Journal of Applied Mathematics and Physics

Volume 6, Issue 7 (July 2018)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 0.61  Citations  

A Phenomenological Gradient Approach to Generalized Constitutive Equations for Isotropic Fluids

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DOI: 10.4236/jamp.2018.67126    482 Downloads   906 Views   Citations
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ABSTRACT

An extension of the linear irreversible thermodynamics is proposed through the inclusion of the first gradients of velocity and of the classical local state parameters as additional independent variables in the fundamental energy state equation of a fluid system. We show that consistency of this hypothesis with the energy balance equation leads to generalized nonlinear constitutive equations, which we discuss in terms of an isotropic non-Newtonian viscous fluid.

Cite this paper

Salcido, A. (2018) A Phenomenological Gradient Approach to Generalized Constitutive Equations for Isotropic Fluids. Journal of Applied Mathematics and Physics, 6, 1494-1506. doi: 10.4236/jamp.2018.67126.

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