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MEWAR UNIVERSITY Year of the Examination: Programme: M.Tech. 1 ST Year 1 ST Semester Semester: I ST Course Title: Applied Mathematics Course Code: TE-411 Maximum Marks: Total No. of Questions: Total No. of Pages used: No. of Questions to be attempted: All Time Allowed: The candidates, before starting to write the solutions, should please check the Question Paper for any discrepancy, and also ensure that they have been delivered the question paper of right course no. and title. Applied Mathematics Assignment-1 1. Let 3 2 : R R T be the linear transformation defined by 2 1 2 2 1 2 1 5 3 2 x x x x x x x T . 2. Find the matrix, A, such that ) ( ) ( x A x T for all 2 R x . 3. Find the linear transformation 2 2 : R R T that rotates each of the vectors 1 e and 2 e counterclockwise 90 . Then explain why T rotates all vectors in 2 R counterclockwise 0 90 . 4. Find the linear transformation 2 2 : R R T that perpendicularly projects both of the vectors 1 e and 2 e onto the line 1 2 x x . Then explain why T perpendicularly projects all vectors in 2 R onto the line 1 2 x x . 5. Use the Gram{Schmidt procedure to compute an orthonormal basis for the column space of the 4 by 3 matrix A where 1 1 1 0 3 2 1 2 0 1 2 1 A .
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Page 1: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Year of the Examination:Programme: M.Tech. 1ST Year 1ST SemesterSemester: IST Course Title: Applied MathematicsCourse Code: TE-411 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:The candidates, before starting to write the solutions, should please check the Question Paper forany discrepancy, and also ensure that they have been delivered the question paper of rightcourse no. and title.

Applied MathematicsAssignment-1

1. Let32: RRT be the linear transformation defined by

21

2

21

2

1

53

2

xx

x

xx

x

xT

.2. Find the matrix, A, such that

)()( xAxT for all2Rx .

3. Find the linear transformation22: RRT that rotates each of the vectors 1e and 2e

counterclockwise 90 . Then explain why T rotates all vectors in2R counterclockwise

090 .

4. Find the linear transformation22: RRT that perpendicularly projects both of the

vectors 1e and 2e onto the line 12 xx . Then explain why T perpendicularly projects all

vectors in2R onto the line 12 xx .

5. Use the Gram{Schmidt procedure to compute an orthonormal basis for the column

space of the 4 by 3 matrix A where 111

032

120

121

A

.

Page 2: Thermal  (TE-411,412,413,414,511)

6. Given that)1,7,3(and)1,0,1(),0,1,2(

1 32 vvvand is a basis of

3R and assumingthat we’re working with the standard Euclidean inner product construct an orthogonal

basis for3R .

7. Given that)0,0,0,1(and)0,0,1,1(,)0,1,1,1(),1,1,1,1(

1 432 vvvvand is a basis

of4R and assuming that we’re working with the standard Euclidean inner product

construct an orthogonal basis for4R .

8. Determine a series solution for the following differential equation

about 00 x 0 yy .9. Determine a series solution for the following differential equation

about 00 x 0 xyy .10.Find the solution of

0)1(2)1( 2 ymmyxyx .11.Derived the Rodrigue’s formula.

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Name:

Roll No.

Last Date of Submission: / /

Page 3: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Year of the Examination:Programme: M.Tech. 1ST Year 1ST SemesterSemester: IST Course Title: Applied MathematicsCourse Code: TE-411 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:The candidates, before starting to write the solutions, should please check the Question Paper forany discrepancy, and also ensure that they have been delivered the question paper of rightcourse no. and title.

Applied MathematicsAssignment-2

1. Discuss the orthogonality of Legendre polynomial.

2. Find the solution of 0)( 222 ypxyxyx .3. Discuss the orthogonality of Bessel Functions.4. Find the solution of One dimensional wave equation.5. Find the solution of one dimensional heat equation.6. Find the solution of Laplace equation.7. Discuss Charpits methods to solve PDE.8. Discuss any one method to solve PDE.9. Discuss Euler’s method to solve PDE.10. What is covariant and mixed Tensors.11. Discuss Christoffel’s symbols.

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Name:

Roll No.

