Article citationsMore>>

D. R. Hartree, “On an Equation Occurring in Falkner and Skan’s Approximate Treatment of the Equations of the Boundary Layer,” Proceedings of the Cambridge Philo sophical Society, Vol. 33, No. 2, 1937, pp. 223-239. doi:10.1017/S0305004100019575

has been cited by the following article:

• TITLE: Series Solution of Non-Similarity Boundary-Layer Flow in Porous Medium

  AUTHORS: Nabeela Kousar, Rashid Mahmood

  KEYWORDS: Non-Similarity; Boundary-Layer Flow; Porous Wedge; Series Solution; Homotopy Analysis Method

  JOURNAL NAME: Applied Mathematics, Vol.4 No.8A, July 29, 2013

  ABSTRACT: This paper aims to present complete series solution of non-similarity boundary-layer flow of an incompressible viscous fluid over a porous wedge. The corresponding nonlinear partial differential equations are solved analytically by means of the homotopy analysis method (HAM). An auxiliary parameter is introduced to ensure the convergence of solution series. As a result, series solutions valid for all physical parameters in the whole domain are given. Then, the effects of physical parameters γ and Prandtl number Pr on the local Nusselt number and momentum thickness are investigated. To the best of our knowledge, it is the first time that the series solutions of this kind of non-similarity boundary-layer flows are reported.