Stagnation point flow of viscoelastic second grade fluid over a stretching cylinder under the thermal slip and magnetic hydrodynamics effects are studied. The mathematical model has been developed under the assumption of non-Newtonian viscoelastic fluid flow over a stretching cylinder by means of the boundary layer approximations. The developed model further reduced through the similarity transformations and constructs the model of nonlinear ordinary differential equations. The system of nonlinear differential equations is dimensionless and solved through the numerical technique bvp5c methods. The results of the physical parameters are found and interpreted in the form of tables and graphs. The velocity shows that the graph of curves enhances away from the surface when the values material parameter β∗ increase, which means the momentum boundary layer increases for enhancing the material parameter β∗. The temperature gradient reduced due enhancing the values of material parameter β∗ because thermal boundary layer reduced for higher values of material parameter β∗.

中文翻译：

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运动圆柱上二级流体流动的相似性解

研究了热滑移和磁流体动力学效应下粘弹性二级流体在拉伸圆柱体上的驻点流动。该数学模型是在非牛顿粘弹性流体在拉伸圆柱体上流动的假设下通过边界层近似而开发的。所建立的模型通过相似变换进一步简化，构建了非线性常微分方程模型。非线性微分方程组是无量纲的，通过数值技术 bvp5c 方法求解。以表格和图表的形式查找和解释物理参数的结果。速度表明，当值材料参数时，曲线图远离表面增强β*增加，这意味着动量边界层增加以增强材料参数β*. 由于材料参数值的提高，温度梯度减小β*因为材料参数值越高，热边界层越小β*.