Mathematical analysis of MHD stagnation point flow of Cu-blood nanofluid past an exponential stretchable surface

Santosh Chaudhary, Ajay V. Singh, K. Kanika
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引用次数: 1

Abstract

Abstract Two dimensional, steady, incompressible magnetohydrodynamic flow near a stagnation region toward an exponentially stretching plate is numerically investigated in present illustration. Base fluid– blood, along with copper (Cu) is taken to compose the nanofluid and different shapes of nanoparticles such as sphere, hexahedron, tetrahedron, column and lamina are taken into considerations. By using the suitable similarity transformations, the consequent equations are converted to a set of nonlinear ordinary differential equations. The spectral relaxation method is applied to compute the solution of the system. Several parameters like stretching parameter, nanoparticle volume fraction, magnetic parameter, Brinkman number and empirical shape factor are emerging in the governing equations, which affects the fluid flow veocity and temperature. These changes are given in the graphical form. Furthermore, impacts of specified parameters on surface shear stress and surface heat flux are also enlisted in form of tables. To ensure the validation of the results, the present results are compared with already existing data.
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铜血纳米流体通过指数可拉伸表面的MHD滞止点流动的数学分析
摘要本文用数值方法研究了二维、稳定、不可压缩的磁流体在滞止区附近向指数拉伸板的流动。以基础流体——血液和铜(Cu)组成纳米流体,并考虑了不同形状的纳米颗粒,如球体、六面体、四面体、柱状和层状。通过适当的相似变换,将后式方程转化为一组非线性常微分方程。采用谱松弛法计算了系统的解。控制方程中出现了拉伸参数、纳米颗粒体积分数、磁性参数、布林克曼数和经验形状因子等参数,影响流体的流速和温度。这些变化以图形形式给出。此外,还以表格的形式列出了指定参数对表面剪切应力和表面热通量的影响。为了保证结果的有效性,本文的结果与已有的数据进行了比较。
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