Onsager-Casimir reciprocal relations based on the Boltzmann equation and gas-surface interaction: single gas.
The approach to the nonequilibrium thermodynamics based on the Boltzmann equation and gas-surface interaction law proposed in previous papers [F. Sharipov, Physica A 203, 457 (1994); 209, 457 (1994)] is generalized considering kinetic coefficients, which are neither odd nor even with respect to time reversal. It is proved that the reciprocity of the gas-gas and gas-surface interactions is a necessary and sufficient condition to derive the symmetry of the Onsager matrix. As an example of the generalized theory, the thermal slip coefficients are related to the heat flux vector appearing in the isothermal shear gas flow in a semi-infinite space, i.e., both viscous and thermal slip coefficients can be calculated simultaneously, solving a unique kinetic coefficient.
Sharipov
Felix
F
Departamento de Física, Universidade Federal do Paraná, Caixa Postal 19044, 81531-990 Curitiba, Brazil. sharipov@fisica.ufpr.br