On the thermodynamics of fluids defined by implicit constitutive relations
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In this paper, we develop a thermodynamically consistent theory for describing the response of nonlinear viscous fluids whose constitutive equations are of the form f (T, D) = 0. We show that such constitutive equations which include classical constitutive equations wherein the stress is expressed explicitly in terms of the kinematical quantities, provide a rich class of physically meaningful fluid response functions which allows us to describe a wider range of material behavior, including that of a general class of incompressible fluids, incompressible fluids with pressure dependent viscosity, and Bingham (or pseudoplastic) materials. 2008 Birkhaeuser.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
author list (cited authors)
Rajagopal, K. R., & Srinivasa, A. R.
complete list of authors
Rajagopal, KR||Srinivasa, AR