TITLE:
A Phenomenological Gradient Approach to Generalized Constitutive Equations for Isotropic Fluids
AUTHORS:
Alejandro Salcido
KEYWORDS:
Non-Local Thermodynamics, Non-Newtonian Viscous Fluids, Generalized Constitutive Equations
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.6 No.7,
July
24,
2018
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.