Reduced NavierStokes equations with streamwise viscous diffusion and heat conduction terms
Abstract
The slightly reduced NavierStokes (SRNS) equations which include most streamwise viscous diffusion terms and heat conduction terms are investigated in detail in this paper. It is proved that the present SRNS equations have a uniformly convergent solution with accuracy which is higher than that of the usual RNS or PNS equations. They are hyperbolicparabolic in mathematics which is the same as the RNS equations. The numerical method to solve the RNS equations are applicable to the SRNS equations. A spacemarching technique may be used to calculate the velocity components. The analysis of the analytical solutions of the SRNS equations shows that their application range is extensive.
 Publication:

Journal of Engineering and Thermophysics
 Pub Date:
 May 1991
 Bibcode:
 1991JETh...12..141W
 Keywords:

 Conductive Heat Transfer;
 Diffusion Coefficient;
 NavierStokes Equation;
 Viscous Flow;
 Computational Fluid Dynamics;
 Partial Differential Equations;
 Shock Layers;
 Fluid Mechanics and Heat Transfer