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Heat Transfer
Thermal Radiation Heat Transfer
135 SOLVED PROBLEMS
Question: 10.7
What fraction of incident solar radiation is absorbed by a thick layer of CO2 at 10 atm and 830 K? Use the approximate absorption bands of Example 10.5. ...
Verified Answer:
The effective radiating temperature of the sun is ...
Question: 7.11
The fin temperature distribution in the array of fins in Figure 7.9 is considered in Example 7.5 and is governed by the dimensionless energy equation (Equation 7.11b) ...
Verified Answer:
To proceed with the solution of Equation 7.37, the...
Question: 5.17
Figure 5.14 is a two-dimensional rectangular enclosure that is long in the direction normal to the cross section shown. ...
Verified Answer:
The configuration factors are obtained by the cros...
Question: 6.5
Two parallel isothermal plates of infinite length and finite width L are arranged as shown in Figure 6.8a. The upper plate is black, while the lower is a highly reflective gray material with parallel deep grooves of open angle 1° in its surface extending along ...
Verified Answer:
In Howell and Perlmutter (1963), the directional e...
Question: 10.5
Parallel plane nongray walls are D = 2.5 cm apart and are at uniform temperatures T1 = 1100 K and T2 = 550 K. Pure CO2 gas at 10-atm pressure and Tg = 550 K is between the walls. The ...
Verified Answer:
In Example 10.3 the spectral exchange was found fo...
Question: 6.13
A cylindrical cavity open at one end has a specularly reflecting cylindrical wall and base (Figure 6.28a). Determine the fraction of radiation from ring element dX1 that reaches dX by means of one reflection from the base with reflectivity ρs,1 and one reflection from the cylindrical wall with ...
Verified Answer:
As shown in Figure 6.28b, for this geometry the re...
Question: 5.16
The second half of Example 5.14 is now calculated by using Equation 5.35. A1 and A2 have specified T, while A4 and A5 have specified q. Then Equation 5.35 yields ...
Verified Answer:
J_1-(1-\epsilon _1)[F_{1-2}J_2+F_{1-4}J_4+F...
Question: 13.4
A plane layer of radiating and isotropically scattering medium with constant thermal conductivity k, constant radiative properties, optical thickness τD, and albedo ω is between infinite parallel ...
Verified Answer:
With conduction, radiation, and internal heat gene...
Question: 13.3
Using the P1 approximation, derive relations for the temperature distribution and energy transfer between parallel plane walls at Tw1 and Tw2 for the limit of radiative equilibrium without internal heat sources. Each wall has the same diffuse-gray emissivity ϵw, ...
Verified Answer:
Because the geometry requires the radiative energy...
Question: 17.2
A volume element dV is located inside glass at x = 3 cm from an optically smooth planar interface in air, as in Figure 17.20. A diffuse-gray radiation flux qi = 40 W/cm2 in the air is incident on the glass surface. ...
Verified Answer:
Since the incident energy is diffuse and unpolariz...
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