This article deals with heat transfer analysis on the Electro-magnetohydrodynamic Carreau fluid flow through a pair of rectangular plates. A Darcy–Brinkman–Forchheimer medium is considered for physical modeling. The flow is induced due to the Lorentz force, which occurs owing to the presence of an extrinsic imposed magnetic and electric field. The solutions are obtained with the help of numerical and semi-analytical/numerical schemes. A differential transform method (DTM) is employed to resolve the nonlinear coupled differential equations. The obtained solutions are discussed and plotted against all the physical parameters, and the Nusselt number is also addressed with the help of the table. The present outcomes are also plotted for the Newtonian fluid model as a particular case. The comparison of DTM is presented with a numerical shooting method for the Nusselt number. It is concluded from the analogy that the DTM method is very adaptive and stable to solve the nonlinear differential equations.

本文讨论了通过一对矩形板的电磁流体动力学Carreau流体的传热分析。考虑使用Darcy–Brinkman–Forchheimer介质进行物理建模。流动是由于洛伦兹力而引起的，洛伦兹力是由于存在外在施加的磁场和电场而产生的。通过数值和半解析/数值方案获得解决方案。微分变换方法（DTM）用于解决非线性耦合的微分方程。对获得的解决方案进行了讨论，并针对所有物理参数进行了绘制，并且借助该表还可以解决Nusselt数。对于特定情况，还绘制了牛顿流体模型的当前结果。用Nusselt数的数值拍摄方法对DTM进行了比较。从类推可以得出结论，DTM方法对于求解非线性微分方程是非常自适应和稳定的。