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Natural Convection of Non-Newtonian Fluid along a Vertical Thin Cylinder using Modified Power-law model

机译:沿着垂直薄圆筒的非牛顿流体的自然对流使用改进的电力法模型

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A study on the natural convection flow of non-Newtonian fluid along a vertical thin cylinder with constant wall temperature using modified power law viscosity model has been done. The basic equations are transformed to non dimensional boundary layer equations and the resulting systems of nonlinear partial differential equations are then solved employing marching order implicit finite difference method. The evolution of the surface shear stress in terms of local skin-friction, the rate of heat transfer in terms of local Nusselt number, velocity and temperature profiles for shear thinning as well as shear-thickening fluid considering the different values of Prandtl number have been focused. For the Newtonian fluids the present numerical results are compared with available published results which show a good agreement indeed. From the results it can be concluded that, at the leading edge, a Newtonian-like solution exists as the shear rate is not large enough to trigger non-Newtonian effects. Non-Newtonian effects can be found when the shear-rate increases beyond a threshold value.
机译:已经完成了使用改进的电力法粘度模型的沿垂直薄圆柱沿垂直薄圆筒的非牛顿流体自然对流流的研究。基本方程被转换为非尺寸边界层方程,然后求解采用行进阶的非线性偏微分方程的所得系统隐含有限差分方法。在局部肌肤摩擦方面的表面剪切应力的演变,在局部露珠数,速度和温度曲线方面的传热速率,用于剪切稀疏以及考虑Prandtl数量的不同值的剪切增稠液专注。对于牛顿流体,将现有数值结果与可用公布的结果进行了比较,表现出良好的一致性。从结果可以得出结论,在前沿,牛顿样解决方案存在,因为剪切速率不足以触发非牛顿效应。当剪切速率超出阈值时,可以找到非牛顿效应。

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