Four infinite, parallel, black, opaque plates transfer heat by radiation as shown in figure 1.19. Find T2 and T3 [T2= 75.53°C]

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter8: Natural Convection
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Four infinite, parallel, black, opaque plates transfer heat by radiation as shown in figure 1.19. Find T2 and T3 [T2= 75.53°C]. This is a heat transfer problem from the textbook A Heat Transfer Textbook fifth edition

Figure 1.18 Configuration for
Problem 1.14
Figure 1.19 Configuration for
Problem 1.15
100°C
100°C
1
2
3
4
-0°C
Problems
0°C
q
maintained at 20°C.
a. Write a differential equatio
assuming the lumped the
b. Divide the radiation he
find a "radiation heat
dimensionless group,
indicates whether the
c. Show that the lumpe
d. Integrate your differ
response for the sp
1.18 A small instrumentation
It can be approximated
eter. The sphere is in
hydrogen component
If we approximate ou
mentation package
lumped-capacity me
for Problem 1.17.
1.16 Two large, black, horizontal plates are spaced a distance li
one another. The top one is warm at a controllable tempera
Th, and the bottom one is cool at a specified temperature,
gas separates them. The gas is at rest because it is warm
dense) toward the top and cold (more dense) toward the bott
Let Th/Tc, and write an equation for the ratio of radia
to conduction heat flux through between the plates, qrad/
fn (N, O), where N is a dimensionless group containing σ, kL1
Tc, which you will identify.
a. Plot N as a function of
T= 200°C
1.19 Consider
Calculate
Transcribed Image Text:Figure 1.18 Configuration for Problem 1.14 Figure 1.19 Configuration for Problem 1.15 100°C 100°C 1 2 3 4 -0°C Problems 0°C q maintained at 20°C. a. Write a differential equatio assuming the lumped the b. Divide the radiation he find a "radiation heat dimensionless group, indicates whether the c. Show that the lumpe d. Integrate your differ response for the sp 1.18 A small instrumentation It can be approximated eter. The sphere is in hydrogen component If we approximate ou mentation package lumped-capacity me for Problem 1.17. 1.16 Two large, black, horizontal plates are spaced a distance li one another. The top one is warm at a controllable tempera Th, and the bottom one is cool at a specified temperature, gas separates them. The gas is at rest because it is warm dense) toward the top and cold (more dense) toward the bott Let Th/Tc, and write an equation for the ratio of radia to conduction heat flux through between the plates, qrad/ fn (N, O), where N is a dimensionless group containing σ, kL1 Tc, which you will identify. a. Plot N as a function of T= 200°C 1.19 Consider Calculate
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