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Nonisothermal Gas Radiation

DOI 10.1615/hedhme.a.000210

2.9 HEAT TRANSFER BY RADIATION
2.9.7 Nonisothermal gas radiation

A. Solution of the equation of transfer

Recall that Equation 208.6 for the change of intensity along slant path increment ds,

\[\label{eq1} \dfrac{dI}{ds}=-k_aI+k_aI_b\qquad(k_s=0) \tag{1}\]

had a solution for the homogeneous isothermal gas given by Equation 209.3,

\[\label{eq2} I=I_0e^{-k_as}+I_b(T_g)(1-e^{-k_as})\qquad(I_b=\mbox{const}) \tag{2}\]

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