Construction of a variational equation for description of transport processes

Document Type

Conference Proceeding

Publication Date

12-1-1992

Abstract

This paper is concerned with the development of a routine procedure for constructing of a variational equation, describing the processes of heat and mass transfer. It is assumed that the system in question is described by intensive variables and thermodynamic fluxes. Constitutive equations relating fluxes and variables are given and fluxes are functions of time or space derivative of variables, but do not depend on these variables. The analysis is limited to systems with fixed boundary variables. A procedure for constructing the Lagrangian for the above conditions is suggested. This procedure involves simple operations which enable us to construct a function of intensive variables, which being substituted into the Euler-Lagrange equation generates the balance and constitutive equations for the system in question. The examples illustrating the use of the proposed procedure are given. It is shown that for linear relationships between the fluxes and variables the constructed variational equation describes heat and mass transfer in a motionless multicomponent fluid.

Identifier

0026976673 (Scopus)

ISBN

[0791806316]

Publication Title

ECOS 92 International Symposium

First Page

475

Last Page

479

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