Steady mixed convection flow of Maxwell fluid over an exponentially stretching vertical surface with magnetic field and viscous dissipation
Steady mixed convection flow of Maxwell fluid over an exponentially stretching vertical surface with magnetic field and viscous dissipation
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DOI：
10.1007/s11012-014-9884-2
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发表时间：
2014-05-01
期刊：
影响因子：
2.7
通讯作者：
Nath, G.
中科院分区：
文献类型：
--
作者：
Kumari, M.;Nath, G.
研究了在存在磁场、粘性耗散和焦耳热的情况下静态麦克斯韦流体中指数拉伸垂直表面的稳定混合对流和传热。对于局部相似解的存在性，假设拉伸速度、表面温度和磁场具有特定的指数函数形式。采用切比雪夫有限差分法对控制局部相似流动和传热的耦合非线性常微分方程进行了数值求解。详细考虑了麦克斯韦流体的浮力参数、粘性耗散、弛豫参数、磁场和普朗特数对流动和传热的影响。努塞尔数随普朗特数显着增大，但表面摩擦系数减小。随着粘性耗散参数的增加，努塞尔数略有减小，但表面摩擦系数略有增加。麦克斯韦流体降低了表面摩擦系数和努塞尔数，而浮力则增强了它们。
The steady mixed convection flow and heat transfer from an exponentially stretching vertical surface in a quiescent Maxwell fluid in the presence of magnetic field, viscous dissipation and Joule heating have been studied. The stretching velocity, surface temperature and magnetic field are assumed to have specific exponential function forms for the existence of the local similarity solution. The coupled nonlinear ordinary differential equations governing the local similarity flow and heat transfer have been solved numerically by Chebyshev finite difference method. The influence of the buoyancy parameter, viscous dissipation, relaxation parameter of Maxwell fluid, magnetic field and Prandtl number on the flow and heat transfer has been considered in detail. The Nusselt number increases significantly with the Prandtl number, but the skin friction coefficient decreases. The Nusselt number slightly decreases with increasing viscous dissipation parameter, but the skin friction coefficient slightly increases. Maxwell fluid reduces both skin friction coefficient and Nusselt number, whereas buoyancy force enhances them.