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Title: Perspectives on using implicit type constitutive relations in the modelling of the behaviour of non-Newtonian fluids

We discuss the benefits of using the so-called implicit type constitutive relations introduced by K. R. Rajagopal, J. Fluid Mech. 550, 243-249 (2006) and K. R. Rajagopal, Appl. Math. 48, 279-319 (2003) in the description of the behaviour of non-Newtonian fluids. In particular, we focus on the benefits of using the implicit type constitutive relations in the mathematical modelling of fluids in which the shear stress/shear rate dependence is given by an S-shaped curve, and in modelling of fluids that exhibit nonzero normal stress differences. We also discuss a thermodynamical framework that allows one to cope with the implicit type constitutive relations.
Authors:
;  [1]
  1. Faculty of Mathematics and Physics, Charles University in Prague, Sokolovská 83, Praha 8 – Karlín, CZ 186 75 (Czech Republic)
Publication Date:
OSTI Identifier:
22391779
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1662; Journal Issue: 1; Conference: International Conference on Novel Trends in Rheology VI, Zlin (Czech Republic), 28-29 Jul 2015; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; FLUID MECHANICS; FLUIDS; PHASE DIAGRAMS; SHEAR; STRESSES; THERMODYNAMICS