In this study, the effect of magnetic field strength and its direction are considered on square lid-driven cavity flow. The whole range of applicable magnetic field strength which is used in practice up to now (0 to 10 Tesla) is accomplished in this research. The governing equations, including non-linear conservative equations of continuity, momentum and magnetic field equations are solved numerically. Continuity and momentum equations are solved by the finite volume method using SIMPLE algorithm, where the finite difference method is used in the magnetic field equation solving. In this research the effect of magnetic field on the velocity distribution, streamlines and vortex flow show that the vortices of the cavity shrink (decreases) up to 0.01 T where the uniform and vertical magnetic field applied from the bottom surface of the square cavity. For the magnetic field of 0.01 T, vortices in the cavity flow disappear. Higher values of the magnetic field create larger vortices. It was also concluded that the magnetic field has a strong effect on vortex formation, its size and location; therefore it can be used to control the vortex dynamics in a contactless way.

在这项研究中，考虑了磁场强度及其方向对方盖驱动腔流动的影响。这项研究完成了迄今为止在实践中使用的整个适用磁场强度范围（0至10特斯拉）。数值控制方程包括连续性的非线性保守方程，动量方程和磁场方程。连续性和动量方程是使用SIMPLE算法通过有限体积法求解的，其中有限差分法用于磁场方程的求解。在这项研究中，磁场对速度分布，流线和涡流的影响表明，腔的涡流会收缩（减小）至0.01 T，这是从方形腔的底部表面施加均匀且垂直的磁场的情况。对于0.01 T的磁场，空腔流中的涡旋消失。较高的磁场值会产生较大的涡旋。还得出结论，磁场对涡旋形成，涡旋的大小和位置具有强烈的影响。因此，它可用于以非接触方式控制涡旋动力学。