6
2. If voltmeter showing the voltage given to heater but ampere meter does not, check
the connection of heater in control panel.
13. Conclusion:
14. References:
1. Holman, J.P., “Heat Transfer”, 9th
ed., McGraw Hill, NY, 2008, Page 25-27.
2. McCabe, Smith, J.C., Harriott, P., “Unit Operations of Chemical Engineering”, 7th
ed. McGraw Hill, NY, 2005, Page 306-307.
Thermal Conductivity of Materials
1. A. Domkundwar, “A Course in Heat & Mass Transfer”, S.C Arora & S.
Domkundwar, NY, 2003, Page A.4 – A.5.
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-1
3. HEAT TRANSFER FROM A PIN FIN UNDER FREE
CONVECTION
1. Objective:
To study the heat transfer in a pin fin under free convection.
2. Aim:
To calculate the heat transfer coefficient experimentally & theoretically for free
convection.
Compare the theoretical temperature distribution with experimentally obtained
distribution.
3. Nomenclature:
Nom Column Heading Units Type
A Cross sectional area of fin m2 Calculated
AS Surface heat transfer area m2 Calculated
C Perimeter m Calculated
D Fin diameter m Given
g Acceleration due to gravity m/sec2 Given
Gr Grashoff’s number * Calculated
H Parameter m Calculated
hEx Experimental heat transfer coefficient W/m2 oC Calculated
hTh Theoretical heat transfer coefficient W/m2 oC Calculated
k Thermal conductivity of air at temperature Tmf W/m oC Calculated
kf Thermal conductivity of fin material W/m oC Given
L Fin length m Given
m Fin parameter m Calculated
Nu Nusselt number * Calculated
Pr Prandtl number * Calculated
Q Amount of heat transfer W Calculated
T1- T5 Temperatures of the pin fin test section surface oC Measured
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-2
T6- T7 Temperature at center of pin fin at Xo distance oC Measured
T8 Temperature of the suction duct surface oC Measured
Tb Fin base temperature oC Calculated
TEx Experimental temperature within the fin oC Calculated
TEx1 Experimental temperature at the first sensor oC Calculated
TEx2 Experimental temperature at the second sensor oC Calculated
TEx3 Experimental temperature at the third sensor oC Calculated
TEx4 Experimental temperature at the fourth sensor oC Calculated
TEx5 Experimental temperature at the fifth sensor oC Calculated
Tf Fin temperature at any point oC Calculated
Tm Fin mean temperature oC Calculated
Tmf Fluid mean temp oC Calculated
TTh Theoretical temperature within the fin oC Calculated
TTh1 Theoretical temperature at the first sensor oC Calculated
TTh2 Theoretical temperature at the second sensor oC Calculated
TTh3 Theoretical temperature at the third sensor oC Calculated
TTh4 Theoretical temperature at the fourth sensor oC Calculated
TTh5 Theoretical temperature at the fifth sensor oC Calculated
V1 Velocity of air at temperature Tmf m/sec Calculated
X Distance of the sensors from one end of the fin m Given
X1
Distance of first temperature sensors (T1) from the one
end point m Given
X2 Distance of second temperature sensors (T2) from the one
end point m Given
X3 Distance of third temperature sensors (T3) from the one
end point m Given
X4 Distance of fourth temperature sensors (T4) from the one
end point m Given
X5 Distance of fifth temperature sensors (T5) from the one
end point m Given
Xo Distance between temperature sensors (T6) and
temperature sensors (T7) m Given
a Density of air kg/m3 Given
a1 Density of air at temperature (Tmf) kg/m3 Calculated
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-3
Coefficient of thermal expansion of fluid K-1 Calculated
Fin effectiveness * Calculated
Dynamic viscosity of air kg/m-sec Calculated
Kinematic viscosity of air m2/sec Calculated
ΔT Temperature difference on fin surface oC Calculated
ΔT1 Temperature difference on fin surface K Calculated
* Symbols represent unit less quantity
4. Bock Diagram:
Fig. 3.1 Line Diagram of Pin Fin Apparatus
5. Introduction:
Extended surfaces or fins are used to increase the heat transfer rate from a surface to a
fluid wherever it is not possible to increase the value of the surface heat transfer
coefficient or the temperature difference between the surface and the fluid. The use of this
is very common and they are fabricated in a variety of shapes circumferential fins around
the cylinder of a motorcycle engine and fins attached to condenser tubes of a refrigerator
are few familiar examples.
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-4
6. Theory:
Natural convection phenomenon is due to the temperature difference between the surface
and the fluid and is not created by any external agency. The experimental heat transfer
coefficient is given for both the free and forced convection by,
TA
Qh
S
aEx
Theoretical heat transfer coefficient for free and forced convection, can be calculated by
following formulae:
D
kNh
u
Th
Where hEx, hTh are experimental and theoretical heat transfer coefficient respectively.
