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Stagnation point flow and heat transfer over a stretching/shrinking sheet in a viscoelastic fluid with convective boundary condition and partial slip velocity

机译:具有对流边界条件和部分滑移速度的粘弹性流体在拉伸/收缩片上的停滞点流动和传热

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摘要

In this study, the mathematical modeling for the stagnation point flow and heat transfer over a stretching/shrinking surface in a viscoelastic fluid (Walter's liquid-B model) with partial slip velocity is considered. The non-linear partial differential equations are transformed into a system of ordinary differential equations by a similarity transformation before being solved numerically using the Runge-Kutta-Fehlberg method. Numerical solutions are obtained for the surface temperature, temperature gradient at the surface and the skin friction coefficient. The features of the flow and heat transfer characteristics for various values of Prandtl number, the dimensionless viscoelastic parameter, stretching parameter, constant velocity slip parameter and conjugate parameter are analyzed and discussed. It is found that the heat transfer rate is higher for Walter's fluid compared to the classical viscous fluid and the presence of the velocity slip reduces the effects of the viscoelastic parameter on the skin friction coefficient.
机译:在这项研究中,考虑了具有部分滑移速度的粘弹性流体(Walter的B型液体模型)中的拉伸/收缩表面上的滞止点流动和传热的数学模型。在使用Runge-Kutta-Fehlberg方法进行数值求解之前,先通过相似性变换将非线性偏微分方程组转换为常微分方程组。获得了表面温度,表面温度梯度和皮肤摩擦系数的数值解。分析和讨论了各种普朗特数,无量纲粘弹性参数,拉伸参数,等速滑动参数和共轭参数的流动和传热特性。已经发现,与传统的粘性流体相比,沃尔特流体的传热速率更高,并且速度滑移的存在降低了粘弹性参数对皮肤摩擦系数的影响。

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