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Page 4: Thermal  (TE-411,412,413,414,511)

(Figure 1). The slab is initially at a temperature of 35 oC. As the reaction starts, the slab is exposed to a heat flux of 3 X 10 5 W/ m2. use a strongly implicit method (unlike Crank-Nicolson, all the terms of the spatial derivative are at unknown time level) with a space increment of x = 25 mm, determine the temperature distribution up to an interior point that is 150 mm away from the surface after 25 seconds have elapsed. For copper, k = 401 W/ mK and = 117 X 10 -6 m2 /s. You need not solve the complete problem. Formulate the problem by writing the algebraic equations and forming the Matrices. One of the boundary conditions of the problem is given by the node next to the node at 150 mm, which

is assumed to remain at 35 oC. The condition for this node is 1n ni iT T . The

energy balance on a control volume on the surface node is obtained by

vT dT

c V k A qAt d

In the above equation, V is the volume, A is the area and q is incoming heat

flux (all in 2D). All other interior nodes can be calculated by using unsteady one

dimensional heat conduction equation as 2

2

T T

t x

For the compact ness of the equations, substitute F as grid Fourier number

2( )

t

x

in the expressions. You may like to consider the nodal points at the

cell centre. 2. Consider the unsteady 2-D heat conduction equation, given by

Approximate the time derivative by forward differencing and the spatial derivatives by central differencing. Assume

2 2

2 2

T T T

t x y

)ykIxkI(at mmee)t,y,x(

x

Computational Methods in Fluid Flow and Heat Transfer (TE-412)

Assignment 1 1. Consider a thick copper slab that is working as a wall of a nuclear reactor

Page 5: Thermal  (TE-411,412,413,414,511)

Determine the equation for error. Substitute the mathematical function of error (as given above) in the equation for error and show that, the amplification factor, G is given by

Also, find that the stability requirement is

3. Consider the following nonlinear equation

Is this equation in conservative form? If not, suggest a conservative form of the equation. Consider a computational domain in x (x=0 to x=L ) and y (y=0 to y =H) and assume that all the values of the dependent variable are known at x=0 (along y=0 to y =H at every Δy interval). Develop an implicit expression for detrmining u at all the points along (y = 0 to y = H) at the next (x + Δx). Assume that the boundary conditions are known at (x + Δx). Also you are allowed to use the non-conservative form of the convective term.

Figure 1

)yk(cosd)xk(cosdG mymx 12121

2

1 yx dd

2

2

u uu

x y

Page 6: Thermal  (TE-411,412,413,414,511)

The block is initially heated at a temperature WT and kept in an ambience that is

at a lower temperatureT . The dimension of one side of the block is L. The block

is infinitely long in the z direction. The thermal diffusivity of the metal is . The physical boundary conditions have been shown in the figure. Complete the formulation of the problem

(i) Write the non-dimensional governing equation. (ii) Identify the solution domain (iii) Write the non-dimensional form of the boundary conditions (iv) Write the initial conditions.

0t x

or in short notation : 0t x

Here is any scalar parameter. The spatial derivative is approximated by a central difference scheme on an equidistant grid with x Constant . Please explain the following time-marching schemes based on the scalar transport equation: A : explicit Euler scheme

4. Consider the metallic square block shown in the figure below.

5. In order to investigate and analyze the properties of numerical schemes, often the following scalar (one-dimensional) convection equation is considered:

Page 7: Thermal  (TE-411,412,413,414,511)

B : implicit Euler scheme C: three-point backward scheme (implicit) D: Lax-Keller scheme (explicit) E: Lax-Wendroff scheme (explicit) F: Mac Cormack scheme (predictor-corrector, explicit) G: Low- storage Runge-Kutta scheme (3 sub-steps, explicit) Furthermore, the tasks are the following:

Please determine the spatial and temporal truncation error of scheme A and D. based on Taylor series expansions. Prove the consistency of the schemes.

Explain the stability analysis of von Neumann based on scheme A and B.

Page 8: Thermal  (TE-411,412,413,414,511)

E F G0

t x y

Substitute E, F and G appropriately. Discretize the equation in an arbitrary geometry, following the physics of Finite Volume formulation, where grid lines are drawn as given in Figure 1.

n

n

j−1

j

j+1

i−1

i+1

i

B

C

A

D

n

n

T ax by c Where a,b and c depend on the nodal coordinates. The vertices of the triangle are

identified as i, j and k . Find the shape functions, i jN , N and kN for the element.

