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MHD Boundary Layer Flow of Second-Grade Nanofluid over a Stretching Sheet with Convective Boundary Conditions

机译:具有对流边界条件的拉伸纳米片上二级纳米流体的MHD边界层流动

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摘要

This paper focuses on the magnetohydrodynamic (MHD) boundary layer flow and heat transfer of a non-Newtonian nanofluid over a stretching sheet. The presence of Brownian motion and thermophoresis effects lead to a coupled nonlinear boundary value problem. Convective boundary conditions have been handled for the thermal boundary layer problem. Similarity transformations have been invoked to reduce the arising partial differential equations into ordinary ones. Series expressions of velocity, temperature, and nanoparticles concentration are obtained by homotopy analysis method (HAM). The homotopy solutions are validated with the obtained numerical solutions. It is noticed that velocity and the boundary layer thickness are increasing functions of the non-Newtonian (elastic) parameter for second grade fluid. However, the thermal and nanoparticles concentration boundary layers thin when the viscoelastic effects strengthen. Moreover, there is an appreciable increase in the temperature and the thermal boundary thickness when the strength of Brownian motion and thermophoresis effects are increased.
机译:本文重点研究了非牛顿纳米流体在拉伸片上的磁流体动力学(MHD)边界层流动和热传递。布朗运动和热泳效应的存在导致耦合的非线性边界值问题。对于热边界层问题,已经处理了对流边界条件。调用了相似变换将出现的偏微分方程简化为普通方程。速度,温度和纳米颗粒浓度的系列表达式通过同伦分析方法(HAM)获得。用获得的数值解验证同伦解。注意到,速度和边界层厚度是二等流体的非牛顿(弹性)参数的增加函数。然而,当粘弹性效应增强时,热和纳米颗粒浓度边界层变薄。此外,当布朗运动和热泳效应的强度增加时,温度和热边界厚度会明显增加。

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