Qa is amount of heat transfer, SA is heat transfer area and T is temperature
difference. Nu is nusselt no., k is thermal conductivity and D is diameter.
It is obvious that a fin surface stick out from primary heat transfer surface. The
temperature difference with surrounding fluid will steadily diminish as one moves out
along the fin. The design of the fins therefore requires knowledge of the temperature
distribution in the fin. The main object of this experimental set up is to study the
temperature distribution in a simple pin fin.
Fin parameter
Ak
hCm
b
Fin effectiveness
mL
mLtanh
The temperature profile within a pin fin is given by:
mLHmL
xLmHxLm
TT
TT
Fb
f
o sinhcosh
)(sinh)(cosh
Where Tf is the free stream temperature of air; Tb is the temperature of fin at its base;
T is the temperature within the fin at any x; L is the length of the fin and D is the fin
diameter, m is the fin parameter, o
is temperature distribution profile.
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-5
7. Description:
It consists of pin type fin fitted in a duct. A heater is provided to heats one end of fin and
heat flows to another end. Heat input to the heater is given through variac. Digital
voltmeter and digital ammeter are provided for heat measurement. Digital temperature
indicator measures temperature distribution along the fin.
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50Hz, 5-15Amp socket with earth
connection.
2. Bench Area Required: 1.5 m x 1m
9. Experimental Procedure:
9.1 STARTING PROCEDURE:
1. Ensure that mains ON/OFF switch given on the panel is at OFF position &
dimmer stat is at zero position.
2. Connect electric supply to the set up.
3. Switch ON the mains ON / OFF switch.
4. Set the heater input by the dimmer stat, voltmeter in the range 40 to 100V.
5. After 1.5 hrs. note down the reading of voltmeter, ampere meter and temperature
sensors at every 10 minutes interval (till observing change in consecutive readings
of temperatures ± 0.2 oC).
9.2 CLOSING PROCEDURE:
1. When experiment is over set the dimmer stat to zero position.
2. Switch OFF the mains ON/OFF switch.
3. Switch OFF electric supply to the set up.
10. Observations & Calculations:
10.1 DATA:
Thermal conductivity of fin material kf = 204.2 W/moC
Density of air a = 1.15 kg/m3
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-6
Acceleration due to gravity g = 9.81 m/sec2
Diameter of fin D = 0.020 m
Length of fin L = 0.145 m
Distance of first temperature sensors (T1) from the one end point X1 = 0.045 m
Distance of second temperature sensors (T2) from the one end point X2 = 0.07m
Distance of third temperature sensors (T3) from the one end point X3 = 0.095 m
Distance of fourth temperature sensors (T4) from the one end point X4 = 0.12 m
Distance of fifth temperature sensors (T5) from the one end point X5 = 0.145 m
Distance between temperature sensors (T6) and temperature sensors (T7) Xo = 0.0140m
10.2 OBSERVATION TABLE:
Sr.No. T1 (oC) T2 (
oC) T3 (
oC) T4 (
oC) T5 (
oC) T6 (
oC) T7 (
oC) T8 (
oC)
10.3 CALCULATIONS:
Free Convection: Experimentally
5
54321 TTTTTTm
(
oC)
8TT f (oC)
fm TTT (oC)
2
4DA
(m
2)
o
f
X
TTAkQ
)( 76 (W)
LDAS (m2)
TA
Qh
S
Ex
(W/m2 oC)
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-7
Free Convection: Theoretically
5
54321 TTTTTTm
(
oC)
8TT f (oC)
15.27315.2731 fm TTT (K)
2
)15.273()15.273( fm
mf
TTT (K)
Find the properties of air ( , k , , Pr) at temperature mfT from data book.
)(K 1 1-
mfT
_____k (W/moC)
_____ (m2 /sec)
_____rP
2
1
3
TDgGr
4/1)(53.0 rru PGN
D
kNh
u
Th (W/m2 oC)
DC (m)
2
4DA
(m
2)
Ak
Chm
f
Th (m)
mL
mLtanh
mk
hH
f
Th (m)
1TTb (oC)
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-8
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 111 (
oC) (X = X1)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 222 (
oC) (X = X2)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 333 (
oC) (X = X3)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 444 (
oC) (X = X4)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 555 (
oC) (X = X5)
11 TTEx (oC)
22 TTEx (oC)
33 TTEx (oC)
44 TTEx (oC)
55 TTEx (oC)
CALCULATION TABLE:
S.No. X (m) TTh (oC) TEx (
oC)
11. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 200 volts and more than 230
volts.
2. Never switch on mains power supply before ensuring that all the ON/OFF
switches given on the panel are at OFF position.
3. Operate selector switch off temperature indicator gently.
PIN FIN UNDER FREE CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
3-9
4. Always keep the apparatus free from dust.
12. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main supply.
2. If voltmeter showing the voltage given to heater but ampere meter does not, check
the connection of heater in control panel.
