Thermal expansion models of viscous fluids based on limits of free energy

DOI10.1063/1.1597874zbMath1186.76049OpenAlexW2063125631MaRDI QIDQ3554040

M. Gregory Forest, Qi Wang, Stephen E. Bechtel, Francis J. Rooney

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/96c3a8b883bba4d93033111a9fa91242508ca2ef

zbMATH Keywords

Navier-Stokes equationsconvectionfree energyspecific heatfilm flowthermal expansionstratified flowconfined flow

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (10)

On the Gibbs conditions of stable equilibrium, convexity and the second-order variations of thermodynamic potentials in nonlinear thermoelasticity ⋮ The Euler Equations of Spatial Gasdynamics and the Integrable Heisenberg Spin Equation ⋮ Instabilities and Taylor dispersion in isothermal binary thin fluid films ⋮ Multicomponent incompressible fluids—An asymptotic study ⋮ Incompressible limit for a fluid mixture ⋮ ON THE EQUATIONS GOVERNING THE FLOW OF MECHANICALLY INCOMPRESSIBLE, BUT THERMALLY EXPANSIBLE, VISCOUS FLUIDS ⋮ Investigation of simplified thermal expansion models for compressible Newtonian fluids applied to nonisothermal plane Couette and Poiseuille flows ⋮ The Oberbeck-Boussinesq approximation as a constitutive limit ⋮ A thermodynamic definition of pressure for incompressible viscous fluids ⋮ Gregory Internal constraint theories for the thermal expansion of viscous fluids.

Cites Work

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• Gregory Internal constraint theories for the thermal expansion of viscous fluids.
• Thermodynamics of a continuum with internal constraints
• Ill-Posedness in a Thermomechanically Consistent Constrained Theory for Materials With Prescribed Temperature-Dependent Density
• Quasi–incompressible Cahn–Hilliard fluids and topological transitions
• Thermomechanical Equations Governing a Material With Prescribed Temperature-Dependent Density With Application to Nonisothermal Plane Poiseuille Flow

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