In the absence of a proper visualizing tool to present the local intensity of magnetic force during magnetohydrodynamic (MHD) convection, the understanding of the local behavior of the magnetic force interacting with a convective flow is not possible. To address the same, this work presents a new visualization tool to explore the local action of the magnetic force during MHD convection, in-depth. The necessity of this visualization tool is illustrated using three typical thermal cavities undergoing MHD convection over a range of parametric variations. From the fundamentals of mechanics and the coupling between a uniform magnetic field and convective velocity, the distribution of the magnetic force is varied in the cavities, which is visualized as a force vector using vector plots. The coupled transports of fluid flow and heat transfer are investigated using the streamlines, isotherms, heatlines, and this newly developed tool of magnetic force vectors. The study is performed considering an incompressible laminar flow within the validity of the Boussinesq approximation using an indigenous code. The outcomes of the study reveal that the implementation of this visualization technique for the magnetic force can properly explain the inner-dynamics of MHD convection in different regions of the thermal cavities. The local strength of the magnetic force strongly depends upon local flow fields and parametric values. The different patterns of the local behaviors of heat and fluid flow dynamics are reported against the pertinent parameters along with the global behavior of heat transfer. The present concept of magnetic force visualization can meaningfully be implemented in different multiphysical areas of magnetohydrodynamic convection involving ferrofluid, nanofluids, porous media, plasma, electrolytes, heat generation, thermal radiation, hybrid nanofluids, bioconvection, biomedical science, liquid metals, material processing, geophysical or astrophysical plasma process.

在没有合适的可视化工具来呈现磁流体动力学（MHD）对流过程中磁力的局部强度的情况下，无法理解与对流流动相互作用的磁力的局部行为。为了解决这个问题，这项工作提出了一种新的可视化工具，以深入探索MHD对流期间磁力的局部作用。使用三个典型的热腔在一系列参数变化范围内进行MHD对流来说明这种可视化工具的必要性。从力学原理以及均匀磁场与对流速度之间的耦合关系来看，空腔中的磁力分布是变化的，可以使用矢量图将其可视化为力矢量。使用流线，等温线，热线以及这种新开发的磁力矢量工具，研究了流体流动与热传递的耦合传输。考虑使用本地代码在Boussinesq逼近范围内的不可压缩层流，进行了研究。研究结果表明，这种针对磁力的可视化技术的实施可以正确解释MHD对流在热腔不同区域的内部动力学。磁力的局部强度在很大程度上取决于局部流场和参数值。根据相关参数以及传热的整体行为，报告了热和流体流动动力学的局部行为的不同模式。