Reduced Navier-Stokes equations with streamwise viscous diffusion and heat conduction terms
Abstract
The slightly reduced Navier-Stokes (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 hyperbolic-parabolic 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 space-marching 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;
- Navier-Stokes Equation;
- Viscous Flow;
- Computational Fluid Dynamics;
- Partial Differential Equations;
- Shock Layers;
- Fluid Mechanics and Heat Transfer