Theoretical derivation of slip boundary conditions for single-species gas and binary gas mixture

Zhang, Jun; Luan, Peng; Deng, Junchao; Tian, Peng; Liang, Tengfei

doi:10.1103/physreve.104.055103

Cited by 13 publications

(3 citation statements)

References 49 publications

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“…The formula (42) is similar as the expressions in Ref. [39,50]. It shows that ζ 2 would increase when α n and α t decrease.…”

Section: Explicit Expressionssupporting

confidence: 71%

“…The formula (36) is independent of the intermolecular potential and the accommodation coefficient α n , agreeing with the literature. [29,50] Compared with Tab.1, (36)…”

Section: Explicit Expressionsmentioning

confidence: 99%

“…In Ref. [50], the correction (37) for the CL case is heuristically given without rigorous derivation. Here, from Tab.4, we may approximately let c i = 1, d 1 = 0 and…”

Section: Explicit Expressionsmentioning

confidence: 99%

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Slip and Jump Coefficients for General Gas-Surface Interactions According to the Moment Method

Li¹,

Yang²

2023

Preprint

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

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“…The formula (42) is similar as the expressions in Ref. [39,50]. It shows that ζ 2 would increase when α n and α t decrease.…”

Section: Explicit Expressionssupporting

confidence: 71%

“…The formula (36) is independent of the intermolecular potential and the accommodation coefficient α n , agreeing with the literature. [29,50] Compared with Tab.1, (36)…”

Section: Explicit Expressionsmentioning

confidence: 99%