Thermophoresis and Brownian motion effects on magneto-convective heat transfer of viscoelastic nanofluid over a stretching sheet with nonlinear thermal radiation
Thermophoresis and Brownian motion effects on magneto-convective heat transfer of viscoelastic nanofluid over a stretching sheet with nonlinear thermal radiation
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DOI：
10.1080/01430750.2019.1636864
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发表时间：
2019-07-16
影响因子：
--
通讯作者：
Vajravelu, Kuppalapalle
中科院分区：
文献类型：
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作者：
Pal, Dulal;Roy, Netai;Vajravelu, Kuppalapalle
在本文中，磁场和非线性热辐射的粘弹性纳米流体的边界层流动和传热的拉伸片在存在吸力的影响进行了研究。我们考虑了热泳、布朗运动和粘性耗散的综合效应。利用相似变换，将控制方程化为一个带边界条件的非线性常微分方程组。用Runge-Kutta-Fehlberg五阶方法和打靶技术对简化的非线性微分方程组进行了数值求解。分析了磁场、普朗特数、粘性耗散、布朗运动参数、热浮力参数、粘弹性参数、热泳参数和刘易斯数对局部Nusselt数和局部舍伍德数的影响。研究表明，随着刘易斯数、壁温过剩比参数、布朗运动参数、热泳数、磁参数和Eckert数的增大，热边界层温度升高;随着Prandtl数、磁参数、刘易斯数和抽吸数的增大，拉伸面附近的速度分布减小.
In this paper, the effects of magnetic field and non-linear thermal radiation on the boundary layer flow and heat transfer of a viscoelastic nanofluid past a stretching sheet in the presence of suction has been investigated. We considered the combined effects of thermophoresis, Brownian motion and viscous dissipation. Using similarity transformations, the governing equations are reduced to a system of nonlinear ordinary differential equations with associated boundary conditions. The reduced non-linear system of differential equations has been solved numerically by Runge-Kutta-Fehlberg fifth-order method with a shooting technique. The effects of the magnetic field, the Prandtl number, the viscous dissipation, the Brownian motion parameter, the thermal buoyancy parameter, the viscoelastic parameter, the thermophoresis parameter, and the Lewis number on the local Nusselt and local Sherwood numbers are analysed. The study shows that the temperature in the thermal boundary layer increases with an increase in the value of Lewis number, wall temperature excess ratio parameter, Brownian motion parameter, thermophoresis number, magnetic parameter, and Eckert number, whereas velocity profile decreases near the stretching surface with an increase in the Prandtl number, magnetic parameter, Lewis number and suction number.