Accession Number:

ADA012022

Title:

Variational Thermodynamics of Viscous Compressible Heat Conducting Fluids,

Descriptive Note:

Corporate Author:

BIOT (MAURICE A) BRUSSELS (BELGIUM)

Personal Author(s):

Report Date:

1975-05-01

Pagination or Media Count:

15.0

Abstract:

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.

Subject Categories:

  • Fluid Mechanics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE