Unsteady Boundary-layer Flows

作者: Shijun Liao

DOI: 10.1007/978-3-642-25132-0_12

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摘要: In this chapter, we illustrate the validity of HAM-based Mathematica package BVPh (version 1.0) for nonlinear partial differential equations (PDEs) related to unsteady boundary-layer flows. We show that, using 1.0, an flow can be solved in a rather similar way that steady-state similarity ones governed by ODEs. other words, frame HAM, solving flows is as easy ones. This shows 1.0 some PDEs, especially those

参考文章(29)
Ioan Pop, Tsung-Yen Na, Unsteady flow past a stretching sheet Mechanics Research Communications. ,vol. 23, pp. 413- 422 ,(1996) , 10.1016/0093-6413(96)00040-7
S. C. R. DENNIS, The Motion of a Viscous Fluid Past an Impulsively Started Semi-infinite Flat Plate Ima Journal of Applied Mathematics. ,vol. 10, pp. 105- 117 ,(1972) , 10.1093/IMAMAT/10.1.105
C. C. Chang, C. Y. Wang, M. Miklavcic, Q. Du, Impulsive Stretching of a Surface in a Viscous Fluid SIAM Journal on Applied Mathematics. ,vol. 57, pp. 1- 14 ,(1997) , 10.1137/S0036139995282050
Shijun Liao, Series Solutions of Unsteady Boundary‐Layer Flows over a Stretching Flat Plate Studies in Applied Mathematics. ,vol. 117, pp. 239- 263 ,(2006) , 10.1111/J.1467-9590.2006.00354.X
R. Nazar, N. Amin, I. Pop, Unsteady boundary layer flow due to a stretching surface in a rotating fluid Mechanics Research Communications. ,vol. 31, pp. 121- 128 ,(2004) , 10.1016/J.MECHRESCOM.2003.09.004
S. Liao, Y. Tan, A General Approach to Obtain Series Solutions of Nonlinear Differential Equations Studies in Applied Mathematics. ,vol. 119, pp. 297- 354 ,(2007) , 10.1111/J.1467-9590.2007.00387.X
Shijun Liao, An analytic solution of unsteady boundary-layer flows caused by an impulsively stretching plate Communications in Nonlinear Science and Numerical Simulation. ,vol. 11, pp. 326- 339 ,(2006) , 10.1016/J.CNSNS.2004.09.004
J. C. Williams, III, T. B. Rhyne, Boundary Layer Development on a Wedge Impulsively Set into Motion Siam Journal on Applied Mathematics. ,vol. 38, pp. 215- 224 ,(1980) , 10.1137/0138019