13. Conclusion:
14. References:
1. Holman, J.P., “Heat Transfer”, 9th
ed., McGraw Hill, ND, 2008, Page 39-46.
2. D.S Kumar, “Heat & Mass Transfer”, 7th
ed, S.K Kataria & Sons, ND, 2008, Page
233-239, 253-256, 260-262.
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-1
4. HEAT TRANSFER FROM A PIN FIN UNDER FORCED
CONVECTION
1. Objective:
To study the heat transfer in a pin fin under forced convection.
2. Aim:
To calculate the heat transfer coefficient experimentally & theoretically for forced
convection.
Compare the theoretical temperature distribution with experimentally obtained
distribution.
3. Nomenclature:
Nom Column Heading Units Type
A Cross sectional area of fin m2 Calculated
AS Surface heat transfer area m2 Calculated
C Perimeter m Calculated
D Fin diameter m Given
g Acceleration due to gravity m/sec2 Given
Re Reynolds number * Calculated
H Parameter m Calculated
hEx Experimental heat transfer coefficient W/m2 oC Calculated
hTh Theoretical heat transfer coefficient W/m2 oC Calculated
k Thermal conductivity of air at temperature Tmf W/m oC Calculated
kf Thermal conductivity of fin material W/m oC Given
L Fin length m Given
m Fin parameter m Calculated
Nu Nusselt number * Calculated
Pr Prandtl number * Calculated
Q Amount of heat transfer W Calculated
T1- T5 Temperatures of the pin fin test section surface oC Measured
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-2
T6- T7 Temperature at center of pin fin at Xo distance oC Measured
T8 Temperature of the suction duct surface oC Measured
Tb Fin base temperature oC Calculated
TEx Experimental temperature within the fin oC Calculated
TEx1 Experimental temperature at the first sensor oC Calculated
TEx2 Experimental temperature at the second sensor oC Calculated
TEx3 Experimental temperature at the third sensor oC Calculated
TEx4 Experimental temperature at the fourth sensor oC Calculated
TEx5 Experimental temperature at the fifth sensor oC Calculated
Tf Fin temperature at any point oC Calculated
Tm Fin mean temperature oC Calculated
Tmf Fluid mean temp oC Calculated
TTh Theoretical temperature within the fin oC Calculated
TTh1 Theoretical temperature at the first sensor oC Calculated
TTh2 Theoretical temperature at the second sensor oC Calculated
TTh3 Theoretical temperature at the third sensor oC Calculated
TTh4 Theoretical temperature at the fourth sensor oC Calculated
TTh5 Theoretical temperature at the fifth sensor oC Calculated
Vo Velocity of air m/sec Calculated
V1 Velocity of air at temperature Tmf m/sec Calculated
X Distance of the sensors from one end of the fin m Given
X1
Distance of first temperature sensors (T1) from the one
end point m Given
X2 Distance of second temperature sensors (T2) from the one
end point m Given
X3 Distance of third temperature sensors (T3) from the one
end point m Given
X4 Distance of fourth temperature sensors (T4) from the one
end point m Given
X5 Distance of fifth temperature sensors (T5) from the one
end point m Given
Xo Distance between temperature sensors (T6) and
temperature sensors (T7) m Given
a Density of air kg/m3 Given
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-3
a1 Density of air at temperature (Tmf) kg/m3 Calculated
Fin effectiveness * Calculated
Dynamic viscosity of air kg/m-sec Calculated
Kinematic viscosity of air m2/sec Calculated
ΔT Temperature difference on fin surface oC Calculated
ΔT1 Temperature difference on fin surface K Calculated
* Symbols represent unit less quantity
4. Bock Diagram:
Fig. 4.1 Line Diagram of Pin Fin Apparatus
5. Introduction:
Extended surfaces or fins are used to increase the heat transfer rate from a surface to a
fluid wherever it is not possible to increase the value of the surface heat transfer
coefficient or the temperature difference between the surface and the fluid. The use of this
is very common and they are fabricated in a variety of shapes circumferential fins around
the cylinder of a motorcycle engine and fins attached to condenser tubes of a refrigerator
are few familiar examples.
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-4
6. Theory:
Forced convection phenomenon is due to the temperature difference between the surface and
the fluid and is created by any external agency, such as blower, pump etc. The experimental
heat transfer coefficient is given for both the free and forced convection by,
TA
Qh
S
aEx
Theoretical heat transfer coefficient for free and forced convection, can be calculated by
following formulae:
D
kNh
u
Th
Where hEx, hTh are experimental and theoretical heat transfer coefficient respectively.
Qa is amount of heat transfer, SA is heat transfer area and T is temperature
difference. Nu is nusselt no., k is thermal conductivity and D is diameter.
It is obvious that a fin surface stick out from primary heat transfer surface. The
temperature difference with surrounding fluid will steadily diminish as one moves out
along the fin. The design of the fins therefore requires knowledge of the temperature
distribution in the fin. The main object of this experimental set up is to study the
temperature distribution in a simple pin fin.
