This research features one parameter family of solutions representing rotationally symmetric flow of non-Newtonian fluid obeying Reiner-Rivlin model. Such flows take place over a revolving plane permeable surface through origin such that fluid at infinity also undergoes uniform rotation about the vertical axis. Heat transfer accompanied with viscous heating effect is also analyzed. A similarity solution is proposed that results into a coupled non-linear system with four unknowns. Boundary layer structure is characterized by a parameter $\alpha$ that compares angular velocity of external flow with that of the rotating surface. Solutions are developed by a well-known package bvp4c of MATLAB for full range of $\alpha$. Flow pattern for different choices of $\alpha$ is scrutinized by computing both 2 D and 3 D streamlines. It is further noted that value of suction velocity is important with regards to the sign of axial velocity component. Boundary layer suppresses considerably whenever the surface is permeable. For sufficiently high suction velocity with $\alpha >1$, entire fluid undergoes rigid body rotation. In no suction case, axially upward flow accelerates for increasing values of parameter $\alpha$ in the range $\alpha >1$, whereas opposite trend is apparent in the case $0\le \alpha <1$. Results for normalized wall shear and Nusselt number are scrutinized for various choices of embedded parameters.

这项研究的特点是一个解的参数族，代表非牛顿流体的旋转对称流动，遵循 Reiner-Rivlin 模型。这种流动发生在通过原点的旋转平面可渗透表面上，使得无限远处的流体也围绕垂直轴进行均匀旋转。还分析了伴随粘性热效应的传热。提出了一种相似性解决方案，该解决方案导致具有四个未知数的耦合非线性系统。边界层结构的特点是一个参数$\alpha$将外部流动的角速度与旋转表面的角速度进行比较。解决方案由著名的MATLAB软件包bvp4c开发，适用于全系列$\alpha$. 不同选择的流型$\alpha$通过计算 2D 和 3D 流线来仔细检查。还应注意，吸入速度的值对于轴向速度分量的符号很重要。只要表面是可渗透的，边界层就会显着抑制。对于足够高的吸入速度，$\alpha >1$，整个流体经历刚体旋转。在没有吸入的情况下，轴向向上的流动会随着参数值的增加而加速$\alpha$ 在范围中 $\alpha >1$，而在这种情况下，相反的趋势很明显 $0\le \alpha <1$. 针对各种嵌入参数的选择，仔细检查归一化壁剪切和努塞尔数的结果。