Variational Thermodynamics of Viscous Compressible Heat Conducting Fluids,
BIOT (MAURICE A) BRUSSELS (BELGIUM)
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A new variational principle of virtual dissipation generalizing dAlemberts principle to nonlinear irreversible thermodynamics is applied to compressible heat conducting fluids with Newtonian and non-Newtonian viscosity. The principle is applied in the context of Eulerian formalism where the flow is described with reference to a fixed coordinate system. New concepts of entropy displacement and mass displacement are used as well as a new definition of the chemical potential which avoids the usual ambiguities of the classical thermodynamic approach. The variational principle is used to derive a novel form of field differential equations for the coupled fluid dynamics and convective heat transfer.
- Fluid Mechanics