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首页> 外文期刊>Applied Mechanics and Engineering >VISCOUS DISSIPATION EFFECTS ON MHD FLOW OF A CONDUCTING POWER-LAW FLUID WITH A PRESSURE GRADIENT
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VISCOUS DISSIPATION EFFECTS ON MHD FLOW OF A CONDUCTING POWER-LAW FLUID WITH A PRESSURE GRADIENT

机译：带有压力梯度的导电幂律流体的MHD流动的粘性耗散效应

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摘要

The problem of a steady two-dimensional flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field under the influence of a pressure gradient by considering viscous dissipation effects is studied. The resulting governing partial differential equations are transformed into a set of non linear ordinary differential equations using appropriate transformation. The set of non linear ordinary differential equations is first linearized by using the Quasi-linearization technique and then solved numerically by using an implicit finite difference scheme. The system of algebraic equations is solved by using the Gauss-Seidal iterative method. The energy equation for a special case for which a similarity solution exist is also considered. The effects of the power-law index, magnetic parameter, viscous dissipation and generalized Prandtl number on the velocity and temperature profiles are of special interest. Numerical results are tabulated for the skin friction co-efficient. Velocity and temperature profiles are drawn for different controlling parameters which reveal the tendency of the solution.
机译：通过考虑粘性耗散效应，研究了在压力梯度影响下，在有横向磁场存在的情况下，传导幂律流体稳定地二维流过平板的问题。使用适当的变换，将得到的控制偏微分方程转换为一组非线性常微分方程。首先使用准线性化技术对非线性常微分方程组进行线性化，然后使用隐式有限差分方案对其进行数值求解。代数方程组通过使用高斯-赛德尔迭代法求解。还考虑了存在相似解的特殊情况下的能量方程。幂律指数，磁参数，粘性耗散和广义普朗特数对速度和温度分布的影响尤其令人关注。表中列出了皮肤摩擦系数的数值结果。绘制了不同控制参数的速度和温度曲线，揭示了溶液的趋势。

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