6. The conservative form of continuity equation is given by

Fugure-1 7. A domain has been discretized in finite number of triangular element in order to solve two-dimensional heat conduction equation. The interpolation of temperature within an element is given by

Page 9: Thermal  (TE-411,412,413,414,511)

D

y

xA B

C

Free−slip

no−slip

inflow outflowu=u(y)

Figure-2

AB, BC, CD and ADsides (please follow the order in which they appear). Please refer to Figure 2.

8. Suppose, you are modeling laminar flow by Stream-function-vorticity method in a 2D-plane channel as shown below. Write the boundary conditions for u, v, and on

pressure equation in SIMPLER algorithm.

9. Explain how the pressure correction equation of SIMPLE algorithm becomes

10. Discretize the y-component of momentum Equations (Navier-Stokes equations) using the second upwind method of Simplified MAC Algorithm. For further improvement, use QUICK scheme.

Page 10: Thermal  (TE-411,412,413,414,511)

1. Check whether the explicitly advanced U and V components (pertaining to MAC algorithm) satisfy continuity equation in each cell.

2. Show that the pressure-velocity correction scheme of MAC algorithm is basically equivalent to solution of Poisson’s equation for pressure.

B

H

L a

L

x

z A

y

u

Figure 1 For this assignment consider a 2D flow and neglect the dimensions in the z –direction. Following are the relevant dimensions: B = 1.0, H = 10.0, La = 7.5, L = 22.0.

The velocity profile is uniform at the inflow plane. Use 178 X 82 grids and solve complete Navier-Stokes equations on the 2D domain using MAC algorithm. The Reynolds number of interest is 40. Draw the streamlines and velocity vectors in the domain. Having computed the velocity field, compute the temperature field using Successive Over Relaxation (SOR) scheme. The upper wall, lower wall and the obstacles are at temperature TW . The incoming fluid is at a temperature T . Use smooth outflow

boundary condition at the outflow plane. The Prandtl number of the fluid is 6.5

3. Consider a square cylinder in a channel as shown in Figure 1.

Computational Methods in Fluid Flow and Heat Transfer (TE-412)

Assignment 2

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While formulating the numerical scheme for solution, you plan to follow ADI method in two special dimensions. Determine the expressions that would be used to predict 1/ 2n

ijT from nijT and then 1n

ijT from 1/ 2nijT . Show that the temporal

2 2

2 20

x y

(i) For the finite volume ABCD in Figure 1, write the area integral of the above equation, apply Green’s theorem and get the expression of the integrals in terms of / x and / y .

(ii) Show the scheme of evaluation of at least two terms, say , 1/ 2/

i jx

and , 1/ 2/

i jy

.

Also write the the final expression of the line integrals in the above two expressions in (ii).

2 2

2 2

T T T

t x y

Figure 1

4. Consider the unsteady 2-D heat conduction equation, given by

accuracy of such a scheme is of second order. 5. Consider Laplace’s equation

Page 12: Thermal  (TE-411,412,413,414,511)

2

uy

, vx

and

v u

x y

In order to solve 2D N-S Equations and the equation of continuity via the vorticity-stream function approach, you need a governing equation for vorticity transport. Find the equation for vorticity transport. After calculating vorticity and the velocities from the current iteration, the values of for next iteration have to

1 1 1 1 11/ 2, 1/ 2, , 1/ 2 , 1/ 2

1 11, , 0

n nij ij i j i j i j i j

n ni j i j

x yu u E E y F F x

t

y p p

Write down the expressions for 1E s and 1F s in the above equation so that the equation can be finally expressed as

1 1 1 1, 1, , 0u n u n u n n

ij i j nb nb i j i j

x ya u a u b y p p

t

Consider a similar expression for the discretized v-momentum equation (you need not derive)

1 1 1 1, , 1 , 0v n v n v n n

ij i j nb nb i j i j

x ya v a v b y p p

t

During the calculation of (n+1) th time step, the above equations cannot be directly used since the pressures are at (n+1) th level are not known. Write the expression for the provisional velocities using a suitable superscript, say *u and

*v . Find out the approximate expression for cu , where cu stands for velocity correction.