Fin parameter
Ak
hCm
b
Fin effectiveness
mL
mLtanh
The temperature profile within a pin fin is given by:
mLHmL
xLmHxLm
TT
TT
Fb
f
o sinhcosh
)(sinh)(cosh
Where Tf is the free stream temperature of air; Tb is the temperature of fin at its base;
T is the temperature within the fin at any x; L is the length of the fin and D is the fin
diameter, m is the fin parameter, o
is temperature distribution profile.
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-5
7. Description:
It consists of pin type fin fitted in a duct. A blower is provided on one side of duct. Air flow
rates can be varied by given flow control valve. A heater is provided to heats one end of fin
and heat flows to another end. Heat input to the heater is given through variac. Digital
voltmeter and digital ammeter are provided for heat measurement. Digital temperature
indicator measures temperature distribution along the fin. Airflow is measured with the help
of velocity meter.
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50Hz, 5-15Amp socket with earth
connection.
2. Bench Area Required: 1.5 m x 1m
9. Experimental Procedure:
9.1 STARTING PROCEDURE:
1. Ensure that mains ON/OFF switch given on the panel is at OFF position &
dimmer stat is at zero position.
2. Connect electric supply to the set up.
3. Switch ON the mains ON / OFF switch.
4. Set the heater input by the dimmer stat, voltmeter in the range 40 to 100V.
5. Switch ON the blower.
6. Set the flow of air by operating the valve V1.
7. After 0.5 hrs. note down the reading of voltmeter, ampere meter, velocity sensor
and temperature sensors at every 10 minutes interval (till observing change in
consecutive readings of temperatures ± 0.2 oC).
9.2 CLOSING PROCEDURE:
1. When experiment is over set the dimmer stat to zero position.
2. Switch OFF the blower.
3. Switch OFF the mains ON/OFF switch.
4. Switch OFF electric supply to the set up.
5. Switch OFF electric supply to the set up.
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-6
10. Observations & Calculations:
10.1 DATA:
Thermal conductivity of fin material kf = 204.2 W/moC
Density of air a = 1.15 kg/m3
Acceleration due to gravity g = 9.81 m/sec2
Diameter of fin D = 0.020 m
Length of fin L = 0.145 m
Distance of first temperature sensors (T1) from the one end point X1 = 0.045 m
Distance of second temperature sensors (T2) from the one end point X2 = 0.07m
Distance of third temperature sensors (T3) from the one end point X3 = 0.095 m
Distance of fourth temperature sensors (T4) from the one end point X4 = 0.12 m
Distance of fifth temperature sensors (T5) from the one end point X5 = 0.145 m
Distance between temperature sensors (T6) and temperature sensors (T7) Xo = 0.0140m
10.2 OBSERVATION TABLE:
Sr. No. T1 (oC) T2 (
oC) T3(
oC) T4(
oC) T5(
oC) T6(
oC) T7(
oC) T8(
oC) Vo m/sec
10.3 CALCULATIONS:
Forced Convection: Experimentally
5
54321 TTTTTTm
(oC)
8TT f (oC)
fm TTT (oC)
2
4DA
(m2)
o
f
X
TTAkQ
)( 76 (W)
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-7
LDAS (m2)
TA
Qh
S
Ex
(W/m2 oC)
Forced Convection: Theoretically
5
54321 TTTTTTm
(oC)
8TT f (oC)
2
)15.273()15.273( fm
mf
TTT (K)
Find the properties of air ( 1a , k, ) at temperature mfT from data book.
_____k (W/moC)
_____ (kg/m-sec)
_____1 a (kg/m3)
15.2731
f
mfo
T
TVV (m/sec)
11 ae
DVR
466.0)(615.0 eu RN
D
kNh u
Th (W/m2 oC)
2
4DA
(m2)
DC (m)
Ak
Chm
f
Th (m)
mL
mLtanh
mk
hH
f
Th (m)
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-8
1TTb
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 111 (oC) (X = X1)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 222 (oC) (X = X2)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 333 (oC) (X = X3)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 444 (oC) (X = X4)
ffbTh TTTmLHmL
XLmHXLmT
sinhcosh
)(sinh)(cosh 555 (oC) (X = X5)
11 TTEx (oC)
22 TTEx (oC)
33 TTEx (oC)
44 TTEx (oC)
55 TTEx (oC)
CALCULATION TABLE:
S.No. X (m) TTh (oC) TEx (
oC)
11. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 200 volts and more than 230
volts.
PIN FIN UNDER FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
4-9
2. Never switch on mains power supply before ensuring that all the ON/OFF switches
given on the panel are at OFF position.
3. Operate selector switch off temperature indicator gently.
4. Always keep the apparatus free from dust.
12. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main supply.
