MHD Partial Slip Flow and Heat Transfer of Nanofluids through a Porous Medium Over a Stretching Sheet with Convective Boundary Condition

IF 0.3 Q4 MULTIDISCIPLINARY SCIENCES Momona Ethiopian Journal of Science Pub Date : 2020-04-30 DOI:10.4314/mejs.v12i1.3
Y. Yirga
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Abstract

This paper investigates the boundary layer analysis for magnetohydrodynamic partial slip flow and heat transfer of nanofluids through porous media over a stretching sheet with convective boundary condition. Four types of nanoparticles, namely copper, alumina, copper oxide and titanium oxide in the ethylene glycol (50%, i.e., Pr = 29.86) and water (i.e., Pr = 6.58) based fluids are studied. The governing highly nonlinear and coupled partial differential equations are solved numerically using fourth order Runge-Kutta method with shooting techniques. The velocity and temperature profiles are obtained and utilized to compute the skin friction coefficient and local Nusselt number for different values of the governing parameters viz. nanoparticle volume fraction parameter, magnetic field parameter, porosity parameter, velocity slip parameter and convective parameter. It is found that the velocity distribution of the nanofluids is a decreasing function of the magnetic parameter, porosity parameter, and velocity slip parameter. However, temperature of the nanofluids is an increasing function of magnetic field parameter, nanoparticle volume fraction parameter, porosity parameter, velocity slip parameter and convective parameter. The flow and heat transfer characteristics of the four nanofluids are compared. Moreover, comparison of the numerical results is made with previously published works for special cases and an excellent agreement is found.  Keywords: Magnetohydrodynamics, Partial Slip, Porous medium, Convective boundary, Nanofluid.
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具有对流边界条件的纳米流体在多孔介质上的MHD部分滑移流动和传热
本文研究了具有对流边界条件的纳米流体通过多孔介质的磁流体力学部分滑移流动和传热的边界层分析。研究了四种纳米粒子,即铜、氧化铝、氧化铜和氧化钛在乙二醇(50%,即Pr = 29.86)和水(即Pr = 6.58)基流体中的分布情况。采用四阶龙格-库塔法结合射击技术对控制的高度非线性耦合偏微分方程进行了数值求解。得到速度和温度曲线,并利用其计算纳米颗粒体积分数参数、磁场参数、孔隙度参数、速度滑移参数和对流参数不同值下的表面摩擦系数和局部努塞尔数。研究发现,纳米流体的速度分布是磁性参数、孔隙度参数和速度滑移参数的递减函数。而纳米流体的温度与磁场参数、纳米颗粒体积分数参数、孔隙度参数、速度滑移参数和对流参数呈递增关系。比较了四种纳米流体的流动和传热特性。在特殊情况下,将数值计算结果与前人的研究结果进行了比较,得到了很好的一致性。关键词:磁流体力学,局部滑移,多孔介质,对流边界,纳米流体
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Momona Ethiopian Journal of Science
Momona Ethiopian Journal of Science MULTIDISCIPLINARY SCIENCES-
自引率
0.00%
发文量
13
审稿时长
12 weeks
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