A new solution branch for the Blasius equation-A shrinking sheet problem

作者: Tiegang Fang , Wei Liang , Chia-fon F. Lee

DOI: 10.1016/J.CAMWA.2008.07.027

关键词: MomentumBlasius boundary layerConstant (mathematics)MathematicsSurface (mathematics)Boundary layerBoundary value problemSimilarity solutionWork (thermodynamics)Mathematical analysis

摘要: In this work, a similarity equation of the momentum boundary layer is studied for moving flat plate with mass transfer in stationary fluid. The solution applicable to practical problem shrinking sheet constant velocity. Theoretical estimation domain obtained. It shown that only exists suction at wall surface. associated conditions solved using numerical techniques. Greatly different from continuously stretching surface and Blasius free stream, quite complicated behavior observed results. seen there are three zones divided by two critical parameters, f"0"1~1.7028 f"0"2~1.7324. When f"0f"0"2). There terminating point corresponds special algebraically decaying current problem. results provide new branch equation, which greatly previous study more insight into understanding equation.

参考文章(34)
Faiz Ahmad, Degeneracy in the blasius problem Electronic Journal of Differential Equations. ,vol. 2007, ,(2007)
Frank M. White, Viscous Fluid Flow ,(1974)
M. Sajid, T. Javed, T. Hayat, MHD rotating flow of a viscous fluid over a shrinking surface Nonlinear Dynamics. ,vol. 51, pp. 259- 265 ,(2007) , 10.1007/S11071-007-9208-3
Tiegang Fang, Flow over a stretchable disk Physics of Fluids. ,vol. 19, pp. 128105- ,(2007) , 10.1063/1.2823572
M. Y. HUSSAINI, W. D. LAKIN, Existence and non-uniqueness of similarity solutions of a boundary-layer problem Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 39, pp. 15- 24 ,(1986) , 10.1093/QJMAM/39.1.15
M. Y. Hussaini, W. D. Lakin, A. Nachman, On similarity solutions of a boundary layer problem with an upstream moving wall Siam Journal on Applied Mathematics. ,vol. 47, pp. 699- 709 ,(1987) , 10.1137/0147048
Rafael Cortell, Viscous flow and heat transfer over a nonlinearly stretching sheet Applied Mathematics and Computation. ,vol. 184, pp. 864- 873 ,(2007) , 10.1016/J.AMC.2006.06.077
Anuar Ishak, Roslinda Nazar, Ioan Pop, Boundary Layer on a Moving Wall with Suction and Injection Chinese Physics Letters. ,vol. 24, pp. 2274- 2276 ,(2007) , 10.1088/0256-307X/24/8/033