This article communicates Cattaneo-Christov heat and mass flux theory in the flow of Maxwell nanofluid and gyrotactic microorganisms towards a spinning disk with the effects of Hall current, and Darcy porous medium. Entropy generation is also taken into account in the presence of Brownian motion, thermophoresis, thermal radiation, heat source/sink, and chemical reaction. Non-dimensional equations are derived for the velocities, temperature, nanoparticles concentration, and motile gyrotactic microorganisms concentration with the help of similarity transformations. Homotopy analysis method (HAM) is used to obtain the solution. Graphs and a table are plotted to show the effects of physical parameters. Numerical computations are given to analyze the values of skin friction coefficients which present a nice agreement with the published results.

本文介绍了麦克斯韦纳米流体和回旋微生物流向具有霍尔电流和达西多孔介质影响的旋转圆盘的 Cattaneo-Christov 热和质量通量理论。在存在布朗运动、热泳、热辐射、热源/汇和化学反应的情况下，也考虑了熵的产生。在相似变换的帮助下，导出了速度、温度、纳米粒子浓度和活动旋回微生物浓度的无量纲方程。同伦分析法（HAM）用于获得解。绘制图形和表格以显示物理参数的影响。给出了数值计算来分析皮肤摩擦系数的值，这些值与已发表的结果非常吻合。