The mathematical model of hydrodynamic dispersion through a porous medium is developed in the presence of transversely applied magnetic fields and axial harmonic pressure gradient. The solute introduce into the flow is experienced a first-order chemical reaction with flowing liquid. The dispersion coefficient is numerically determined using Aris’s moment equation of solute concentration. The numerical technique employed here is a finite difference implicit scheme. Dispersion coefficient behavior with Darcy number, Hartmann number and bulk flow reaction parameter is investigated. This study highlighted that the dependency of Hartmann number and Darcy number on dispersion shows different natures in different ranges of these parameters.

在存在横向施加的磁场和轴向谐波压力梯度的情况下，建立了通过多孔介质的流体动力扩散的数学模型。引入流中的溶质与流动的液体发生一级化学反应。弥散系数是使用溶质浓度的Aris矩方程数值确定的。这里采用的数值技术是有限差分隐式格式。研究了具有达西数，哈特曼数和本体反应参数的分散系数行为。这项研究强调，哈特曼数和达西数对色散的依赖性在这些参数的不同范围内显示出不同的性质。