Figure 2

6. The stream function and vorticity can be related to a 2D flow field through

be calculated. For this purpose, you require to solve a Poisson equation for stream function. Formulate the Poisson equation. 7. Consider a staggered grid arrangement as shown in Figure 2. You are solving 2D unsteady N-S equations for incompressible flows using a finite volume technique. Write down the discretized form of the continuity equation. The x-momentum equation is given by

Page 13: Thermal  (TE-411,412,413,414,511)

3

2 0k T Q

Figure 3 Evaluate the term

( . )ik N T dxdy

If 2 3 2 3 3 21

1 2 3 2 3 1 3 1 2

( ) ( ) ( )

( ) ( ) ( )

x y y x y y x y yN

x y y x y y x y y

1 3 3 1 3 12

1 2 3 2 3 1 3 1 2

( ) ( ) ( )

( ) ( ) ( )

x y y x y y x y yN

x y y x y y x y y

and

1 2 2 1 1 23

1 2 3 2 3 1 3 1 2

( ) ( ) ( )

( ) ( ) ( )

x y y x y y x y yN

x y y x y y x y y

ijp , the pressures of n th time step are used in the equation. In the absence of n 1

8. The following 2D heat conduction equation has to be solved using FEM.

You plan to apply Galerkin technique in order to find out temperature distribution on a 2D arbitrary domain using triangular elements.

9. Consider a 2D flow is being solved by MAC method. In MAC method, the velocities for the next time step are predicted explicitly from the momentum

Page 14: Thermal  (TE-411,412,413,414,511)

4

provisional calculation. Hence we get 1n

iju

instead of 1niju . Find out an expression

for correcting the u velocity in each cell. Also derive an expression for v-velocity correction. From these two expressions and the expressions for the predicted velocities, find an implicit equation for pressure correction. Show that this equation can be called a Poisson equation for pressure correction.

Page 15: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Year of the Examination:Programme: Exe.-MBA. IST Year IST SemesterSemester: IST Course Title: Analysis Of Thermal Power

CyclesCourse Code: TE–413 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:

The candidates, before starting to write the solutions, should please check the Question Paper forany discrepancy, and also ensure that they have been delivered the question paper of rightcourse no. and title.-------------------------------------------------------------------------------------------------------------------

Assignment No.1

(1) Explain the working of a steam power plant with the help of Rankine cycles.(2) A boiler delivers to a steam pipe dry steam at 12bar pressure. There is a separator and

steam trap at the engine end of the pipe, and the steam is suppliedto the engine,dry at 10bar,while for each kg of steam suppliedby the boiler 0.05 kg of water is drawn off at thetrap.This water is returned to the boiler at the temperature at which it leaves the pipe.Assuming that the steam is used as in the Rankine cycle and that the pressure of theexhaust is0.18 bar, find the percentage reduction of output per kg of coal caused by thepipe.

(3) Describe the Carnot cycle and explain why it cannot be realized in an actual engine.Sketch the Carnot cycle on P-V and T-S diagrams.

(4) Find the expression for air standard efficiency of an Otto cycle.(5) Show that the thermal efficiency of a hot air engine operating on Joule cycle is

η = 1- (1/r)γ-1

(6) A four cylinder petrol engine has a total swept volume of 2000cm3 and the clearancevolume of each cylinder is 60 cm3. If the pressure and temperature at the beginning ofcompression are 1.02 bar and 240C and the maximum cycle temperature is 14000C,calculate the air standard efficiency and mean effective pressure.

(7) The following data refers to an engine operating on the dual cycle; compressionratio=11.6, pressure and temperature at the beginning of the compression, 1bar and 320K,percentage increase in pressure during constant volume burning is 53 and percentagevolume increase during constant pressure burning is 38. If it is assumed that Cp = 1.09and Cv =0.795 and that compression and expansion curves are isentropic, find thetemperature of gas at the end of expansion and mean effective pressure of the cycle.

(8) In a gas turbine plant, operating on Brayton cycle, air is compressed from 1bar and 150Cthrough a pressure ratio of 6. It is then heated to 7270C in a combustion chamber andexpanded back to a pressure of 1 bar. Calculate the work done, cyclic efficiency and

Page 16: Thermal  (TE-411,412,413,414,511)

work ratio. Assume isentropic efficiencies of the turbine and compressor as 90 and 85percent respectively.

