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Unsteady MHD Thin Film Flow of an Oldroyd-B Fluid over an Oscillating Inclined Belt

机译:Oldroyd-B流体在振荡倾斜带上的非稳态MHD薄膜流动

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摘要

This paper studies the unsteady magnetohydrodynamics (MHD) thin film flow of an incompressible Oldroyd-B fluid over an oscillating inclined belt making a certain angle with the horizontal. The problem is modeled in terms of non-linear partial differential equations with some physical initial and boundary conditions. This problem is solved for the exact analytic solutions using two efficient techniques namely the Optimal Homotopy Asymptotic Method (OHAM) and Homotopy Perturbation Method (HPM). Both of these solutions are presented graphically and compared. This comparison is also shown in tabular form. An excellent agreement is observed. The effects of various physical parameters on velocity have also been studied graphically.
机译:本文研究了不可压缩的Oldroyd-B流体在与水平方向成一定角度的振荡倾斜带上的非稳态磁流体动力学(MHD)薄膜流。该问题是根据具有某些物理初始条件和边界条件的非线性偏微分方程建模的。使用两种有效的技术,即最佳同伦渐近方法(OHAM)和同伦摄动方法(HPM),可以为精确的解析解解决此问题。这两种解决方案均以图形方式呈现并进行了比较。此比较也以表格形式显示。观察到极好的协议。还已通过图形研究了各种物理参数对速度的影响。

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