2. If voltmeter showing the voltage given to heater but ampere meter does not, check
the connection of heater in control panel.
13. Conclusion:
14. References:
1. Holman, J.P., “Heat Transfer”, 9th
ed., McGraw Hill, ND, 2008, Page 39-46.
2. D.S Kumar, “Heat & Mass Transfer”, 7th
ed, S.K Kataria & Sons, ND, 2008, Page
233-239, 253-256, 260-262.
FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
5- 1
5. HEAT TRANSFER IN FORCED CONVECTION
1. Objective:
Study of convection heat transfer in forced convection.
2. Aim:
Comparison of heat transfer coefficient for different air flow rates and heat flow rates.
To find surface heat transfer coefficient for a pipe losing heat by forced convection.
3. Nomenclature:
A = Heat transfer area, m2
Cp = Specific heat of air, kJ/kg oC
Co = Coefficient of discharge
Di = Inner diameter of test section, m
Do = Outer diameter of test section, m
dp = Diameter of pipe, m
do = Diameter of orifice, m
∆H = Head loss, m of air
I = Ammeter reading, amp
L = Length of test section, m
m = Mass flow rate of air, kg/s
Qa = Heat taken by air, W
Q = Flow rate of air, m3/s
h1,h2 = Manometer readings, cm
T1 = Air inlet temperature, oC
T2,T3,T4,T5 = Surface temperature of test section, oC
T6 = Air outlet temperature, oC
Ts = Average surface temp, oC
Ta = Average temperature of air, oC
Tmf = Mean film temperature, o
C
U = Heat transfer coefficient, Watt/m²C
V = Voltmeter reading, volts
FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
5-2
w = Density of water, kg/m3
a = Density of air, kg/m3
4. Introduction:
Convection is defined as process of heat transfer by combined action of heat
conduction and mixing motion. Convection heat transfer is further classified as
Natural Convection and Forced Convection. If the mixing motion takes place due to
density difference caused by temperature gradient, then Natural or Free Convection
knows the process of heat transfer as heat transfer. If the mixing motion is induced by
Forced Convection knows some external means such as a pump or blower then the
process as heat transfer.
5. Block Diagram:
Fig. 5.1 Line Diagram of Forced Convection Apparatus
FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
5- 3
Fig. 5.2 Forced Convection Apparatus
6. Theory:
Air flowing into the heated pipe with very high flow rate the heat transfer rate
increases. The temperature taken by the cold air from the bulk temperature and rises
its temperature. Thus, for the tube the total energy added can be expressed in terms of
a bulk-temperature difference by
)( 12
.
bbP TTCmq
Bulk temperature difference in terms of heat transfer coefficient
12 bb TThAq
7. Description:
The apparatus consists of blower unit fitted with the test pipe. The test section is
surrounding by nichrome heater. Four Temperature Sensors are embedded on the test
section and two temperature sensors are placed in the air stream at the entrance and
exit of the test section. Test Pipe is connected to the delivery side of the blower along
with the Orifice. Input to the heater is given through a dimmerstat and measured by
volt meter & Ampere meter. Digital temperature indicator is provided to measure
temperature. Airflow is measured with the help of Orifice meter and the water
manometer fitted on the board.
FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
5-4
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50Hz, 5-15Amp socket with earth
connection.
2. Floor Area Required: 1.5 m x 0.5 m
9. Experimental Procedure:
9.1 Starting Procedure:
1. Ensure that Mains ON/OFF switch given on the panel is at OFF position &
dimmer stat is at zero position.
2. Connect electric supply to the set up.
3. Fill water in manometer up to half of the scale, by opening PU pipe connection
from the air flow pipe and connect the pipe back to its position after doing so.
4. Switch ON the Mains ON / OFF switch.
5. Set the heater input by the dimmer stat, voltmeter in the range 40 to 100 V.
6. Switch ON the blower and Set the flow of air by operating the valve.
7. After 0.5 hrs. note down the reading of voltmeter, ampere meter, manometer and
temperature sensors in the observation table after every 10 minutes interval till
observing change in consecutive readings of temperatures (± 0.2 oC).
9.2 Closing Procedure:
1. After experiment is over set the dimmer stat to zero position.
2. Switch OFF the blower.
3. Switch OFF the Mains ON/OFF switch.
4. Switch OFF electric supply to the set up.
10. Observation:
10.1 Data:
Di = 0.028 m
Do = 0.038 m
L = 0.4 m
do = 0.014 m
dp = 0.028 m
w = 1000 kg/m3
Co = 0.64
FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
5- 5
10.2 Observation Table:
Sr.
No.
