The unsteady flow of the ferrofluid between two rotating and contracting disks has been investigated in the presence of a uniform magnetic field. A similarity transformation is used to convert the governing partial differential equations into a set of nonlinear ordinary differential equations. The transformed system is then solved numerically through mathematical modelling in COMSOL Multiphysics in a framework of the finite element method. Effect of shrinking of the disks, magnetisation force, injection parameter, rotation of the disk, variation in the temperature of the bottom disk, Prandtl number and Eckert number are studied on the radial velocity, tangential velocity, axial velocity and temperature distributions. The error in the previous mathematical model for rotational flow is also rectified in the present model.

在均匀磁场存在下，已经研究了铁磁流体在两个旋转和收缩盘之间的不稳定流动。相似变换用于将控制性偏微分方程转换为一组非线性常微分方程。然后，在有限元方法的框架内，通过COMSOL Multiphysics中的数学建模对转换后的系统进行数值求解。研究了盘的收缩，磁化力，注入参数，盘的旋转，底盘温度的变化，普朗特数和埃克特数对径向速度，切向速度，轴向速度和温度分布的影响。先前的旋转流数学模型中的误差也在本模型中得到了纠正。