Variational derivation of thermal slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules and Cercignani–Lampis boundary conditions …

NN Nguyen, I Graur, P Perrier, S Lorenzani - Physics of Fluids, 2020 - pubs.aip.org
In the present paper, a variational method is applied to solve the Boltzmann equation based
on the true linearized collision operator for hard-sphere molecules and the Cercignani–
Lampis boundary conditions. This technique allows us to obtain an explicit relation between
the first-and second-order thermal slip coefficients and the tangential momentum and normal
energy accommodation coefficients, defined in the frame of the Cercignani–Lampis
scattering kernel. Comparing the theoretical results with the experimental data from the work …
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