V
volts
I
amp
T1
oC
T2
oC
T3
oC
T4
oC
T5
oC
T6
oC
h1
cm
h2
cm
11. Calculations:
4
5432 TTTTTs
,
oC =
oC
2
61 TTTa
,
oC =
oC
2
as
mf
TTT
,
oC =
oC
Cp = ___________ J/kg-K (Take value from data book at Tmf )
a = ___________ kg/m3 (Take value from data book at Tmf )
LDA i , m2 = m
2
1
100
21
a
whhH
, m = m
22
2
op
opo
aa
HgaaCQ
, m
3/s = m
3/s
aQm , kg/s = kg/s
)( 16 TTCmQ Pa , W = W
)( as
a
TTA
QU
, W/m
2 C = W/m
2 C
12. Result Table
Sr. No. m, kg/s , Watt U, W/m2 C
FORCED CONVECTION
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
5-6
13. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 180 volts and above than 230
volts.
2. Never switch ON mains power supply before ensuring that all the ON/OFF
switches given on the panel are at OFF position.
3. Operate selector switch of temperature indicator gently.
4. Always keep the apparatus free from dust.
14. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main
supply.
2. Voltmeter showing the voltage given to heater but ampere meter does not, check
the connection of heater in control panel.
15. Conclusions
16. References:
1. McCabe, W.L., Smith, J.C., Harriott, P., “Unit Operations of Chemical
Engineering”, 7th
ed., McGraw Hill, NY, 2005, Page 296.
2. Y.A.Cengel, “Heat & Mass Transfer”, McGraw Hill, ND, 2008, Page 25-26.
STEFAN BOLTZMANN
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
6-1
6. STEFAN BOLTZMANN APPARATUS
1. Objective:
Study of Radiation heat transfer by black body and study the effect of hemisphere
temperature on it.
2. Aim:
To find out the Stefan Boltzmann constant
3. Nomenclature:
AD = Area of disc, m2
D = Diameter of disc, m
m = Mass of disc, kg
s = Specific heat of the disc material, kJ/kg oC
T = Temperature of disc at time t, K
T1 = Temperature of enclosure, oC
T2 = Temperature of disc at time t, oC
T2i = Initial temperature of the disc, oC
TE = Temperature of enclosure, K
TD = Initial temperature of the disc, K
t = Time, sec
σ = Stefan Boltzmann constant, Watt/m2
K4
4. Introduction:
All substances at all temperature emit thermal radiation. Thermal radiation is an
electromagnetic wave and does not require any material medium for propagation. All
bodies can emit radiation and have also the capacity to absorb all of a part of the
radiation coming from the surrounding towards it.
STEFAN BOLTZMANN
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
6-2
5. Block Diagram:
Fig. 6.1 Line Diagram of Stefan Boltzmann Apparatus – Front and Top View
Fig. 6.2 Stefan Boltzmann Apparatus
STEFAN BOLTZMANN
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
6-3
6. Theory:
The most commonly used law of thermal radiation is the Stefan Boltzmann law which
states that thermal radiation heat flux or emissive power of a black surface is
proportional to the fourth power of absolute temperature of the surface and is given by
4TEA
Qb W/m
2 K
4
The constant of proportionally is called the Stefan Boltzmann constant and has the
value of 5.67 X 10-8
W/m² K4
. The Stefan Boltzmann law can be derived by
integrating the Planck’s law over the entire spectrum of wavelength from 0 to ∞. The
objective of this experimental set up is to measure the value of this constant fairly
closely, by an easy arrangement.
7. Description:
The apparatus consists of a hemisphere fixed to a Bakelite Plate, the outer surface of
which forms the jacket to heat it. Hot water to heat the hemisphere is obtained form a
hot water tank, which is fixed above the hemisphere. The copper test disc is
introduced at the center of hemisphere. The temperatures of hemispheres and test disc
are measured with the help of temperature sensors.
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50Hz, 5-15Amp socket with earth
Connection.
2. Water supply: Initial fill.
3. Drain Required.
4. Bench Area Required: 1m x 1m.
9. Experimental Procedure:
Starting Procedure:
1. Close all the valves.
2. Fill heater tank 3/4th
with water by removing the lid of the tank and put the lid
back to its position after doing so.
3. Ensure that switches given on the panel are at OFF position.
4. Connect electric supply to the set up.
STEFAN BOLTZMANN
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
6-4
5. Switch ON the Mains ON / OFF switch.
6. Set the desired water temperature in the DTC by operating the increment or
decrement and set button of DTC.
7. Switch ON the heater and wait till desired temperature achieves.
8. Remove the disc from the bottom of test chamber by removing the support
provided to hold it.
9. Switch OFF the heater.
10. Fill test chamber with hot water of heater tank by opening the valve provided at
top of the chamber, till observing the overflow of water through chamber outlet
and then close the valve.
11. Note the reading of water temperature (T1) and initial temperature of the disc
(T2i).
12. Insert the disc to the bottom of the chamber and note the reading of temperature
T2 after 5-10 sec interval.
