The variational principles of classical type for non-coupled non-stationary irreversible transport processes with convective motion and relaxation

Abstract A unified method is presented that leads to the new functionals of classical type for which the necessary stationarity conditions are linear hyperbolic differential equations of change describing uncoupled heat, mass and momentum transport in incompressible media. Attention is directed toward the significance of functionals found for a variational description of irreversible transport processes, especially those involving relaxation effects. The applicability of direct variational methods for finding nonstationary fields of temperature, concentration, pressure and velocities is emphasized.

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