(9) A gas turbine is designed to operate under following conditions: maximum temperature=6500C, Inlet temperature and pressure = 150C and 1 bar, compressor pressure ratio = 5:1,Turbine isentropic efficiency= 86%, compressor isentropic efficiency =83%, Mechanicalefficiency of compressor and turbine =99%, efficiency of combustion =98%

Determine the improvements in plant thermal efficiency that would resultfrom the addition of heat exchanger of 65% effectiveness. Allow a pressure loss of 0.2bar in heat exchanger. For air Cp = 1.125. Assume that in heat exchanger the meanspecific heat of exhaust products and air is same.

(10) What is a refrigerant? Write desirable properties of a suitable refrigerant. Write thenames of at least 6 commercially used refrigerants and their properties.

(11) With the help of neat sketch describe the working of vapour absorption refrigerationcycle

(12) A cascade refrigeration system is designed for 100kW of refrigeration at -600Cevaporator temperature and 240C condenser temperature. The load at -600C is absorbedby a unit using R22 as refrigerant and rejected in a condenser at -200C. This condenseris cooled by a unit using R12 as refrigerant and operating between -300C evaporatingtemperature and 240C condensing temperature. The refrigerant leaving R12 condenseris subcooled to 200C but there is no subcooling of the R22 refrigerant. The gas leavingboth the evaporators is dry and saturated and compression is adiabatic. Neglect lossesand calculate the power required.

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Name:Roll No.Last Date of Submission: / /

Page 17: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Year of the Examination:Programme: Exe.-MBA. IST Year IST SemesterSemester: IST Course Title: Analysis Of Thermal Power

CyclesCourse Code: TE–413 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:

The candidates, before starting to write the solutions, should please check the Question Paper forany discrepancy, and also ensure that they have been delivered the question paper of rightcourse no. and title.-------------------------------------------------------------------------------------------------------------------

Assignment No.2

(1) What is the importance of work ratio in power cycles? Discuss with reference towork ratio the Carnot and Rankine cycles.

(2) A power generating plant uses steam as working fluid and and operates at a boilerpressure of 50bar, dry saturated and a condenser pressure of of 0.05 bar. Calculate forthese limits (a)the cycle efficiency and (b)the work ratio and specific steamconsumption for (i) Carnot cycle (ii) Rankine cycle.

For Rankine cycle take the pumping work also in account.(3) Find the expression for air standard efficiency of Diesel cycle.(4) Compare between Otto cycle and diesel cycle on the basis of various parameters.(5) Compare between open cycle gas turbine and closed cycle gas turbine(6) A four stroke, single cylinder oil engine, operating on diesel cycle and running at 480

rpm has a piston diameter of 25cm, a stroke of 40 cm and a clearance volume of 1560cc. Fuel oil is injected during the first 1/12th of the expansion stroke. If the pressureand temperature at the beginning of compression are 1 bar and 470C, find the idealindicated power and the thermal efficiency. Neglect the increase in mass of chargedue to oil injection.

(7) Estimate the loss in air standard efficiency for a diesel engine of compression ratio 15when the cut-off changes from 5 to 15% of the stroke.

(8) A diesel engine working on the dual combustion cycle has a stroke volume of 0.0084m3 and a compression ratio of 15 to 1. The fuel has a calorific value of 41800KJ/kg.At the end of suction the air is at 1bar and 900C. The maximum pressure in the cycleis 65bar and air fuel ratio is 21:1. Find for the ideal cycle(a) thermal efficiency (b) themean effective pressure, and (c) the fuel consumption per killo-watt-hour. Neglect thefuel mass in the constant volume part of the combustion. Assume air to be workingfluid.

(9) In a gas turbine plant, operating on Brayton cycle, air is compressed from 1barand 150C through a pressure ratio of 6. It is then heated to 7270C in a combustionchamber and expanded back to a pressure of 1 bar. Assume isentropic efficiencies ofthe turbine and compressor as 90 and 85 percent respectively. Calculate the thermalefficiency and work ratio obtainable when a heat exchanger is fitted. Assume athermal ratio of 0.75.

