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Steady Boundary Layer Slip Flow along with Heat and Mass Transfer over a Flat Porous Plate Embedded in a Porous Medium

机译:嵌入多孔介质中的平多孔板上的稳定边界层滑流以及传热和传质

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摘要

In this paper, a simplified model of an incompressible fluid flow along with heat and mass transfer past a porous flat plate embedded in a Darcy type porous medium is investigated. The velocity, thermal and mass slip conditions are utilized that has not been discussed in the literature before. The similarity transformations are used to transform the governing partial differential equations (PDEs) into a nonlinear ordinary differential equations (ODEs). The resulting system of ODEs is then reduced to a system of first order differential equations which was solved numerically by using Matlab bvp4c code. The effects of permeability, suction/injection parameter, velocity parameter and slip parameter on the structure of velocity, temperature and mass transfer rates are examined with the aid of several graphs. Moreover, observations based on Schmidt number and Soret number are also presented. The result shows, the increase in permeability of the porous medium increase the velocity and decrease the temperature profile. This happens due to a decrease in drag of the fluid flow. In the case of heat transfer, the increase in permeability and slip parameter causes an increase in heat transfer. However for the case of increase in thermal slip parameter there is a decrease in heat transfer. An increase in the mass slip parameter causes a decrease in the concentration field. The suction and injection parameter has similar effect on concentration profile as for the case of velocity profile.
机译:在本文中,研究了不可压缩流体流以及通过嵌入达西型多孔介质中的多孔平板的传热和传质的简化模型。速度,热和质量滑移条件的使用在以前的文献中没有讨论过。相似变换用于将控制性偏微分方程(PDE)转换为非线性常微分方程(ODE)。然后将所得的ODE系统简化为一阶微分方程组,使用Matlab bvp4c代码对其进行了数值求解。借助几张图检查了渗透率,吸入/注入参数,速度参数和滑动参数对速度,温度和传质速率结构的影响。此外,还介绍了基于施密特数和索雷特数的观察结果。结果表明,多孔介质渗透率的增加增加了速度,降低了温度分布。这是由于流体流动阻力的减小而发生的。在传热的情况下,渗透率和滑动参数的增加导致传热的增加。但是,对于增加热滑差参数的情况,传热会减少。质量滑移参数的增加导致浓度场的减小。吸力和喷射参数对浓度分布的影响与速度分布的影响类似。

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  • 期刊名称 other
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  • 年(卷),期 -1(9),12
  • 年度 -1
  • 页码 e114544
  • 总页数 14
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