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Computational Analysis to Explore Bioconvective Williamson Nanofluid Non-Darcian Flow over a Convective Cylindrical Surface with Gyrotactic Microorganisms and Activation Energy Aspects

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Abstract

Current study envisions novel investigation about impact of multi-natured nanoparticles on characteristics produced by bioconvective motion of gyrotactic microorganisms in Williamson fluid flow over an enlargeable cylinder. In addition, consideration of physical aspects like viscous dissipation, permeability, activation energy, magnetic field, chemical reaction, and convective boundary constraints jointly also adds the strength and innovative prospect of present communications. In view of its originality, firstly formulation of the problem is constructed in the form of dimensionless ODEs. Numerical simulations are computed by executing shooting method in combination with RK-4 method to attain outcomes. Additionally, a machine learning algorithm based on Levenberg-Marquardt scheme is employed to predict numerical results found from the numerical procedures. Credibility of work is ensured by making comparison with existing studies in restricted sense of the present effort. Results depicting the behavior of associated distributions against flow controlling parameters are interpreted through graphs and tables. Quantities of engineering interest are computed against governing parameters in comparative manner for three different nanoparticles. It is certified that the velocity profile exceeds when Fe3O4 nanoparticles are added whereas temperature, concentration, and motile microorganism’s distributions are optimum in case of (Ag) nanoparticles. It is worthwhile to mention that all associated engineering quantities show contrary behavior with respect to their distributions against addition of respective nanoparticles. It is also recorded that amplification in the magnitude of activation energy elevates concentration distributions whereas reduces the mass flux. Convective boundary constraints employed at the surface of cylinder cause enrichment in temperature and concentration profiles and respective fluxes.

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Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Large Groups Project under grant number RGP2/114/1444.

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Authors and Affiliations

  1. Department of Mechanical Engineering, College of Engineering, Prince Mohammad Bin Fahd University, 31952, Al Khobar, Saudi Arabia

    S. Bilal

  2. Department of Mathematics, AIR University, Sector E-9, Islamabad, 44000, Pakistan

    Asadullah

  3. Department of Mathematics, College of Sciences, King Khalid University, 61413, Abha, Saudi Arabia

    M. Y. Malik

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Contributions

All the authors have extensively contributed in the manuscript. Details of authors contribution are mentioned below. S. Bilal (Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Writing original draft, Writing-review and editing) Asadullah (Data curation, Investigation, Methodology, Validation, Visualization, Writing original draft, Writing-review and editing). M.Y. Malik (Formal analysis, Investigation, Visualization, Writing original draft, Writing-review and editing).

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Correspondence to Asadullah.

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Bilal, S., Asadullah & Malik, M.Y. Computational Analysis to Explore Bioconvective Williamson Nanofluid Non-Darcian Flow over a Convective Cylindrical Surface with Gyrotactic Microorganisms and Activation Energy Aspects. BioNanoSci. (2024). https://doi.org/10.1007/s12668-024-01437-6

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