SEVERAL EXACT SOLUTIONS OF THE SIMPLIFIED NAVIER-STOKES EQUATIONS (SNSE)

The Simplified Navier-Stokes equations (SNSE) and their exact solutions for theflow near a rotating disk and the flow in the vicinity of a stagnation point for both two - and three-dimensional flows are presented in this paper. The analysis shows that in the aforementioned casesthe exact solutions of the inner-outer-layer-matched SNSE are completely consistent with those ofthe complete Navier-Stokes equations (CNSE) and that the exact velocity solutions of D-SNSEagree with those of CNSE, however, the exact pressure solutions of D-SNSE do not agree with thoseof CNSE. The maximum relative pressure errors between the exact solutions of D-SNSE and CNSEcan be as high as a hundred per cent.