EVAPORATION FROM OR CONDENSATION ONTO A SPHERE - NUMERICAL-ANALYSIS OF THE BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES

Citation
S. Takata et al., EVAPORATION FROM OR CONDENSATION ONTO A SPHERE - NUMERICAL-ANALYSIS OF THE BOLTZMANN-EQUATION FOR HARD-SPHERE MOLECULES, Computers & mathematics with applications, 35(1-2), 1998, pp. 193-214
Citations number
57
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
35
Issue
1-2
Year of publication
1998
Pages
193 - 214
Database
ISI
SICI code
0898-1221(1998)35:1-2<193:EFOCOA>2.0.ZU;2-D
Abstract
A steady weak evaporation from or condensation onto a spherical conden sed phase in its vapor gas is investigated, mainly numerically, on the basis of the Boltzmann equation for hard-sphere molecules. The numeri cal method is the combination of the hybrid-difference-scheme method, which can describe the discontinuity of the velocity distribution func tion in the gas: and the numerical kernel method [1]. The velocity dis tribution function, macroscopic variables (pressure, temperature, flow velocity, heat flow), as well as mass and heat fluxes from the sphere into the gas, are obtained for the whole range of the Knudsen number. In addition, the solution of the heat transfer problem of a nonvolati le sphere in a rarefied gas is obtained as a special case of the prese nt problem. The problem is also discussed from the standpoint oi noneq uilibrium thermodynamics.