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Bioconvection in a Convectional Nanofluid Flow Containing Gyrotactic Microorganisms over an Isothermal Vertical Cone Embedded in a Porous Surface with Chemical Reactive Species

  • Research Article-Mechanical Engineering
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Abstract

In this examination, a mathematical model is developed for Darcy free convection with reference to an isothermal vertical cone along with fixed apex half angle, pointing downward in a nanofluid-saturated porous medium. The aim of this methodology is to offer another sort of primary fluid containing nanoparticles and gyrotactic microorganism’s consistence of permeable medium, chemical reaction alongside convective boundary circumstance. The model presents design rules for improvement of imperative fabrication of fertilizer and polymer substance. The present model includes the gyrotactic microorganisms alongside nanoparticles, and cone is dependent on concentration of nanoparticles as well as density of motile microorganisms. Two important impacts Brownian motion as well as thermophoresis are also included in the present model for nanofluids. Reduced system of nonlinear differential equations is derived from governing partial differential of the present flow by using usual transformations along with Oberbeck–Boussinesq approximation. After that, this reduced system is solved numerically with the use of fifth-order Runge–Kutta method in conjunction with the shooting technique. Relevant outcomes are exhibited graphically and talked about quantitatively as for variety in the flow controlling parameters related to the present analysis. Mainly, the observations are bioconvection parameters will in general improve the concentration of the rescaled density of microorganisms and nanoparticles volume fraction and dimensionless motile microorganisms reduce with strong chemical reactions.

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Acknowledgments

Authors would like to thank the valuable comments which are provided by the reviewers to improve the content of the present study.

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Authors and Affiliations

  1. Division of Mathematics, Department of Sciences and Humanities, Vignan’s Foundation for Science, Technology and Research, Vadlamudi, Andhra Pradesh, 522 213, India

    M. Venkata Subba Rao

  2. Department of Mathematics, Acharya Nagarjuna University Ongole Campus, Ongole, Andhra Pradesh, 523001, India

    K. Gangadhar & P. Surekha

  3. Faculty of Engineering, Kuwait College of Science and Technology, Doha, Kuwait

    Ali J. Chamkha

Authors
  1. M. Venkata Subba Rao
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  2. K. Gangadhar
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  3. Ali J. Chamkha
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  4. P. Surekha
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Correspondence to Ali J. Chamkha.

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Rao, M.V.S., Gangadhar, K., Chamkha, A.J. et al. Bioconvection in a Convectional Nanofluid Flow Containing Gyrotactic Microorganisms over an Isothermal Vertical Cone Embedded in a Porous Surface with Chemical Reactive Species. Arab J Sci Eng 46, 2493–2503 (2021). https://doi.org/10.1007/s13369-020-05132-y

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  • DOI: https://doi.org/10.1007/s13369-020-05132-y

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