RADIANT HEAT FLUX DISTRIBUTION IN A CYLINDRICALLY-SYMMETRIC NONISOTHERMAL GAS WITH TEMPERATURE-DEPENDENT ABSORPTION COEFFICIENT

Equations are presented for the spectral radiant heat flux distribution in an absorbing and emitting gas of prescribed temperature distribution contained in a long cylinder whose internal surface is black. The temperature of the gas is taken to vary in the radial direction only, while the absorption coefficient of the gas is taken to vary with temperature as well as frequency of radiation. Equations are also presented for the radiant heat flux distribution in a gray gas in which the absorption coefficient is a function of temperature only. The equations, which are derived from the general equation of radiative transfer, are presented in terms of integral functions peculiar to the cylindrical geometry. Radiant heat flux distributions are calculated for several absorption coefficient and temperature distributions with the gray-gas model. The effects of absorption coefficient and temperature profiles on the heat flux distribution in a cylindrical medium are compared with equivalent effects in a plane parallel medium. The effects of absorption coefficient and temperature profiles on the heat flux distribution in the annular region between two concentric cylinders are also examined for cases in which the inner cylinder is a core of very opaque gas. © 1968, Pergamon Press. All rights reserved.