A second-order slip/jump boundary condition modified by nonlinear Rayleigh–Onsager dissipation factor

A newly heuristic form of second-order slip/jump boundary conditions (BCs) for the Navier–Stokes–Fourier (NSF) equations is proposed from viewpoint generalized hydrodynamic (GHE) to extend capability NSF moderately rarefied gas flows. The nonlinear Rayleigh–Onsager dissipation function appearing in GHE, which contains useful information about nonequilibrium flow fields interest, introduced into BCs named simplified (SGH) as a correction parameter. Compared with classical Maxwell/Smoluchowski (MS) BCs, SGH may be more sensitive capture flows adaptively and produce physically consistent solutions near wall. Subsequently, are implemented planar micro-Couette over wide range Knudsen numbers. results indicate that make impressive improvements against MS diatomic monatomic gases at slip region early transition regime, particularly terms capturing precisely temperature normal heat flux profiles jump on More importantly, conducted less computational cost still can obtain well-pleased comparable non-Newton–Fourier equations, such several Burnett-type regularized 13-moment even perform better than these models wall compared direct simulation Monte Carlo data Couette some extent.