2013/11/01 by Henning Struchtrup · 1 citation
Engineering · Mathematics · #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Lattice Boltzmann Simulation Studies
paper · doi:10.1063/1.4829907
openalex publication_date 2013/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/27
A modification of Maxwell's boundary condition for the Boltzmann equation is developed that allows to incorporate velocity dependent accommodation coefficients into the microscopic description. As a first example, it is suggested to consider the wall-particle interaction as a thermally activated process with three parameters. A simplified averaging procedure leads to jump and slip boundary conditions for hydrodynamics. Coefficients for velocity slip, temperature jump, and thermal transpiration flow are identified and compared with those resulting from the original Maxwell model and the Cercignani-Lampis model. An extension of the model leads to temperature dependent slip and jump coefficients.