The present study presents the convective flow of an electrically conducting fluid in vertical microannulus formed by two concentric cylinders in the presence of imposed radial magnetic field and induced magnetic field. The governing equations of the motion are a set of simultaneous ordinary differential equations, and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. Results for various flows characteristic are presented through graphs and tables delineating the effect of various parameters characterizing the flow. Furthermore, it is observed that the reverse flow near the inner surface of outer cylinder is controlled by selecting suitable values of Knudsen number, fluid–wall interaction parameter and radius ratio.

中文翻译：

---

径向磁场存在下感应磁场对垂直微环中水磁混合对流的作用

本研究提出了在存在施加的径向磁场和感应磁场的情况下，导电流体在由两个同心圆柱形成的垂直微环中的对流。运动的控制方程是一组联立的常微分方程，并且已针对速度场，感应磁场和温度场获得了它们的无量纲形式的精确解。还获得了感应电流密度和皮肤摩擦的表达式。通过图形和表格显示了各种流量特性的结果，这些图和表格描述了表征流量的各种参数的效果。此外，可以观察到，通过选择合适的克努森数值可以控制外圆柱内表面附近的逆流，