Solution of pressure gradient stretching plate with suction

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摘要

Solutions for the boundary value problem over an infinite domain have been obtained by first transforming the two-dimensional laminar boundary layer equations into an ordinary differential equation through similarity variables. The governing problem is the two-parameter Falkner–Skan equation with β, the streamwise pressure gradient and γ the suction velocity. The closed form solution for β = −1 obtained earlier is rewritten, which is then generalized for generalβ. The same equation is also solved using method of stretching of variables. Different velocity profiles have been observed for both β and γ. The results from both approaches are compared with that of direct numerical solutions, which agree very well.

论文关键词:Falkner–Skan equation,Similarity transformation,Power series,Stretching of variables,Least squares approximation

论文评审过程:Available online 31 December 2008.

论文官网地址:https://doi.org/10.1016/j.amc.2008.12.066