Page 18: Thermal  (TE-411,412,413,414,511)

(10) Explain the working of a Electrolux Refrigerator.(11) An ammonia vapour compession refrigeration plant operates

betweenanevaporator pressure of 1.907 bar and a condenser pressure of 15.57 bar.From the given data calculate the COP and the refrigeration effect produced for awork input of 1Kw for the following cycles;(a) the vapour has the dryness of 0.8642 at entry to the compressor.(b) the vapour is dry saturated at entry to the compressor(c) the vapour has 5K of superheat at entry to the compressor.In each case there is no undercooling in the condenser.At 1.907 bar: ts =200C; hfg =1328.6 KJ/kgAt 15.57 bar: ts =400C; hfg =1099.8KJ/kgThe specific heat of the liquid is 4.185 KJ/kg-K and that of superheated vapour is2.897KJ/kg-K at hi gh pressure and 2.282 KJ/kg-K at low pressure.

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Page 19: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Year of the Examination:Programme: M.Tech. 1ST Year 1ST SemesterSemester: IST Course Title: Solar EnergyCourse Code: TE-414 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:The candidates, before starting to write the solutions, should please check the Question Paper forany discrepancy, and also ensure that they have been delivered the question paper of rightcourse no. and title.

M.Tech 1st Semester (Thermal Engineering )

TE -414 Solar Energy

ASSIGNMENT-1

Q.1 What are various non conventional sources of energy? Discuss in detail the variousnon conventional sources of energy that are used in India. Also mention the percentageshare of these sources in total power produced in India.

Q.2 What is renewable energy? Describe in detail the various renewable energy sources withspecial emphasis on wind energy.

Q.3 Describe the various empirical equations for predicting the availability of solar radiation.

Q.4 Elaborate the effect of solar Radiation at the Earth surface.

Q.5 Describe the various radiation measuring instruments.

Q.6 Explain Pyranometer in detail. Also describe its applications.

Q.7 Explain with help of sketch, the working of a liquid flat plate collector. Also describe thematerials used for various parts of the collector.

Q.8 What is the efficiency of a flat plate collector? How can it be improved?

Q.9 Explain the overall heat loss coefficient of a flat plate collector. Also describe the variousheat losses that take place in a flat plate collector.

Q.10 Describe the various types of solar air heaters.

Q.11 What are the salient features of solar air heaters? Illustrate with neat diagram two passsolar air heater.

Page 20: Thermal  (TE-411,412,413,414,511)

Q.12 Explain with the help of a neat sketch the working of a overlapped Glass Plate solar airheater.

Q.13 Illustrate with neat diagram Honey comb air heater.

Reference Books:

1. Solar Thermal Engineering Process by Duffie and Beckman.2. Solar Energy by H.P. Garg & J Prakash3. Solar Energy by S.P. Sukhatme.4. Solar Energy by J.S. Hsieh.5. Solar Thermal Engineering by P.J. Lunde

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Name:

Roll No.

Last Date of Submission: / /

Page 21: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Year of the Examination:Programme: M.Tech. 1ST Year 1ST SemesterSemester: IST Course Title: Solar EnergyCourse Code: TE-414 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:The candidates, before starting to write the solutions, should please check the Question Paper forany discrepancy, and also ensure that they have been delivered the question paper of rightcourse no. and title.

M.Tech 1st Semester (Thermal Engineering )

TE -414 Solar Energy

ASSIGNMENT-2

Q.1 What are concentrating collectors? Discuss in detail the various types of concentratingcollectors.

Q.2 What are tubular solar energy collectors? What are their advantages? Describe indetail various tubular solar energy collectors.

Q.3 What are solar concentrators? What are their advantages? Classify and describe thevarious types of solar concentrators.

Q.4 Explain the working and performance of a cylindrical parabolic collector.

Q.5 Describe in detail the materials used for solar concentrators.

Q.6 Illustrate with neat diagram a solar pond. Also list its applications.

Q.7 Explain in detail a small capacity natural circulation solar water heating system.

Q.8 Why there is need of a thermal energy storage? What are the methods of thermal energystorages? Also describe the desirable characteristics of a thermal storage medium.

Q.9 What are the various methods used for solar energy storage? Explain sensible heatstorage in detail.

Q.10 Explain the thermal energy storage in Phase Change materials (PCM) in detail.

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Q.11 Define the following:Initial cost, Annual cost, Annual solar saving, Cumulative solar saving, Life cycle saving,Net present values, Return on Investment.

