In this research, the hydromagnetic natural convection of an incompressible fluid with point heat source by considering the influence of Hall current and induced magnetic field between infinite vertical walls is studied. The Laplace transform procedure is utilized to determine the analytical solutions of the acquired mathematical model with the wavelet function. With the derived solution of velocity, induced magnetic field, temperature field, and induced current density, the flow character is investigated with the influence of the physical parameters (namely Hall current, Hartmann number, and point heat source) for the presented boundary conditions. Also, the skin friction and volumetric flow rate are derived through the velocity expression. Numerical and graphical results are introduced to formalize the solution of the model. The valuable result from the investigation is that an increase in the length of the point heat source leads to enhance both components of induced current density, induced magnetic field, and primary velocity profiles. Moreover, it is noticeable that an enhancement in the Hall current has a reverse connection with both components of the induced current density, induced magnetic field, while the direct connection with the primary velocity component. There are numerous engineering applications such as the metal cutting, grinding, welding, laser hardening of metals, and many others in which the calculation of temperature field is modeled as a problem involving a point heat source.

在这项研究中，通过考虑霍尔电流和无限垂直壁之间的感应磁场的影响，研究了具有点热源的不可压缩流体的水磁自然对流。拉普拉斯变换程序用于确定具有小波函数的数学模型的解析解。利用导出的速度，感应磁场，温度场和感应电流密度的解，在给出的边界条件下，在物理参数（即霍尔电流，哈特曼数和点热源）的影响下研究了流动特性。同样，通过速度表达式导出皮肤摩擦和体积流量。引入了数值和图形结果以形式化模型的求解。研究的重要结果是，点热源长度的增加导致感应电流密度，感应磁场和一次速度分布的两个分量都增加。此外，值得注意的是，霍尔电流的增强与感应电流密度，感应磁场的两个分量都有反向关系，而与初级速度分量有直接关系。有许多工程应用程序，例如金属切割，磨削，焊接，金属的激光硬化，以及许多其他应用程序，其中将温度场的计算建模为涉及点热源的问题。和初级速度曲线。此外，值得注意的是，霍尔电流的增强与感应电流密度，感应磁场的两个分量都有反向关系，而与初级速度分量有直接关系。有许多工程应用程序，例如金属切割，磨削，焊接，金属的激光硬化，以及许多其他应用程序，其中将温度场的计算建模为涉及点热源的问题。和初级速度曲线。此外，值得注意的是，霍尔电流的增强与感应电流密度，感应磁场的两个分量都有反向关系，而与初级速度分量有直接关系。有许多工程应用程序，例如金属切割，磨削，焊接，金属的激光硬化，以及许多其他应用程序，其中将温度场的计算建模为涉及点热源的问题。