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Flow analysis for the Falkner-Skan wedge flow

机译:Falkner-Skan楔形流的流量分析

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摘要

In this article an analytical technique, namely the homotopy analysis method (HAM), is applied to solve the momentum and energy equations in the case of a two-dimensional incompressible flow passing over a wedge. The trail and error method and Pade approximation strategies have been used to obtain the constant coefficients in the approximated solution. The effects of the polynomial terms of HAM are considered and the accuracy of the results is shown, which increases with the increasing polynomial terms of HAM. Analytical results for the dimensionless velocity and temperature profiles of the wedge flow are presented graphically for different values of the wedge angle and Prandtl number. Results show good accuracy when compared with the numerical solution.
机译:在本文中,应用了一种分析技术,即同伦分析方法(HAM),以解决二维不可压缩流通过楔形时的动量和能量方程。跟踪和误差法以及Pade逼近策略已用于获得近似解中的常数系数。考虑HAM多项式项的影响并显示结果的准确性,该精度随HAM多项式项的增加而增加。对于楔角和普朗特数的不同值,以图形方式显示了楔流的无量纲速度和温度分布图的分析结果。与数值解相比,结果显示出良好的准确性。

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