非线性磁流体动力学杰弗里-哈梅尔流与传热问题的最优同伦摄动法
Optimal homotopy perturbation method for nonlinear differential equations governing MHD Jeffery-Hamel flow with heat transfer problem
AI总结：
本文利用最优同伦摄动法求解非线性磁流体动力学杰弗里-哈梅尔流与传热问题，通过Navier-Stokes方程结合麦克斯韦电磁学和传热学推导出两个非线性常微分方程，并与数值结果和同伦摄动法结果对比验证
摘要：
本文采用最优同伦摄动法（OHPM）求解非线性磁流体动力学杰弗里-哈梅尔流与传热问题的解析近似解。Navier-Stokes方程考虑麦克斯韦电磁学和传热学，推导出两个非线性常微分方程。通过OHPM获得的结果与数值结果及同伦摄动法（HPM）结果对比显示具有很好的一致性。
英文摘要：
In this paper, Optimal Homotopy Perturbation Method (OHPM) is employed to determine an analytic approximate solutions for nonlinear MHD Jeffery-Hamel flow and heat transfer problem. The Navier-Stokes equations, taking into account Maxwell's electromagnetism and heat transfer lead to two nonlinear ordinary differential equations. The obtained results by means of OHPM show a very good agreement in comparison with the numerical results and with Homotopy Perturbation Method (HPM).
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