Effect of Unsteady Magnetic Hydrodynamic on Oscillating Flow for Fractional Burgers’ Model

Amaal Mohi Nassief
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Abstract

The purpose of this paper is studying the effect of magnetic hydrodynamic (MHD) of unsteady flow with fractional Burger’s model between two oscillating parallel plates. The fractional order derivative in described in the Riemann-Liouville sense. The solutions which we obtained of the velocity field and the shear stress by using Laplace transform and Fourier transform in the expression of Mittage-Lefller function. Furthermore, the influence of the parameters on the velocity field spotlighted by means of the several graphs. [DOI: 10.22401/JNUS.20.4.13]
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非定常磁流体动力对分数Burgers模型振荡流动的影响
本文采用分数阶伯格模型研究了两个振动平行板间非定常流动的磁流体力学效应。分数阶导数是在黎曼-刘维尔意义上描述的。利用mitage - lefller函数表达式中的拉普拉斯变换和傅里叶变换,得到了速度场和剪应力的解。此外,还利用几张图显示了各参数对速度场的影响。(DOI: 10.22401 / JNUS.20.4.13)
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