耗散流体通过振动垂直多孔板吸热MHD卡逊流的牛顿热效应数值研究

B. P. Reddy, L. J. Sademaki
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引用次数: 1

摘要

考虑热沉和粘性耗散的影响,对辐射流体和化学反应流体通过嵌入多孔介质的垂向多孔板的非定常自由对流MHD卡森流的牛顿热效应进行了数值研究。由于板块沿其长度的周期性振荡,流体运动被说服。这种现象被表示为具有初始条件和边界条件的非线性偏微分方程。通过引入适当的无量纲变量和参数,将具有初始条件和边界条件的导方程转化为无量纲形式,然后用有限差分法进行数值求解。几个相关参数对速度、温度和浓度的影响以图形形式显示,而这些参数对表面摩擦和努塞尔数和舍伍德数的影响以表格形式显示,然后详细讨论。结果表明,辐射参数和Eckert数对速度和温度的影响呈增加趋势,而普朗特数和吸热参数的增加则呈相反趋势。牛顿加热参数、热浮力和质量浮力提高了流体速度,而施密特数和化学反应对流体速度的影响相反。值得注意的是,在本研究中牛顿流体的速度边界层厚度大于卡森流体。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Numerical Study on Newtonian Heating Effect on Heat Absorbing MHD Casson Flow of Dissipative Fluid past an Oscillating Vertical Porous Plate
The numerical study of Newtonian heating effect on unsteady free convection MHD Casson flow of radiating and chemically reacting fluid past an oscillating vertical porous plate embedded in a porous medium was conducted by considering the effects of heat sink and viscous dissipation. The fluid motion is persuaded due to the periodic oscillations of the plate along its length. This phenomenon is represented as nonlinear PDEs with initial and boundary conditions. By introducing suitable nondimensional variable and parameters, the leading equation with initial and boundary conditions is converted into dimensionless form, which are then solved numerically using a finite difference method. The effects of several relevant parameters on the velocity, temperature, and concentration are displayed graphically, whilst the effects of these parameters on the skin friction and Nusselt and Sherwood numbers are exhibited in tabular format and then discussed in detail. The final outcomes divulge that the radiation parameter and Eckert number have an increasing effect on the velocity and temperature, whilst reverse tendency is detected with increasing Prandtl number and heat absorption parameter. Newtonian heating parameter and thermal and mass buoyancy forces boost fluid velocity, whilst Schmidt number and chemical reaction have the opposite impact. It is noteworthy to point out in this study that the velocity boundary layer thickness for the Newtonian fluid is larger than the Casson fluid.
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