Closing Procedure:
1. After experiment is over switch OFF the Mains ON/OFF switch.
2. Switch OFF electric supply to the set up.
3. Drain the water from chamber and heater tank by the drain valve provided.
10. Observation & Calculation:
10.1 Data:
D = 0.02 m
m = 0.0051 kg
s = 383 J/kg-K
10.2 Observation:
T1 = ----------- oC
T2i = ----------- oC
t, sec T2, ºC t, sec T2, ºC t, sec T2, ºC
0 20 40
5 25 45
10 30 50
15 35 55
STEFAN BOLTZMANN
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
6-5
10.3 Calculations:
2
4DAD
, m
2 = -------------------- m
2
15.2731TTE K = -------------------- K
15.2732 iD TT K = -------------------- K
t, sec 15.2732TT K t, sec 15.2732TT K
0 30
5 35
10 40
15 45
20 50
25 55
Plot the graph of T vs t and obtain the slop dT/dt.
Emissive power of Black body is given by,
44
DEDb TTAE
Energy stored in the copper plate (black body) = dtdTsm
According to first law of thermodynamics,
Energy transferred by radiation = energy stored in the black body
44
DED TTA
dtdTsm
W/m
2 K
4
= ------------------------- W/m
2 K
4
11. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 180 volts and above than
230 volts.
2. Never switch ON mains power supply before ensuring that all the ON/OFF
switches given on the panel are at OFF position.
3. Operator selector switch off temperature indicator gently.
STEFAN BOLTZMANN
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
6-6
4. Always keep the apparatus free from dust.
12. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main
supply.
13. Conclusion
14. References:
1. Holman, J.P., “Heat Transfer”, 9th
ed., McGraw Hill, ND, 2008, Page 372.
2. Y.A.Cengel, “Heat & Mass Transfer”, McGraw Hill, ND, 2008, Page 28, 667-
671.
EMISSIVITY MEASUREMENT
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
7-1
7. EMISSIVITY MEASUREMENT APPARATUS
1. Objective:
Study of Radiation heat transfer by black plate and test plate
2. Aim:
To find out the emissivity of test plate
3. Nomenclature:
A = Heat transfer area of disc, m2
εs = Emissivity of test plate
εb = Emissivity of black plate
IB = Ammeter reading of black plate, amp
IS = Ammeter reading of test plate, amp
QB = Heat input to black plate, W
QS = Heat input to test plate, W
DS = Diameter of test body, m
DB = Diameter of black body, m
T1 = Surface temperature of black plate, oC.
T2 = Surface temperature of test plate, oC.
T3 = Ambient temperature of enclosure, oC.
TS = Surface temperature of Discs, K
TD = Ambient temperature of enclosure, K
VB = Voltmeter reading of black plate, volts
VS = Voltmeter reading of test plate, volts
= Stefan Boltzmann Constant, W/m2
K
4. Introduction:
All substances at all temperature emit thermal radiation. Thermal radiation is an
electromagnetic wave and does not require any material medium for propagation. All
bodies can emit radiation and have also the capacity to absorb all of a part of the
radiation coming from the surrounding towards it.
EMISSIVITY MEASUREMENT
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
7-2
5. Block Diagram:
Fig. 7.1 Line Diagram of Emissivity Measurement Apparatus
Fig. 7.2 Emissivity Measurement Apparatus
6. Theory:
An idealized black surface is one, which absorbs all the incident radiation with
reflectivity and transmissivity equal to zero. The radiant energy per unit time per unit
area from the surface of the body is called as the emissive power and is usually
denoted by E. The emissivity of the surface is the ratio of the emissive power of the
surface to the emissive power of a black surface at the same temperature. It is denoted
by ε.
EMISSIVITY MEASUREMENT
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
7-3
BE
E
For black body absorptivity = 1 and by the knowledge of Kirchoff's Law of
emissivity of the black body becomes unity. Emissivity being a property of the
surface depends on the nature of the surface and temperature. The present
experimental set up is designed and fabricated to measure the property of emissivity
of the test plate surface at various temperatures.
7. Description:
The experimental set up consists of two plates; the test plate comprises of a mica
heater sandwiched between two circular plates. Black plate is identical with test plate,
but its surface is blackened. As all the physical properties, dimension and temperature
are equal; heat losses from both plates will be same except radiation loss. Hence the
input difference will be due to difference in emissivity. Both plates are supported on
individual brackets in a wooden enclosure with one side glass to ensure steady
atmospheric conditions. Temperature Sensors are provided to measure the
temperature of each plate and surrounding. Supply is given to heaters through
separate variacs so that temperatures of both can be kept equal and is measured with
Digital Voltmeter and Digital Ammeter.
8. Utilities Required:
1. Electricity Supply: Single Phase, 220 VAC, 50Hz, 5-15Amp socket with earth
connection.
2. Bench Area Required: 1m x 1m
9. Experimental Procedure:
Starting Procedure:
1. Ensure that Mains ON/OFF switch given on the panel is at OFF position &
dimmer stat is at zero position.