Q.12 What are the different approaches for comparing the relative costs of the solar andconventional systems? Explain in detail.

Reference Books:

1. Solar Thermal Engineering Process by Duffie and Beckman.2. Solar Energy by H.P. Garg & J Prakash3. Solar Energy by S.P. Sukhatme.4. Solar Energy by J.S. Hsieh.5. Solar Thermal Engineering by P.J. Lunde.

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Name:

Roll No.

Last Date of Submission: / /

Page 23: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Course Code: TE -511 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:

The candidates, before starting to write the solutions, should please check the Question Paper for anydiscrepancy, and also ensure that they have been delivered the question paper of right course no. andtitle.-------------------------------------------------------------------------------------------------------------------------------

ASSIGNMENT-1

Q 1. Define Materials Management. Explain different Materials Management at Micro-level &

macro level.

Q 2. Define forecasting. What are forecasting methods ?

Q3. Explain the significance of input & output on model of forecast.

Q4. What are the objectives of Materials Management?

Q 5. Explain material planning. Draw the figure showing relationship of material planning, production

programmes & sales forecast.

Q 6. Explain Materials cycle & flow control system.

Q7. Write definition of inventories. What is the need for inventory & its control?

Q8. How many types of inventories are there? Classify it.

Q9. How many types of inventory control techniques are there? Explain the two bin system in details.

Q10. The average monthly consumption of an item is 40 units, buffer stock is 20 units review time is

one month and lead time is 15 days. Using P- System calculate replenishment level in units.

(if L<R).

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Name:

Roll No.

Last Date of Submission: / /

Year of the Examination:Programme: M.Tech. 1ST Year 1ST Semester Semester: 1ST Course Title: Materials Management

Page 24: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Course Code: TE -511 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:

The candidates, before starting to write the solutions, should please check the Question Paper for anydiscrepancy, and also ensure that they have been delivered the question paper of right course no. andtitle.-------------------------------------------------------------------------------------------------------------------------------

ASSIGNMENT-2

Q 1. Derive Q= √2RP/H

Q 2. If annual demand of a gear is 24000 units, replenishment cost is Rs 20 and cost of holding a unitin stock per annum is Rs 0.0375 Find economic replenishment quantity.

Q 3. Explain ABC inventory classification in detail

Q 4. Explain the following analysis

(a) FSN analysis

(b) VED analysis

Q 5. Explain Material Planning System (MPS) or Material Requirement Planning (MRP)

Q 6. Explain the significance of Storage system.

Q 7. What do you mean by classification & codification? Name the commonly used codificationsystems.

Q 8. Explain Alphabetical system of codification in detail.

Q 9. Explainn numerical system of codification in detail.

Q 10. Explain decimal system of codification in detail.

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Name:

Roll No.

Last Date of Submission: / /

Year of the Examination:Programme: M.Tech. 1ST Year 1ST Semester Semester: 1ST Course Title: Materials Management

Page 25: Thermal  (TE-411,412,413,414,511)

MEWAR UNIVERSITY

Course Code: TE -511 Maximum Marks:Total No. of Questions: Total No. of Pages used:No. of Questions to be attempted: All Time Allowed:

The candidates, before starting to write the solutions, should please check the Question Paper for anydiscrepancy, and also ensure that they have been delivered the question paper of right course no. andtitle.-------------------------------------------------------------------------------------------------------------------------------

ASSIGNMENT-3

Q 1. Explain combined Alphabetical & Numerical system of codification in detail.

Q 2. Explain british system of codification in detail.

Q 3. Explain “Kodac System” of codification of materials.

Q 4. Define purchasing. What are the basic ingradients of purchasing? What are the basic priciples ofpurchasing?

Q 5. Draw the format of the following

a) Purchase requisition form (for stock items)

b) Purchase requisition form (for special materials)

c) Purchase order form (for non stock items)

Q 6. What are the legal aspects of purchasing?

Q 7. Draw the purchasing flow chart & Explain it.

Q 8. What is material accounting? Name the records which are kept in accounts department.

Q 9. Explain Bin Card in detail.

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Name:

Roll No.

Last Date of Submission: / /

Year of the Examination:Programme: M.Tech. 1ST Year 1ST Semester Semester: 1ST Course Title: Materials Management