Densitygradient dependence in the thermodynamics of fluids
Abstract
A generalized thermodynamics of fluids is presented in which the density S and flux F of entropy are allowed to depend on the gradient of the mass density. Equilibrium and nonequilibrium are treated successively. The general forms of S and F are obtained to first order in the departure from equilibrium. It is shown that the nonconvective part of F cannot simply be the heat flux divided by the temperature. The simplest consistent form for the constitutive equations is obtained. The junction conditions at an interface with another material are also derived.
 Publication:

Journal de Mecanique Theorique et Appliquee
 Pub Date:
 1984
 Bibcode:
 1984JMecT...3..635D
 Keywords:

 Density Distribution;
 Entropy;
 Fluid Dynamics;
 Thermodynamics;
 Equilibrium Equations;
 Flow Equations;
 Nonequilibrium Thermodynamics;
 Fluid Mechanics and Heat Transfer