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G-type shells in shell-and-tube heat exchangers: Gaddis, E S, Galerkin method, for heat conduction finite-element calculations, Galileo number, Gas-liquid flows: Gas-liquid-solid interfaces, fouling at, Gas-solid interfaces, fouling at, Gas tungsten arc welding, Gaseous fuels, properties of, Gases: Gaskets: Gauss-Seidel method, for solution of implicit equations, Geometric optics models for radiative heat transfer from surfaces, geothermal brines, fouling of heat exchangers by, Germany, Federal Republic of, mechanical design of heat exchangers in: Gersten, K, Girth flanges, in shell-and-tube heat exchangers, Glass production, furnaces and kilns for, Glycerol (glycerine): Gn (heat generation number), Gnielinski, V Gnielinski correlation, for heat transfer in tube banks, Gomez-Thodas method, for vapour pressure, Goodness factor, as a basis for comparison of plate fin heat exchanger surfaces, Goody narrow band model for gas radiation properties, Gorenflo correlation, for nucleate boiling, Gowenlock, R, Graetz number: Granular products, moving, heat transfer to, Graphite, density of, Grashof number Gravitational acceleration, effect in pool boiling, Gravity conveyor: Gregorig effect in enhancement of condensation, Grid baffles: Grid selection, for finite difference method, Griffin, J M, Groeneveld correlation for postdryout heat transfer, Groeneveld and Delorme correlation for postdryout heat transfer, Gross plastic deformation Group contribution parameters tables, Guerrieri and Talty correlations for forced convective heat transfer in two-phase flow, Gungor and Winterton correlation, for forced convective boiling, Gylys, J,
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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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