Exact solutions of unsteady boundary layer equations for power-law non-Newtonian fluids
- 54 Downloads
A number of new exact solutions (with the generalized and functional separation of variables) of unsteady equations of a planar and asymmetric boundary layer of power-law non-Newtonian fluids are described. To find the solutions, the Crocco transformation reducing the order of the equations considered and simpler point transformations are used. Two theorems allowing one to generalize exact solutions of the unsteady axisymmetric boundary layer equations including additional arbitrary functions into them are proven.
KeywordsExact Solution Arbitrary Function DOKLADY Physic Boundary Layer Equation Pressure Function
Unable to display preview. Download preview PDF.
- 1.H. Schlichting, Boundary Layer Theory (McGrawHill, New York, 1974).Google Scholar
- 2.L. G. Loitsyanskiy, Mechanics of Liquids and Gases (Begell House, New York, 1995).Google Scholar
- 8.A. D. Polyanin and V. F. Zaitsev, Handbook of Nonlinear Partial Differential Equations (Chapman & Hall/CRC Press, Boca Raton–London, 2012).Google Scholar
- 9.A. V. Aksenov and A. A. Kozyrev, Vestn. NIYaU MIFI 2 (4), 415 (2013).Google Scholar