Engineering Transactions, 34, 1-2, pp. 197-208, 1986

Slow Nonisothermic Gas Flow in a Plane Channel with Porous Walls

S. May
Institute of Fundamental Technological Research, Warszawa
Poland

A slow flow of viscous and heat conducting gas in a piane channel with pornus walls maintained at different temperatures is considered. The flow is generated by a uniform motion of a wall, and by uniform injection of gas at one wali and uniform removal at the other. The flow equations are simplified by neglecting compressibility of gas but not thermal expansion. In the general case, a solution is found in an integral form but for the special case of viscosity and heat conductivity coefficients proportional to a power of temperature, the closed form of solution is found. For large Pedet numbers corresponding to transversal gas motion, a large gradient layer appears at the wall where the gas is removed.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

H. SCHLICHTING, Einige Exakte Losungen fur die Temperaturverteilung in Einer Laminaren Stromung, ZAMM, 31, 3, 78-83, 1951.

H. M. GROFF, On viscous heating, J. Aero. Sci., 23, 4, 395-396, 1956.

C. R. ILLINGWORTH, Some solutions of the equations of flow of a viscous compressible fluid, Cambridge Phil. Soc. Proc., 46, 3, 469-478, 1950.

И. Е. Т АРАПОВ, Решение задачи о движении вязкого газа между двумя движущимися параллельными пластинами с теплоотдачей, Прикл. Мат. и Мех., 19, 3, 325-330, 1955.

A. J. A. MORGAN, On the Couette flow of a compressible, viscous, heat conducting,-perfect gas, J. Aero. Sci., 24, 4, 315-316, 1957.

E. R. G. ECKERT, Heat and mass transfer, New York 1959.

J. L. BANSAL, N. C. JAIN, On the plain Couette flow of a viscous compressible fluid with transpiration cooling, Proc. Ind. Acad. Sci., 80, A, I, 1-16, 1974.

H. BATEMAN, A. ERDELYI, Higher transcendental functions, 1, New York 1953.

И. С. ГРАДШТЕЙН, И. М. Рыжик, Таблицы иптегралов, сумм, рядов и произведении, Москва 1962.

А. П. ПРУДНИКОВ, Ю. А. БРЫЧКОВ, О. И. МАРИЧЕВ, Интегралы и ряды. Элементарные функции, Москва 1981.