The investigation on the flow of non-Newtonian (Casson) fluid is made between parallel discs, executing in-plane motion in different manners. The fluid motion is induced due to upper radially stretching or shrinking disc at the rate $a$ and lower rotating disc at an angular velocity $\Omega$, with plate separation $h$. The nondimensional Navier–Stokes (NS) equations are reduced to coupled ordinary differential equations (ODEs) by using a suitable similarity reduction. The effects of the Casson parameter, Reynolds number and rotation parameter are discussed. The numerical solutions of radial pressure gradient and shear stresses are found and compared with low $R$ series solutions and large $R$ asymptotic manners. Velocity profiles indicate the regions of zero azimuthal and radial shear stresses which are also discussed in detail. This paper represents the first study of non-Newtonian (NN) fluid flow in this geometry i.e. flow between parallel discs in which both execute in-plane motion in different manners.

对非牛顿（Casson）流体流动的研究是在平行盘之间进行的，它们以不同的方式执行平面内运动。流体运动是由于圆盘上方的径向拉伸或收缩导致$\mathrm{一种}$ 和较低的转盘以角速度 $\Omega$，带板分离 $H$。通过使用适当的相似度约简，将无量纲的Navier-Stokes（NS）方程简化为耦合的常微分方程（ODE）。讨论了卡森参数，雷诺数和旋转参数的影响。找到径向压力梯度和切应力的数值解并将其与低$\mathrm{[R}$ 系列解决方案和大型 $\mathrm{[R}$渐近的态度。速度曲线表示零方位角和径向切应力的区域，这些也将详细讨论。本文代表了对这种几何形状的非牛顿（NN）流体流动的首次研究，即在平行盘之间的流动，其中两个盘均以不同方式执行平面内运动。