On the simplifications of mathematical model for nongrey gas radiation heat transfer

A number of significant simplifications have been introduced in the studies of thermal radiative heat transfer within nongrey gases. These simplifying approximations have drastically reduced the computational time and load without undue sacrifice of accuracy. The approximations are especially useful in solving the energy equation for the temperature distribution within a nongrey medium. The concept of wide band approximation is used along with a wide band scaling method and fast analytical models for total band absorption to determine the total radiative flux and temperature distributions within emitting and absorbing molecular gases. The paper describes the main advantages of the simplified models and methods which lead to a quick computational technique. Further simplifications which appear feasible are proposed. An overall error resulting from the use of the simplified approximations and the computational speed are estimated.