The rotating flow of two fluids having an interface separating the viscous fluid and magnetite-water ferrofluid is studied. The fluids are non-miscible and streaming in an inclined channel. The walls of the channel are smooth enough to examine the slip effects on the flow. The channel is subjected to the transverse magnetic field and thermal radiations. To achieve the flow equations governing the flow phenomena a fully developed flow is taken into consideration. The resultant ordinary differential equations (ODEs) are converted into non-dimensional forms which are coupled and non-linear. Approximate series solutions for flow fields are obtained separately by the aid of the Perturbation technique and then matched at the interface region via relevant matching conditions. The results are drawn graphically to comprehend the effects of various essential parameters on temperature and flow fields. A decreasing response in the primary velocity profile is observed with a rise in rotation parameter, ferroparticles volume fraction and Hartmann number while it increases with a rise in slip parameters. The secondary velocity shows an oscillating behavior for rotation parameter whilst magnetic flux and slip parameters increase the secondary profiles. The primary and secondary velocities will decrease throughout the channel if the fluid in the lower layer is more viscous relative to the upper one. It can also be noticed that the radiation decreases the influence of natural convection by decreasing the temperature difference and temperature profile increases with a rise in thermal conductivity (TC).

研究了具有分离粘性流体和磁铁矿-水铁磁流体的界面的两种流体的旋转流。流体不可混溶，并在倾斜的通道中流动。通道壁足够光滑，可以检查流上的滑移效应。通道承受横向磁场和热辐射。为了获得控制流动现象的流动方程，必须考虑充分发展的流动。所得的常微分方程（ODE）转换为耦合和非线性的无量纲形式。借助于扰动技术分别获得了流场的近似级数解，然后通过相关的匹配条件在界面区域进行了匹配。以图形方式绘制结果，以了解各种基本参数对温度和流场的影响。随着旋转参数，铁颗粒体积分数和哈特曼数的增加，初级速度曲线的响应减小，而随着滑移参数的增加，响应速度减小。次级速度显示出旋转参数的振荡行为，而磁通量和滑移参数则增加了次级轮廓。如果下层的流体相对于上层的粘性更大，则整个通道的一次和二次速度将降低。还应注意，辐射通过减小温度差来减小自然对流的影响，并且温度曲线随导热系数（TC）的增加而增加。