Purpose

The purpose of this study is to discuss the Darcy–Forchheimer nanoliquid bio-convection flow by stretching cylinder/plate with modified heat and mass fluxes, activation energy and gyrotactic motile microorganism features.

Design/methodology/approach

The proposed flow model is based on flow rate, temperature of nanomaterials, volume fraction of nanoparticles and gyrotactic motile microorganisms. Heat and mass transport of nanoliquid is captured by the usage of popular Buongiorno relation, which allows us to evaluate novel characteristics of thermophoresis diffusion and Brownian movement. Additionally, Wu’s slip (second-order slip) mechanisms with double stratification are incorporated. For numerical and graphical results, the built-in bvp4c technique in computational software MATLAB along with shooting technique is used.

Findings

The influence of key elements is illustrated pictorially. Velocity decays for higher magnitude of first- and second-order velocity slips and bioconvection Rayleigh number. The velocity of fluid has an inverse relation with mixed convection parameter and local inertia coefficient. Temperature field enhances with the increase in estimation of thermal stratification Biot number and radiation parameter. A similar situation for concentration field is observed for mixed convection parameter and concentration relaxation parameter. Microorganism concentration profile decreases for higher values of bioconvection Lewis number and Peclet number. A detail discussion is given to see how the graphical aspects justify the physical ones.

Originality/value

To the best of the authors’ knowledge, original research work is not yet available in existing literature.

中文翻译：

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达西-福希海默流体对流的热对流辐射与吴氏在拉伸圆柱体/平板上的滑动作用下的回旋运动微生物

目的

这项研究的目的是通过拉伸具有改进的热通量和质量通量，活化能和回旋运动型微生物特征的圆柱体/平板，讨论Darcy–Forchheimer纳米液体生物对流。

设计/方法/方法

所提出的流动模型是基于流速，纳米材料的温度，纳米颗粒的体积分数和回转活性微生物。纳米液体的传热和传质是通过使用流行的Buongiorno关系来捕获的，这使我们能够评估热泳扩散和布朗运动的新特征。此外，还引入了具有双重分层的Wu's滑移（二阶滑移）机制。对于数值和图形结果，使用了计算软件MATLAB中的内置bvp4c技术以及射击技术。

发现

图示说明了关键元素的影响。一阶和二阶速度滑移和生物对流瑞利数的幅度较大时，速度会衰减。流体的速度与混合对流参数和局部惯性系数成反比。温度场随着热分层比奥特数和辐射参数估计的增加而增强。对于混合对流参数和浓度弛豫参数，观察到浓度场的类似情况。随着对流路易斯数和派克雷特数的增加，微生物的浓度分布降低。进行了详细讨论，以了解图形方面如何证明物理方面是合理的。

创意/价值

据作者所知，现有文献中尚无原始研究工作。