ON THE SLIGHTLY REDUCED NAVIER-STOKES EQUATIONS

In this paper the so-called slightly reduced Navier-Stokes (SRNS) equa tions with most streamwise viscous diffusion and heat conduction terms are investigated in detail. It is proved that the SRNS equations are hyperbolic-parabolic in mathematics, which is the same as the current RNS or PNS equations. The numerical methods for solving the RNS equati ons are, therefore, applicable to the present SANS equations. It is fu rther proved that the SRNS equations have a uniformly convergent solut ion with accuracy of 0 (epsilon(2)) or 0 (Re-1) which is higher than t hat of the RNS equations, and for a laminar flow past a flat plate the SRNS solution is regular at the point of separation and is a precise approximation to that of the complete Navier-Stokes equations. The num erical results demonstrate that the SANS equations may give accurate p icture of the flow and are an effective tool in analyzing complex flow s.