Evaporation from a surface and vapor flow through a plane channel into a vacuum
Tóm tắt
Two-dimensional steady rarefied-gas channel flow between two parallel walls, from an evaporating face to a perfectly absorbing plane end face, is studied. The vapor is considered to be a monatomic gas. The corresponding problem for the kinetic equation with collision integral in BGK form is formulated and solved numerically by two different finite-difference methods. Attention is focused on the calculation of the total gas flow rate through the channel cross-section. The structure of the gas channel flow as a function of the flow rarefaction, the channel length, and the ratio of the evaporation temperature to the wall temperature is studied.
Tài liệu tham khảo
M. N. Koran,Rarefied Gas Dynamics [in Russian], Nauka, Moscow (1967).
C. Cercignani,Theory and Application of the Boltzmann Equations, Scottish Academic Press, Edinburgh and London (1975).
P. Raghuraman and D. R. Willis, “Kinetic theory analysis of rarefied gas flow through finite length slots,”Phys. Fluid, No. 6, 895 (1977).
C. Cercignani and I. Neudachin, “Rarefied gas flow through long slots,”ZAMP,30, 943 (1979).
V. D. Akin'shin, A. M. Makarov, V. D. Seleznev, and F. M. Sharipov, “Rarefied gas flow in a plane channel of finite length over a wide range of Knudsen numbers,”Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 105 (1988).
V. D. Akin'shin, A. M. Makarov, V. D. Seleznev, and F. M. Sharipov, “Rarefied gas motion in a short plane channel over the entire range of Knudsen numbers,”Zh. Prikl. Mekh. Tekh. Fiz., No. 5, 48 (1989).
Y. Watanabe and K. Nanbu, “Evaporation from a furnace into a vacuum,” in: V. Boffi and C. Cercignani (Eds.),Proc. XVth Intern. Sympos. on Rarefied Gas Dynam., Vol. 2, B. G. Teubner, Stuttgart (1986), p. 261.
E. M. Shakhov, “Transverse rarefied gas flow past a plate,”Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 107 (1972).
M. I. Gradoboev and V. A. Rykov, “Conservative method of numerical solution of the kinetic equation for small Knudsen numbers,”Zh. Vychisl. Mat. Mat. Fiz.,34, 246 (1994).
A. M. Bishaev and V. A. Rykov, “Monatomic gas recondensation for small Knudsen numbers,”Zh. Vychisl. Mat. Mat. Fiz.,18, 709 (1978).