The generalized moment method for transport phenomena in dense fluids

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Abstract
Based on the kinetic equation reported previously, the generalized moment method is presented for dense fluids in this paper. The equations of change are presented for stress tensor and heat flux in nonuniform dense fluids and by solving them up to second order by a perturbation method, constitutive relations and various linear and nonlinear transport coefficients are obtained. Comparison of the transport coefficients with the counterparts in the generalized Chapman–Enskog (GCE) method shows that two results agree with each other if the first Chapman–Enskog approximants are used for the GCE results and some potential energy contributions are neglected in the molecular expressions for fluxes. Discussions are given regarding the constitutive relation for the Stokes fluids and the non‐Newtonian behavior of real fluids.