Abstract
The Simplified Navier-Stokes equations (SNSE) and their exact solutions for the flow 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 cases the exact solutions of the inner-outer-layer-matched SNSE[4] are completely consistent with those of the complete Navier-Stokes equations (CNSE) and that the exact velocity solutions of D-SNSE[1,3] agree with those of CNSE, however, the exact pressure solutions of D-SNSE do not agree with those of CNSE. The maximum relative pressure errors between the exact solutions of D-SNSE and CNSE can be as high as a hundred per cent.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Golovachev, U. P., Kuzmin, A. M., Popov, F. D., Zh. Veichisl. Matem. & Matem. Fiz. 4 (1973), (In Russian).
Tolsteikh, A. I., Izv. Akad. Nauk SSSR Mekh. Zhidk. Gaza 6 (1969), (In Russian).
Davis, r. T.,AIAA J.,8, 5(1970).
Gao Zhi,Acta Mechanica Sinica, 6 (1982), (In Chinese).
Wang Ruquan, Liu Xuezong, Jiao Luqiong, Gal Zhi,Acta Mechanica Sinica, 3 (1980), (In Chinese).
Emelianova, Z. M., Pavlov, B. M., Using the complete and simplified Navier-Stokes equations to solve viscous supersonic flow over sphere, V KN: Veichisl. Metodei & Program. Veip 34 M, Izd-va Mosk. Un-ta. (1981), (In Russian).
Schlichting, H., Boundary Layer Theory (McGraw-Hill Series in Mechanical Engineering) fourth Edition, (1960).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zhi, G. Several exact solutions of the simplified Navier-Stokes equations (SNSE). Acta Mech Sinica 2, 109–120 (1986). https://doi.org/10.1007/BF02485851
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02485851