2. Connect electric supply to the set up.
3. Switch ON the Mains ON / OFF switch.
4. Set the test plate heater input by the dimmer stat, voltmeter in the range 40 to
100V.
EMISSIVITY MEASUREMENT
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
7-4
5. Set black plate heater input by dimmer state, voltmeter, 2 V above than test plate
heater.
6. After 0.5 hrs. observe the difference in surface temperature of black plate (T1)
and test plate (T2) and adjust the heater input of black plate to make both the
sensor reading same.
7. Wait for 5 minutes every time after changing the black plate heater input and then
again change the input if required.
8. At same surface temperature note down the reading of voltmeter, ampere meter
and temperature sensors in the observation table.
Closing Procedure:
1. After experiment is over set the dimmer stat to zero position.
2. Switch OFF the Mains ON/OFF switch.
3. Switch OFF electric supply to the set up.
10. Observation & Calculations:
10.1 Data:
DS = 0.16 m
DB = 0.16 m
σ = 5.67 x 10-8
W/m2 K
εb = 1
10.2 Observation Table:
Black Plate:
Sr.No.
VB
volts
IB
amp
T1
oC
EMISSIVITY MEASUREMENT
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
7-5
Test plate:
Sr.No. VS
volts
IS
amp
T2
oC
T3
oC
10.3 Calculations: (At T1=T2)
BBB IVQ , W = ----------------W
SSS IVQ , W = --------------- W
2
4SDA
, m
2 = --------------- m
2
15.2731 TTS K
15.2733 TTD K
Emissive power of black plate,
)(44
DSbB TTAE
Emissive power of test plate,
)(44
DSsS TTAE
But,
Difference in radiation heat transfer = Difference in input electric energy
SbSB EEQQ
)()(4444
DSsDSbSB TTATTAQQ
)(44
DS
SBbs
TTA
QQ
= --------------------
11. Precautions & Maintenance Instructions:
1. Never run the apparatus if power supply is less than 180 volts and above than
230volts.
EMISSIVITY MEASUREMENT
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
7-6
2. Never switch ON mains power supply before ensuring that all the ON/OFF
switches given on the panel are at OFF position.
3. Operate selector switch of temperature indicator gently.
4. Always keep the apparatus free from dust.
12. Troubleshooting:
1. If electric panel is not showing the input on the mains light, check the main
supply.
2. If voltmeter showing the voltage given to heater but ampere meter does not, check
the connection of heater in control panel.
13. Conclusion:
14. References:
1. Holman, J.P., “Heat Transfer”, 9th
ed., McGraw Hill, ND, 2008, Page 371-378.
2. Y.A.Cengel, “Heat & Mass Transfer”, McGraw Hill, ND, 2008, Page 27-29.
TUBE IN TUBE HEAT EXCHANGER
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
8-1
8. PARALLEL FLOW/COUNTER FLOW HEAT EXCHANGER
1. Objective:
To study the heat transfer phenomena in Parallel / Counter flow arrangements
2. Aim:
To calculate rate of heat transfer, LMTD and overall heat transfer coefficient for both
type of heat exchanger
To compare the performance of Parallel and Counter flow heat exchanger
3. Nomenclature:
Ai = Inside heat transfer area, m2
Ao = Outside heat transfer area, m2
Cph = Specific heat of hot fluid at mean temperature, kJ/kg oC
Cpc = Specific heat of cold fluid at mean temperature, kJ/kg oC
Do = Outer diameter of tube, m
Di = Inner diameter of tube, m
Fh = Flow rate of hot water, LPH
Fc = Flow rate of cold water, LPH
L = Length of tube, m
Mh = Mass flow rate of the hot water, kg/s
Mc = Mass flow rate of the cold water, kg/s
Q = Average heat transfer from the system, W
Qc = Heat gained by the cold water, W
Qh = Heat loss by the hot water, W
Th = Mean temperature of hot water, oC
Tc = Mean temperature of cold water, oC
T1 = Inlet temperature of the hot water, oC
T2 = Outlet temperature of the hot water, oC
T3 = Inlet temperature of the cold water, oC
T4 = Outlet temperature of the cold water for parallel flow, oC
T5 = Outlet temperature of the cold water for counter flow, oC
TUBE IN TUBE HEAT EXCHANGER
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot
8-2
ΔTm= Log mean temperature difference, oC
Ui = Inside overall heat transfer coefficient, W/ m2 o
C
Uo = Outside overall heat transfer coefficient, W/ m2 o
C
c = Density of cold water at mean temp, kg/m3
h = Density of hot water at mean temp, kg/m3
4. Blok Diagram:
Fig. 8.1 Line Diagram of Parallel/Counter Flow Heat Exchanger Apparatus
TUBE IN TUBE HEAT EXCHANGER
Heat Transfer (2151909)
Department of Mechanical Engineering
Darshan Institute of Engineering and Technology, Rajkot