热辐射对粘性流体流过多孔非线性收缩平面时的MHD流动和热传导的影响

G·C·斯特; R·哈尔达

doi:10.3879/j.issn.1000-0887.2011.06.001

热辐射对粘性流体流过多孔非线性收缩平面时的MHD流动和热传导的影响

doi: 10.3879/j.issn.1000-0887.2011.06.001

迦达浦大学数学系,加尔各答 700032,印度

详细信息

中图分类号: O361.3
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出版历程
- 收稿日期: 2010-02-09
- 修回日期: 2011-04-08
- 刊出日期: 2011-06-15

Effect of Thermal Radiation on MHD Viscous Fluid Flow and Heat Transfer Over a Non-Linear Shrinking Porous Sheet

Department of Mathematics, Jadavpur University, Kolkata 700032, India

摘要

摘要: 研究热辐射对多孔非线性收缩平面上磁流体动力学（MHD）流动和热传导的影响．假设收缩平面的速度和横向磁场，按离原点距离的幂函数而变化；又假设粘性按与其有关的温度的反函数变化，热传导率按温度的线性函数变化．通过广义相似变换，将偏微分方程的控制方程，简化为耦合的非线性常微分方程，然后通过有限差分法进行数值求解．在不同的参数取值下，得到速度和温度分布，以及多孔平面上表面摩擦因数和热传导率的数值结果．
- 热辐射 /
- 收缩平面 /
- 可变粘性 /
- 可变热传导率
Abstract: Of concern was an investigation of the effects of thermal radiation on magnetohydrodynamic (MHD)flow and heat transfer over a non-linear shrinking porous sheet.The surface velocity of the shrinking sheet and the transverse magnetic field were assumed to vary as a power function of the distance from the origin.The temperature dependent viscosity and the thermal conductivity were also assumed to vary as an inverse function and a linear function of the temperature respectively.A generalized similarity transformation was used to reduce the governing partial differential equations into its non-linear coupled ordinary differential equations and were solved numerically by using finite difference scheme.The numerical results concern with the velocity and temperature profiles as well as the skin-friction coefficient and the rate of heat transfer at the porous sheet for different values of the parameters of interest.
- thermal radiation /
- shrinking sheet /
- variable viscosity /
- variable thermal conductivity

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参考文献(24)

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