Temperature and pressure jump coefficients at a liquid-vapor interface

TL;DR

This paper calculates temperature and pressure jump coefficients at a liquid-vapor interface using the Shakhov kinetic model, highlighting their dependence on evaporation/condensation and comparing kinetic theory with continuum approaches.

Contribution

It provides new numerical data and analysis of jump coefficients based on the Shakhov model, extending understanding of interfacial phenomena in kinetic theory.

Findings

Jump coefficients depend on evaporation/condensation rates

Profiles of vapor temperature and pressure deviations are presented

Results show jump coefficients are insensitive to collision laws

Abstract

The temperature and pressure jump coefficients at a liquid-vapor interface are calculated from the solution of the Shakhov kinetic model for the linearized Boltzmann equation. Complete and partial evaporation/condensation at the vapor-liquid interface are assumed as the boundary condition. The discrete velocity method is used to solve the problem numerically. The jump coefficients are tabulated as functions of the evaporation/condensation coefficient. The profiles of the vapor temperature and pressure deviations from that values at the interface corresponding to the liquid temperature and saturation pressure are plotted and the solutions obtained from kinetic theory and continuum approach are shown to underline the effect of jumps at the interface. The obtained results have been compared to those given by other authors, who applied the linearized Boltzmann equation as well as the model proposed by Bhatangar, Gross and Krook to it, and it was found that the pressure and temperature jump coefficients are relatively insensitive to the collision laws.