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Investigation of Cattaneo–Christov Double Diffusions Theory in Bioconvective Slip Flow of Radiated Magneto-Cross-Nanomaterial Over Stretching Cylinder/Plate with Activation Energy

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Abstract

The present exploration examines the Cattaneo–Christov double diffusions theory in magneto-Cross nanomaterial flow conveying gyrotactic microorganisms over an extending horizontal cylinder/plate under the aspects of velocity slippage, and activation energy with chemically reacting features. The phenomena of thermophoresis, Brownian movement, and thermal radiation are also incorporated. Utilization of the adopted similarity transformations makes it convenient to transform our governing nonlinear higher-order coupled PDEs into ODEs which are further solved numerically by adopting well-known MATLAB function bvp4c. The quantitative outcomes of emerging thermo-physical and geometrical parameters on the associated non-dimensional profiles of interest are anatomized via requisite graphs and numerically erected tabular forms. It is detected that fluid velocity components decline due to upgraded magnetic field and velocity slippage parameter. When thermal time relaxation parameter varies from 0.0 to 0.9, Nusselt number augments about \(22.02\%\) for cylindrical surface and about \(23.61\%\) for plate surface. Likewise, with the same variations in thermal time relaxation parameter Sherwood number increases about \(17.32\%\) for cylindrical surface and about \(18.24\%\) for plate surface. Moreover, comparative exploration of the emerging flow features over a flat plate, and cylindrical surface is reported. It is visualized that flat plate offers less temperature than cylindrical surface when flow occurs. The results would offer primary guidance for many industrial, biological, medical and ecological challenges, for instance, bio-fuel, bio-diesel, ethanol, biological tissues, bio-fertilizers, bio-micro-systems, reproduction, infection, and marine life ecosystems, etc.

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Acknowledgements

The authors are very grateful to anonymous reviewers for their fruitful comments and constructive suggestions to improve our manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Bajkul Milani Mahavidyalaya, Purba Medinipur, 721 655, India

    Asgar Ali

  2. Department of Mathematics, Triveni Devi Bhalotia College, Paschim Bardhaman, 713 347, India

    Soumitra Sarkar

  3. Department of Mathematics, University of Gour Banga, Malda, 732 103, India

    Sanatan Das

  4. Department of Applied Mathematics, Vidyasagar University, Midnapore, 721 102, India

    Rabindra Nath Jana

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  1. Asgar Ali
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  2. Soumitra Sarkar
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Contributions

A. Ali: Conceptualization, Methodology, Software, Visualization, Investigation, Writing–original draft, review & editing. S. Sarkar: Formal analysis, Investigation, Writing–original draft. S. Das: Conceptualization, Investigation, Writing–review & editing, Supervision. R.N. Jana: Conceptualization, Methodology, Investigation, Writing–review & editing, Supervision.

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Ali, A., Sarkar, S., Das, S. et al. Investigation of Cattaneo–Christov Double Diffusions Theory in Bioconvective Slip Flow of Radiated Magneto-Cross-Nanomaterial Over Stretching Cylinder/Plate with Activation Energy. Int. J. Appl. Comput. Math 7, 208 (2021). https://doi.org/10.1007/s40819-021-01144-w

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