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Flow of viscous fluid along a nonlinearly stretching curved surface

机译:粘性流体沿非线性拉伸曲面的流动

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This paper focuses on the flow of viscous fluid over a curved surface stretching with nonlinear power-law velocity. The boundary layer equations are transformed into ordinary differential equations using suitable non-dimensional transformations. These equations are solved numerically using shooting and Runge-Kutta (RK) methods. The impact of non-dimensional radius of curvature and power-law indices on the velocity field, the pressure and the skin friction coefficient are investigated. The results deduced for linear stretching are compared with the published work to validate the numerical procedure. The important findings are: (a) Slight variation of the curvature of the stretching sheet increases the velocity and the skin friction coefficient significantly. (b) The nonlinearity of the stretching velocity increases the skin friction. (c) The results for linear stretching and the flat surface are the special cases of this problem.
机译:本文着重研究粘性流体在具有非线性幂律速度的曲面上的流动。使用合适的无量纲转换将边界层方程转换为常微分方程。使用射击和龙格-库塔(RK)方法对这些方程进行数值求解。研究了无量纲曲率半径和幂律指数对速度场,压力和皮肤摩擦系数的影响。将线性拉伸得出的结果与已发表的工作进行比较,以验证数值程序。重要发现是:(a)拉伸片曲率的轻微变化显着增加了速度和皮肤摩擦系数。 (b)拉伸速度的非线性会增加皮肤摩擦。 (c)线性拉伸和平坦表面的结果是此问题的特例。

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