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Solution of the Falkner-Skan wedge flow by HPM-Pade' method

机译:用HPM-Pade方法求解Falkner-Skan楔形流

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摘要

In this paper, the temperature and velocity fields associated with the Falkner-Skan boundary-layer problem have been studied. The nonlinear boundary-layer equations are solved analytically by homotopy Perturbation method (HPM) employing Pade' technique. Analytical results for the temperature and velocity of the flow are presented through graphs and tables for various values of the wedge angle and Prandtl number. It is seen that the current results in comparison with the numerical ones are in excellent agreement and the HPM-Pade' solution provides a convenient way to control and adjust the convergence region of a system of nonlinear boundary-layer problems.
机译:本文研究了与Falkner-Skan边界层问题有关的温度和速度场。非线性边界层方程采用帕德(Pade)技术通过同伦摄动法(HPM)进行解析求解。通过图表和表格显示了楔形角和普朗特数的各种值的流动温度和流速的分析结果。可以看出,目前的结果与数值结果相吻合,并且HPM-Pade解决方案为控制和调整非线性边界层问题系统的收敛区域提供了便利的方法。

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