In this paper, the heat transfer characteristics associated with the impact of combined electromagnetohydrodynamic flow in a microchannel with the regular wavy rough wall through a porous medium have been investigated. The approximate analytical solutions for the velocity and potential distribution are obtained using the perturbation technique. To study the thermal characteristics, the analytical solution for temperature distribution in the presence of Joule heating is derived. Impressive results are obtained to examine the behavior of velocity and temperature due to the rough wavy wall in the presence of applied magnetic field and transverse electric field. The significant effects on velocity and heat transport within the corrugated microchannel for various combination of pertinent parameters such as Hartmann number, Darcy number and transverse electric field are elaborated. Furthermore, variation of the mean velocity and the rate of heat transfer characteristic due to wavy roughness and the magnetic field has been studied. The study shows that the mean velocity decreases with Darcy number and has enhancing effect on applied magnetic field, whereas the trend is reversed in the case of applied electric field. The rate of heat transfer increases with an increase in Joule heating effects, Hartmann number and permeability of the porous medium.

在本文中，研究了与规则的波浪形粗糙壁通过多孔介质的微通道中组合的电磁流体动力流的影响相关的传热特性。使用扰动技术获得了速度和电势分布的近似解析解。为了研究热特性，推导了在焦耳加热条件下温度分布的解析解。在施加磁场和横向电场的情况下，获得了令人印象深刻的结果，以检查由于粗糙的波浪壁而引起的速度和温度的行为。对于相关参数（例如哈特曼数，详细阐述了达西数和横向电场。此外，研究了由于波状粗糙度和磁场引起的平均速度和传热特性的变化。研究表明，平均速度随着达西数的增加而减小，并且对外加磁场有增强作用，而外加电场的趋势则相反。传热速率随着焦耳热效应，哈特曼数和多孔介质渗透率的增加而增加。而在施加电场的情况下，这种趋势是相反的。传热速率随着焦耳热效应，哈特曼数和多孔介质渗透率的增加而增加。而在施加电场的情况下，这种趋势是相反的。传热速率随着焦耳热效应，哈特曼数和多孔介质渗透率的增加而增加。