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17

Heat Shee t6 Dr Solved Problm Ahmedawad

Dec 09, 2015

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Ahmed Awad

Sheet [6
Radiation Heat Transfer
The total incident radiant energy upon a body whlch partially reflects, absorbs and
transmits radiant energy is22O0W/m2. Of these amounts, 45OW/m2 is reflected and
900 W /mz is absorbed by the body. Find the.transmissivity of that body.
For a blackbody maintained at 390 K, determine the total emissive power, the
wavelength that which the maximum spectral emissive power occurs and the
maximum spectral emissrve power.
The emission of radiation from a surface can be approxrmated as a blackbody radiation
at T=L000 K.
a. What fraction of the total energy emitted is below A=5pm?
b. What is the wavelength below which the emission is 10.0BBBo/o of the total
emission at 1000 K?
c. What is the wavelength at which the maximum spectral emission occurs at
1000 k?
A glass plate 0.3 square is used to view radiation from a furnace. The transmissivity of
the glass is 0.5 from 0.2 pm to 3,5 prm. The emissivity may be assumed to be 0.3 up to
3.5pm and 0.9 above that. The transmissivity of the glass is zero, except in the range
from 0.2 FIn to ',1.5 pm.Assume thatthe furnace is a blackbodyat20000C, calculate
the energy absorbed in the glass and the energy transmitted through it.
Consider a large isothermal enclosure that is maintained at a uniform temperature of
2000 K. Calculate the emissive power of the radiation that emerges from a small
aperture on the enclosure surface,
a. What is the wavelength Ar helor.t, r,,,rhich lUoh of the emission is concentrated?
b. What is the wavelength ),: above v"'iich 70oh of the emission is concentrated?
c. Determine the maximum spe i--lral i missive power and the wavelength of which
it occurs?
d. What is the irradiation incident on a small object placed inside the enclosure?
Enclosur.e s1 f=fO00 K

A small surface of A=5cm2 is subjected to irradiation of constant intensity
I=1.8x104[W/m2.Sr) over the solid angie subtended by 0the radiation energy incident on the surface.
Determine the solid angels subtended by the surface dAr and dAz, when they are
viewed from the point 0 for the dimensions and geometric arrangement in the
accompanying figure.
dAz=10cm2
rz=B0cm
dAr=4cm
B. A smali surface of area Ar=3cmz emits radiation as a blackbody at temperature of
Td000 K. Part of the radiation emitted byAr strikes another small surface of area
Az=lcm?, oriented as shown in the accompany figure. Determine the solid angle
subtended by Az when viewed from Ar and the rate at which radiation emitted by Ar
that strikes Az.
9. Two small surfaces
as illustrated in the
dA1=Sgmz and dAz=12cm2 are separated
figure. Caiculate the view factors between
by r=60cm and oriented
the surf,aces.
dAz
0r=450
rr=50cm
0z=450
r=75cm
Ar=3cm2, Tr=1000 k
dAr
r=60cm
i"
10. Determine the following view factors for the geometries shown in the accompanying
_ figures,
a. From the bas&f the cube to each of its surfaces.
b. From the base of circular cylinder of radius r and the height L to its top surface and
the cylindrical surface for case r=L.
c. Between the surfaces of two concentric spheres with Ar and Az being the surface of
the inner and the outer sphere.
tdl tD.J [c)
11' The energy flux associated with solar radiation incident on the outer surface of the
'darth's atmosphere has been accurately measured and known to be 13 53 W/mz. The
diameter of the sun and the earth are 1.39x10e and 1.29xI07 m, respectiveiy, and the
center distance between the earth and the sun is 1.5x1011 m,
a. What is the emissive powe.r of the sun?
b. Approximating the sun's surface as a blackbody, what is its temperature? c. At what wavelength is the spectral emissive power of the sun a maximum? d' Assuming the earth's surface to be black and the sun to may be only source of
energy for the earth, estimale the earth's temperature.
12.Two square plates, each 1m by 1m are parallel and directly opposite to each other at a
distance 1m, the hot plate
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Transcript
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