An Integral Variational Equation for Transport Processes in a Moving Fluid

[+] Author and Article Information
E. S. Geskin

New Jersey Institute of Technology, Newark, N.J. 07102

J. Appl. Mech 56(1), 208-210 (Mar 01, 1989) (3 pages) doi:10.1115/1.3176048 History: Received January 27, 1987; Revised January 20, 1988; Online July 21, 2009


An integral variational equation can adequately describe heat, mass, and momentum transfer in a moving chemically reactive fluid. The Euler-Lagrange equations corresponding to the suggested variational equation are identical to the equations of entropy, momentum, angular momentum, and mass balance. The constructed Lagrangian density relates energy change in the system to the work and energy dissipation of the system. For steady-state processes, the Lagrangian density includes convective energy flow through the system boundary, energy dissipation in the system, and work of the system. The proposed variational equation is equivalent to the expansion of the principle of minimum energy dissipation.

Copyright © 1989 by ASME
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