Second-Order Kinetic Theory of Stress for a Dense Gas of Rigid Spheres

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Abstract
The Enskog dense gas theory is generalized to arbitrary order in gradients of macroscopic field variables. A constitutive relation for the pressure tensor involving products of velocity gradients is presented in an irreducible tensor formulation. The second-order transport coefficients are evaluated for smooth rigid spheres, and the theory is applied to certain viscometric flows. Expressions are derived for normal stress effects.

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