In this article, an investigation of the thermal and solutal energy transport in the 3 D flow of Maxwell nanofluid through a porous medium under the influence of the magnetic field is performed. The heat generation source and chemical reaction are also taken in account as a controlling agent for the heat and mass transport in the Maxwell liquid. A novel idea of Cattaneo-Christov theory and Buongiorno model for nanofluid is employed under the impact of Joule heating for the present analysis. The governing partial differential equations (PDEs) are transformed into a non-linear system of ordinary differential equations (ODEs) by using flow similarities. The solution of similar ODEs is constructed through a well known semi-analytical technique which is the homotopy analysis method. The results of the investigation are explored in the form of graphs. It is observed that higher values of magnetic field decline the flow field. The temperature and concentration distributions decrease with the higher magnitude of thermal and solutal relaxation time phenomena, respectively. Moreover, the temperature field enhances when the Brownian motion of nanoparticles increases in flow while the concentration profile decreases. Also, it is found that the increase in resistive heating boosts up the thermal energy transport in the fluid motion.

在本文中，对磁场作用下麦克斯韦纳米流体3D流通过多孔介质的热能和溶能传输进行了研究。还考虑了热产生源和化学反应作为麦克斯韦液体中热量和质量传输的控制剂。在焦耳加热的影响下，采用了Cattaneo-Christov理论和Buongiorno纳米流体模型的新思想进行了本分析。通过使用流动相似性，将支配的偏微分方程（PDE）转换为一个常微分方程（ODE）的非线性系统。相似的ODE的解决方案是通过同构分析方法即众所周知的半分析技术构建的。调查结果以图表的形式进行探讨。可以看出，较高的磁场值会降低流场。温度和浓度分布分别随着热弛豫时间和溶液弛豫时间现象的增加而降低。此外，当纳米粒子的布朗运动在流量增加而浓度分布减小时，温度场会增强。而且，发现电阻加热的增加促进了流体运动中的热能传输。