Hydrodynamic Boundary Layer Flow of Chemically Reactive Fluid over Exponentially Stretching Vertical Surface with Transverse Magnetic Field in Unsteady Porous Medium

M. Sulemana, I. Y. Seini, O. Makinde
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引用次数: 4

Abstract

This article addresses the hydrodynamic boundary layer flow of a chemically reactive fluid over an exponentially stretching vertical surface with transverse magnetic field in an unsteady porous medium. The flow problem is modelled as time depended dimensional partial differential equations which are transformed to dimensionless equations and solved by means of approximate analytic method. The results are illustrated graphically and numerically and compared with previously published results which shown a good agreement. Physically increasing Eckert number of a fluid amplifies the kinetic energy of the fluid, and as a novelty, the Eckert number under the influence of chemically reactive magnetic field is effective in controlling the kinematics of hydrodynamic boundary layer flow in porous medium. Interestingly, whilst the Eckert number amplifies the thermal boundary layer thickness and velocity as well as the concentration of the fluid, the presence of the magnetic field and the strength of the chemical reaction have a retarding effect on the flow. Also, the chemical reaction parameter and permeability of porous medium are effective in reducing skin friction in chemically reactive magnetic porous medium and are relevant in practice because reduced skin friction enhances the efficiency of a system. The results of the current study are useful in solar energy collector systems and materials processing.
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非定常多孔介质中具有横向磁场的化学反应流体在指数拉伸垂直表面上的流体动力边界层流动
本文研究了非定常多孔介质中具有横向磁场的化学反应流体在指数拉伸垂直表面上的流体动力学边界层流动。将流动问题建模为随时间变化的量纲偏微分方程,并将其转化为无量纲方程,用近似解析法求解。结果用图形和数值说明,并与先前发表的结果进行了比较,结果显示出很好的一致性。物理提高流体的Eckert数可以放大流体的动能,化学反应磁场作用下的Eckert数作为一种新颖的方法可以有效地控制多孔介质中流体动力边界层流动的运动学。有趣的是,虽然埃克特数放大了热边界层的厚度和速度以及流体的浓度,但磁场的存在和化学反应的强度对流动有延缓作用。此外,化学反应参数和多孔介质的渗透率对减少化学反应性磁性多孔介质的表面摩擦是有效的,并且在实践中具有重要意义,因为表面摩擦的减少可以提高系统的效率。本研究结果对太阳能集热器系统和材料加工具有重要意义。
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