Abstract The aim of this paper is to analyze the behavior of oxytactic microorganisms and thermo-bioconvection nanofluid flow through a Riga plate with a Darcy–Brinkman–Forchheimer porous medium. The Riga plate is composed of electrodes and magnets that are placed on a plane. The fluid is electrically conducting, and the Lorentz force evolves exponentially along the vertical direction. The governing equations are formulated with the help of dimensionless variables. With the aid of a shooting scheme, the numerical results are presented in graphs and tables. It is noted that the modified Hartmann number boosts the velocity profile when it is positive, but lowers these values when it is negative. The density-based Rayleigh number and the nanoparticle concentration enhance the fluid velocity. The thermal Rayleigh number and the Darcy–Forchheimer number decrease the velocity. An increase in Lewis number causes a remarkable decline in the oxytactic microorganism profile. Several useful results for these flows with oxytactic microorganisms through Darcy–Brinkman–Forchheimer porous media are presented in this paper.

中文翻译：

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Darcy-Brinkman-Forchheimer 介质在多孔 Riga 板上的催产微生物和热生物对流纳米流体流动

摘要 本文的目的是分析催产微生物和热生物对流纳米流体流过具有 Darcy-Brinkman-Forchheimer 多孔介质的 Riga 板的行为。里加板由放置在平面上的电极和磁铁组成。流体是导电的，洛伦兹力沿垂直方向呈指数变化。控制方程是在无量纲变量的帮助下制定的。借助拍摄方案，数值结果以图表形式呈现。值得注意的是，修正的哈特曼数在为正时会提高速度分布，但在为负时会降低这些值。基于密度的瑞利数和纳米颗粒浓度提高了流体速度。热瑞利数和达西-福希海默数会降低速度。路易斯数的增加导致催产微生物谱的显着下降。本文介绍了催产微生物通过 Darcy-Brinkman-Forchheimer 多孔介质流动的几个有用结果。