Fundamental aerothermodynamic equations for stationary and moving coordinate systems  Action of viscous forces and physical significance of viscous terms
Abstract
Rigorous and unified derivations of fundamental aerothermodynamic equations are presented for both steady and unsteady one and multidimensional flows of a viscous gas in coordinate systems which are stationary, moving at a uniform velocity, and rotating at a uniform velocity. For each of the coordinate systems, the rate of work done by the gas, the rate of change of internal energy, and the energy equation relative to stationary and moving observers are derived, and the role of the viscous force is determined. Emphasis is on gas pressure, work done by the viscous force, and the physical significance of the viscous terms in the momentum and energy equations. In addition, certain conceptual ambiguities and lax derivations in textbooks and research reports are pointed out, including erroneous conclusions and equations derived therefrom.
 Publication:

Engineering Thermophysics China
 Pub Date:
 March 1980
 Bibcode:
 1980CEnTp...1...59W
 Keywords:

 Aerothermodynamics;
 Computational Fluid Dynamics;
 Flow Equations;
 Gas Dynamics;
 Steady Flow;
 Viscous Flow;
 Conservation Laws;
 Continuity Equation;
 Coordinates;
 Flow Velocity;
 Laminar Boundary Layer;
 One Dimensional Flow;
 Rotating Fluids;
 Unsteady Flow;
 Fluid Mechanics and Heat Transfer