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On the modelling of momentum and energy transfer in incompressible mixtures

Authors
Journal
International Journal of Non-Linear Mechanics
0020-7462
Publisher
Elsevier
Publication Date
Volume
30
Issue
4
Identifiers
DOI: 10.1016/0020-7462(95)00016-h
Disciplines
  • Physics

Abstract

Abstract Although many papers concerning the continuum theory of mixtures have been produced in the last years, the adequate form for the first and second laws of thermodynamics is still a controversial subject. In this paper, the basic principles that govern the evolution of a continuous mixture are postulated and used to develop a systematic procedure to obtain thermodynamically admissible objective constitutive equations. The prescription of five thermodynamic potentials is sufficient to define a complete set of constitutive relations. Two examples concerning the thermal analysis of a binary mixture of rigid solids and fluid flow in a porous channel bounded by two isothermal impermeable plates are presented. They illustrate the possibilities of effective practical use of the proposed theory.

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