The Statistical Mechanical Theory of Transport Processes. IV. The Equations of Hydrodynamics
- 1 June 1950
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 18 (6), 817-829
- https://doi.org/10.1063/1.1747782
Abstract
The equations of hydrodynamics—continuity equation, equation of motion, and equation of energy transport—are derived by means of the classical statistical mechanics. Thereby, expressions are obtained for the stress tensor and heat current density in terms of molecular variables. In addition to the familiar terms occurring in the kinetic theory of gases, there are terms depending upon intermolecular force. The contributions of intermolecular force to the stress tensor and heat current density are expressed, respectively, as quadratures of the density and current density in the configuration space of a pair of molecules.Keywords
This publication has 3 references indexed in Scilit:
- The Statistical Mechanical Theory of Transport Processes. III. The Coefficients of Shear and Bulk Viscosity of LiquidsThe Journal of Chemical Physics, 1949
- A general kinetic theory of liquids I. The molecular distribution functionsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1946
- The Statistical Mechanical Theory of Transport Processes I. General TheoryThe Journal of Chemical Physics, 1946