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Hydromagnetic flow and heat transfer of a non-Newtonian power law fluid over a vertical stretching sheet

机译:非牛顿幂定律流体在垂直拉伸片上的氢磁流和热传递

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摘要

We consider the steady state, viscous, incompressible two-dimensional magneto hydrodynamic flow of an electrically conducting power law fluid over a vertical stretching sheet. The stretching of the surface velocity and the prescribed surface temperature are assumed to vary linearly with the distance from the slit. The coupled partial differential equations governing the flow and heat transfer are transformed into non-linear coupled ordinary differential equations by a similarity transformation. The transformed boundary layer equations are solved numerically by Keller-Box method for several sets of values of the parameters governing the flow and heat transfer. The flow and heat transfer characteristics are analysed and discussed for different values of the parameters. We observe that the local skin friction coefficient and the local Nusselt number decrease as the magnetic parameter Mn increase for fixed value of the buoyancy parameter λ. The results obtained reveal many interesting behaviors that warrant further study of the equations related to non-Newtonian fluid phenomena, especially the shear-thinning phenomena. Shear thinning reduces the wall shear stress.
机译:我们考虑在垂直拉伸片上的导电幂律流体的稳态,粘性,不可压缩的二维磁流体动力流。假定表面速度的拉伸和规定的表面温度随距狭缝的距离线性变化。通过相似变换将控制流动和传热的耦合偏微分方程转换为非线性耦合常微分方程。转换后的边界层方程式通过Keller-Box方法以数值方式求解了控制流动和传热的几组参数值。分析和讨论了不同参数值的流动和传热特性。我们观察到,对于浮力参数λ的固定值,随着磁参数Mn的增加,局部皮肤摩擦系数和局部Nusselt数减小。获得的结果揭示了许多有趣的行为,值得进一步研究与非牛顿流体现象有关的方程,尤其是剪切稀化现象。剪切变薄可减少壁面剪切应力。

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