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Second-grade bioconvection flow of a nanofluid with slip convective boundary conditions

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Abstract

Controlling the heat and mass transfer rates is critical in a wide range of industrial processes because it sometimes determines the quality of the end-product and prevents run-away reactions. In an ongoing basis, a variety of techniques are being introduced, tested and improved to achieve this goal. Among these are the use of nanofluids and microbes. The addition of microbes leads to the rise of a phenomenon known as bioconvection. Although bioconvection has been used for a while now, some of its aspects like the Brownian motion and thermophoresis force on the microbes have been ignored in the past. The current study took into account the microbes’ Brownian motion and thermophoresis parameters, which were previously overlooked by many researchers, to understand their contribution to heat and mass transfer from a theoretical perspective. To gain insight into the new paradigm’s effect, a system of differential equations was formulated and solved using the spectral quasilinearisation method. Our findings revealed that including Brownian motion and thermophoresis parameters was critical in understanding heat and mass transfer in bioconvection models. The microbes’ Brownian motion raises the temperature while simultaneously decreasing the solute and microbe concentrations. The thermophoresis parameter raises the temperature, concentration of solutes and concentration of microbes in the boundary layer.

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Authors and Affiliations

  1. Department of Applied Mathematics, National University of Science and Technology, P.O. Box AC 939, Ascot Bulawayo, Zimbabwe

    Mlamuli Dhlamini & Kukhanya Zondo

  2. Department of Applied Mathematics, Maulana Abul Kalam Azad University of Technology, Haringhata, 741 249, India

    Hiranmoy Mondal

  3. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Pietermaritzburg, 3209, South Africa

    Precious Sibanda

  4. Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Private Bag 16, Palapye, Botswana

    Sachin Shaw

  5. Department of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni, Swaziland

    Sandile S Motsa

  6. Department of Mathematical Sciences, University of South Africa, Florida, 1709, South Africa

    Musawenkhosi P Mkhatshwa

  7. Department of Statistics and Mathematics, Bindura University, P. O. 1020, Bindura, Zimbabwe

    Mangwiro Magodora

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  1. Mlamuli Dhlamini
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  2. Kukhanya Zondo
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Correspondence to Hiranmoy Mondal.

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Dhlamini, M., Zondo, K., Mondal, H. et al. Second-grade bioconvection flow of a nanofluid with slip convective boundary conditions. Pramana - J Phys 97, 197 (2023). https://doi.org/10.1007/s12043-023-02676-0

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  • DOI: https://doi.org/10.1007/s12043-023-02676-0

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