Computations of Evolutions for Isothermal Viscous and Viscoelastic Flows in Open Domains

Autor:	J. N. Reddy, Yongting Ma, Albert Romkes, Karan S. Surana
Rok vydání:	2012
Předmět:	Physics::Fluid Dynamics Strain rate tensor Momentum Stress (mechanics) Computational Mathematics Cauchy stress tensor Constitutive equation Mathematical analysis Computational Mechanics Newtonian fluid Viscous stress tensor Viscoelasticity Mathematics
Zdroj:	International Journal for Computational Methods in Engineering Science and Mechanics. 13:408-429
ISSN:	1550-2295 1550-2287
DOI:	10.1080/15502287.2012.705083
Popis:	This paper presents numerical computations of evolutions described by the initial value problems (IVPs) in isothermal incompressible viscous and viscoelastic flows in open domains using a space-time finite element model in hpk framework with space-time variationally consistent (STVC) integral forms. The mathematical models for viscous and viscoelastic liquids include the continuity and momentum equations in terms of the total stress tensor and the velocity vector. The second law of thermodynamics, namely the Clausius-Duhem in-equality, forms the basis for the constitutive equations for all matters including the ones considered here. For the liquids considered here, it becomes necessary to decompose the total stress tensor into equilibrium stress tensor and the deviatoric stress tensor. Determination of equilibrium stress using the Clausius-Duhem inequality with incompressibility constraint yields mechanical pressure as a function of temperature in the case of thermofluids otherwise constant but a function...
Databáze:	OpenAIRE
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