Thermal Radiation with Conduction and Convection

The author accomplished the mathematical analyses on the case of which hot gas flows through inside of a pipe with multiple concentric layers, and thermal radiation, heat conduction and forced convection coexist at the inside and outside of the pipe at the same time. It is possible to linearize the nonlinear boundary conditions by means of Legendre's polynomials on the whole interval. The simultaneous Integrodifferential equations and the simultaneous Volterra's integral equations are reduced to the simultaneous algebraic equations. The finite Hankel Transforms are practised over the paper with emphasis.