Deduction of the Quasi‐linear Transport Equations of Hydro‐thermodynamics from the Gyarmati Principle

Abstract

Abstract From the universal form of Gyarmati's variational principle of thermodynamics the differential equations governing the internal energy and impulse transport of one component hydro‐thermodynamic systems are derived. In our particular case Gyarmati's “supplementary theorem” is confirmed, by which the validity of the universal form of Gyarmati's variational principle is guaranted also in non‐linear cases. Finally some problems of the Gyarmati principle and of non‐linear thermodynamics are discussed.