Slip and jump coefficients for general gas–surface interactions according to the moment method

We develop a moment method based on the Hermite series of arbitrary order to calculate viscous-slip, thermal-slip, and temperature-jump coefficients for general gas-surface scattering kernels. Under some usual assumptions kernels, solvability is obtained by showing positive definiteness symmetric coefficient matrix in boundary conditions. For gas flows with Cercignani–Lampis gas–surface interaction inverse-power-law intermolecular potentials, model can capture slip jump accurately elegant analytic expressions. On one hand, proposed apply cases moments increasing accuracy. other explicit formulas low-order situations are simpler more accurate than existing results references. Therefore, may these conditions improve accuracy macroscopic fluid dynamic models flows.