Abstract

Time dependent magnetohydrodynamic flow of viscous incompressible CuO/Al₂O₃/TiO₂ water based nanofluid along a vertical permeable stretching surface in the presence of external magnetic field, thermal radiation and viscous dissipation is investigated. Apart from these effects, it is assumed that the surface is saturated in porous medium. Mathematical formulation of the problem is highly nonlinear coupled partial differential equations. To obtain the solution, at first these equations are transformed into ordinary differential equations by using suitable Lie transformation, then numerical solution of this system of equations are obtained. Numerical observations are compared with the previous studies. Comparative study of effects of different parameters such as Lewis number, concentration buoyancy ratio parameter, solid volume fraction of the nanofluid, Richardson number, radiation parameter, unsteadiness parameter, permeability parameter etc. on velocity, temperature, and concentration of nanofluids have been presented through graphs. The skin friction coefficient, Nusselt number and Sherwood number at the surface are derived, discussed numerically and their numerical values are presented through tables.

中文翻译：

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CuO/Al2O3/TiO2 水基纳米流体沿垂直可渗透拉伸表面的时间相关磁流体动力学流动

摘要

粘性不可压缩CuO/Al ₂ O ₃ /TiO _{2 的}时间相关磁流体动力学流动研究了在存在外部磁场、热辐射和粘性耗散的情况下沿垂直可渗透拉伸表面的水基纳米流体。除了这些影响，假设表面在多孔介质中饱和。该问题的数学公式是高度非线性耦合的偏微分方程。为求出解，首先用合适的李变换将这些方程转化为常微分方程，然后得到该方程组的数值解。数值观察与以前的研究进行了比较。刘易斯数、浓度浮力比参数、纳米流体的固体体积分数、理查森数、辐射参数、不稳定参数等不同参数的影响比较研究，纳米流体的速度、温度和浓度的渗透率参数等已通过图表呈现。推导出表面的皮肤摩擦系数、努塞尔数和舍伍德数，数值讨论，并通过表格给出它们的数值。