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An approximate method for solving MHD boundary layer flow over a stretching sheet with Joule heating and convective thermal condition
International Journal of Modern Physics C ( IF 1.9 ) Pub Date : 2021-09-08 , DOI: 10.1142/s0129183122500243
M. M. Khader 1, 2 , M. M. Babatin 1
Affiliation  

In this paper, He’s homotopy perturbation method (HPM) is used, which is an approximate analytical method for solving numerically the problem of Newtonian fluid flow past a porous exponentially stretching sheet with Joule heating and convective boundary condition. The major feature of HPM is that it does not need the small parameters in the equations and hence the determination of classical perturbation can be discarded. Due to the complete efficiency of the HPM, it becomes practically well suited for use in this field of study. Also, the obtained solutions for both the velocity and temperature field are graphically sketched. The results reveal that the proposed method is very effective, convenient, and quite accurate to systems of nonlinear differential equations. Results of this study shed light on the accuracy and efficiency of the HPM in solving these types of nonlinear boundary layer equations.

中文翻译:

一种求解焦耳加热和对流热条件下拉伸片上MHD边界层流动的近似方法

在本文中,使用何氏同伦摄动法(HPM),这是一种近似解析方法,用于数值求解牛顿流体流过具有焦耳加热和对流边界条件的多孔指数拉伸片的问题。HPM 的主要特点是它不需要方程中的小参数,因此可以丢弃经典扰动的确定。由于 HPM 的完全效率,它实际上非常适合用于该研究领域。此外,还以图形方式绘制了速度场和温度场的获得解。结果表明,该方法对非线性微分方程组非常有效、方便且相当准确。
更新日期:2021-09-08
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