295
Radiation Transfer through Gases
the total radiation heat transfer from gases to surfaces 1 and 2
(assume T g > T 1 > T 2 , and make other necessary assumptions).
a. Based on the analogy of electric resistance network, draw a
radiation heat transfer network from gases to surfaces 1 and 2.
b. Determine the total radiation from gases to surfaces 1 and 2.
The final solutions should be the function of given temperatures, surface area, and radiation properties.
14.12. Consider a hemispherical furnace. The hemispherical furnace wall
has surface area A 1 , emissivity ε 1 , at temperature T 1 , whereas the
furnace floor has surface area A 2 , emissivity ε 2 , at temperature
T 2 . If the furnace contains CO 2 +N 2 gases at 10 atm pressure and
temperature T g , determine the total radiation heat transfer from
gases to surfaces 1 and 2 (assume T g > T 2 > T 1 , and make other
necessary assumptions). Assume that the gas emissivity is ε g .
a. Based on the analogy of electric resistance network, draw a
radiation heat transfer network from gases to surfaces 1 and 2.
b. Determine the total radiation from gases to surfaces 1 and 2.
The final solutions should be the function of given temperatures, surface area, and radiation properties.
14.13. For a cylindrical furnace (top wall 1, bottom wall 2, side wall 3)
with hot gray gases, solve the following problems by using the
matrix method.
a. Given T 1 , T 2 , T 3 , T g , determine q 1 , q 2 , q 3 , q g .
b. Given q 1 , q 2 , q 3 , q g , determine T 1 , T 2 , T 3 , T g .
c. Given T 1 , T 2 , q 3 , T g , determine q 1 , q 2 , T 3 , q g .
d. Given q 1 , q 2 , T 3 , T g , determine T 1 , T 2 , q 3 , q g .
e. Given T 1 , T 2 , T 3 , q g , determine q 1 , q 2 , q 3 , T g .
14.14. For a cubic furnace (top wall 1, bottom wall 2, four side wall 3)
with hot gray gases, solve the following problems by using the
matrix method if the side wall is a reradiating surface.
a. Given T 1 , T 2 , T R , T g , determine q 1 , q 2 , q R , q g .
b. Given q 1 , q 2 , q R , q g , determine T 1 , T 2 , T R , T g .
c. Given T 1 , T 2 , q R , T g , determine q 1 , q 2 , T R , q g .
d. Given q 1 , q 2 , T R , T g , determine T 1 , T 2 , q R , q g .
e. Given T 1 , T 2 , T R , q g , determine q 1 , q 2 , q R , T g .
References
1. W. Rohsenow and H. Choi, Heat, Mass, and Momentum Transfer, Prentice-Hall, Inc.,
Englewood Cliffs, NJ, 1961.
2. A. Mills, Heat Transfer, Richard D. Irwin, Inc., Boston, MA, 1992.
3. F. Incropera and D. Dewitt, Fundamentals of Heat and Mass Transfer, Fifth Edition,
John Wiley & Sons, New York, NY, 2002.
4. R. Siegel and J. Howell, Thermal Radiation Heat Transfer, McGraw-Hill, New York,
NY, 1972.
5. H. Hottel and A. Sarofim, Radiative Transfer, McGraw- Hill, New York, NY, 1967.
6. J. Chen, Conduction and Radiation Heat Transfer, Class Notes, Lehigh University,
1973.
Radiation Transfer through Gases
the total radiation heat transfer from gases to surfaces 1 and 2
(assume T g > T 1 > T 2 , and make other necessary assumptions).
a. Based on the analogy of electric resistance network, draw a
radiation heat transfer network from gases to surfaces 1 and 2.
b. Determine the total radiation from gases to surfaces 1 and 2.
The final solutions should be the function of given temperatures, surface area, and radiation properties.
14.12. Consider a hemispherical furnace. The hemispherical furnace wall
has surface area A 1 , emissivity ε 1 , at temperature T 1 , whereas the
furnace floor has surface area A 2 , emissivity ε 2 , at temperature
T 2 . If the furnace contains CO 2 +N 2 gases at 10 atm pressure and
temperature T g , determine the total radiation heat transfer from
gases to surfaces 1 and 2 (assume T g > T 2 > T 1 , and make other
necessary assumptions). Assume that the gas emissivity is ε g .
a. Based on the analogy of electric resistance network, draw a
radiation heat transfer network from gases to surfaces 1 and 2.
b. Determine the total radiation from gases to surfaces 1 and 2.
The final solutions should be the function of given temperatures, surface area, and radiation properties.
14.13. For a cylindrical furnace (top wall 1, bottom wall 2, side wall 3)
with hot gray gases, solve the following problems by using the
matrix method.
a. Given T 1 , T 2 , T 3 , T g , determine q 1 , q 2 , q 3 , q g .
b. Given q 1 , q 2 , q 3 , q g , determine T 1 , T 2 , T 3 , T g .
c. Given T 1 , T 2 , q 3 , T g , determine q 1 , q 2 , T 3 , q g .
d. Given q 1 , q 2 , T 3 , T g , determine T 1 , T 2 , q 3 , q g .
e. Given T 1 , T 2 , T 3 , q g , determine q 1 , q 2 , q 3 , T g .
14.14. For a cubic furnace (top wall 1, bottom wall 2, four side wall 3)
with hot gray gases, solve the following problems by using the
matrix method if the side wall is a reradiating surface.
a. Given T 1 , T 2 , T R , T g , determine q 1 , q 2 , q R , q g .
b. Given q 1 , q 2 , q R , q g , determine T 1 , T 2 , T R , T g .
c. Given T 1 , T 2 , q R , T g , determine q 1 , q 2 , T R , q g .
d. Given q 1 , q 2 , T R , T g , determine T 1 , T 2 , q R , q g .
e. Given T 1 , T 2 , T R , q g , determine q 1 , q 2 , q R , T g .
References
1. W. Rohsenow and H. Choi, Heat, Mass, and Momentum Transfer, Prentice-Hall, Inc.,
Englewood Cliffs, NJ, 1961.
2. A. Mills, Heat Transfer, Richard D. Irwin, Inc., Boston, MA, 1992.
3. F. Incropera and D. Dewitt, Fundamentals of Heat and Mass Transfer, Fifth Edition,
John Wiley & Sons, New York, NY, 2002.
4. R. Siegel and J. Howell, Thermal Radiation Heat Transfer, McGraw-Hill, New York,
NY, 1972.
5. H. Hottel and A. Sarofim, Radiative Transfer, McGraw- Hill, New York, NY, 1967.
6. J. Chen, Conduction and Radiation Heat Transfer, Class Notes, Lehigh University,
1973.