Present paper concentrates on viscous heating effects in fluid flow along a stretchable rotating surface in a Reiner-Rivlin fluid. Heating process of the disk is based on a quadratic surface temperature distribution. After invoking boundary layer assumptions, a self-similarity solution is assumed resulting in a coupled non-linear system. This system is evaluated numerically by a collocation method based MATLAB package bvp4c. Computational results reveal a marked formation of boundary layer provided that cross-viscosity coefficient is sufficiently large. Asymptotic solutions (for large axial distance) are derived by computing eigenvalues of the system at an equilibrium point. Some associated concepts such as moment coefficient (measuring the resisting torque), radial wall shear, disk pumping efficiency and heat transfer rate are critically scrutinized in the light of new physical attributes namely cross-viscosity coefficient and radial stretching in this research. Furthermore, second law of thermodynamics is utilized to investigate entropy production rate in the boundary layer. A noteworthy finding is that moment coefficient in von Kármán flow is substantially lowered when fluid exhibits non-Newtonian effects. Entrained flow is predicted to accelerate whenever radial stretching is considered.

本论文集中研究粘性流体在沿Reiner-Rivlin流体中可拉伸旋转表面流动的流体中的加热效应。盘的加热过程基于二次表面温度分布。调用边界层假设后，假设采用自相似解，从而导致耦合非线性系统。该系统是通过基于MATLAB软件包bvp4c的搭配方法进行数值评估的。计算结果表明，只要交叉粘度系数足够大，边界层就会明显形成。渐近解（对于较大的轴向距离）是通过在平衡点计算系统的特征值而得出的。一些相关的概念，例如力矩系数（测量抵抗扭矩），径向墙剪力，根据这项研究的新物理特性，即交叉粘度系数和径向拉伸，对盘式泵的效率和传热速率进行了严格的审查。此外，利用热力学第二定律研究边界层中的熵产率。值得注意的发现是，当流体表现出非牛顿效应时，vonKármán流中的弯矩系数会大大降低。每当考虑径向拉伸时，预计夹带流量将加速。值得注意的发现是，当流体表现出非牛顿效应时，vonKármán流中的弯矩系数会大大降低。每当考虑径向拉伸时，预计夹带流量将加速。值得注意的发现是，当流体表现出非牛顿效应时，vonKármán流中的弯矩系数会大大降低。每当考虑径向拉伸时，预计夹带流量将加速。