A Study on Unsteady Magneto-Hydrodynamics (Mhd) Free Convective Flow Past a Vertical Oscillating Plate Through a Porous Medium in the Presence of Heat Source

Sufiyanu Muhammad Dakin-Gari, M. N. Sarki, A.U. Dakin Gari, I. D. Yale
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Abstract

This study investigate time dependent MHD natural convective flow past a vertical oscillating plate through a porous medium in the  presence of heat source. The governing differential equations of the flow characteristics are solved numerically by using the implicit finite  difference scheme. The results obtained for the velocity, temperature and concentration were analysed. The effects of different  physical parameters appear on the present situation such as Prandtl number (Pr), Schmidt number (Sc), thermal Grashof number (Gr),  mass Grashof number (Gc), radiation (R), magnetic field (M), Time (t) and Heat source (Q) were presented graphically and discussed in  detail. It is observed that the fluid velocity significantly increases as the value of Grashof number (Gr), mass Grashof number (Gc),  Permeability parameter (K) and Time (t) increased, while the opposite phenomenon is noticed for growing values of magnetic field  parameter (M), Prandtl number (Pr), radiation parameter (R), Schmidt number (Sc) respectively. 
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关于热源存在时穿过多孔介质垂直振荡板的非稳态磁流体力学(Mhd)自由对流的研究
本研究探讨了在存在热源的情况下,流经多孔介质的垂直振荡板的随时间变化的 MHD 自然对流。采用隐式有限差分方案对流动特性的控制微分方程进行了数值求解。对获得的速度、温度和浓度结果进行了分析。不同物理参数对当前情况的影响,如普朗特数(Pr)、施密特数(Sc)、热格拉肖夫数(Gr)、质量格拉肖夫数(Gc)、辐射(R)、磁场(M)、时间(t)和热源(Q),均以图表形式呈现,并进行了详细讨论。据观察,随着格拉肖夫数 (Gr)、质量格拉肖夫数 (Gc)、渗透性参数 (K) 和时间 (t) 值的增加,流体速度明显增加,而磁场参数 (M)、普朗特数 (Pr)、辐射参数 (R) 和施密特数 (Sc) 值的增加则分别出现相反的现象。
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