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
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.