2018
DOI: 10.4236/jamp.2018.67126
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A Phenomenological Gradient Approach to Generalized Constitutive Equations for Isotropic Fluids

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.

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“…It is convenient to note that the introduction of the additional variables (Γ, Ω) in the flow state definition, allows recovering some of the information lost during the spatial averaging of the flow vector components. This assumption gives a slight non-local character to this description [31].…”
Section: Study Databasementioning
confidence: 99%
“…It is convenient to note that the introduction of the additional variables (Γ, Ω) in the flow state definition, allows recovering some of the information lost during the spatial averaging of the flow vector components. This assumption gives a slight non-local character to this description [31].…”
Section: Study Databasementioning
confidence: 99%