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Nanofluid bioconvection in presence of gyrotactic microorganisms and chemical reaction in a porous medium

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Abstract

In this paper, we investigate the hydromagnetic bioconvection of gyrotactic microorganisms past a permeable vertical plate embedded in a porous medium filled with a water-based nanofluid. The model for the nanofluid, proposed by Kuznetsov and Nield [23], incorporates Brownian motion, thermophoresis, bioconvection of gyrotactic microorganisms and chemical reaction. Using appropriate similarity transformations, the model boundary value problem is tackled numerically using bvp4c function from Matlab. The influences of bioconvection parameters, chemical reaction parameter, inverse Darcy number etc on the velocity, temperature, nanoparticle concentration and the micro-organisms density profiles are analyzed and discussed in detail. A comparative analysis of our results with previously reported results in the literature is given.

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Authors and Affiliations

  1. Dept. of Mathematics, A.B.N. Seal College, Cooch Behar, 736101, India

    Kalidas Das

  2. Dept of Mathematics, Asansol Engineering College, Asansol, 713305, India

    Pinaki Ranjan Duari

  3. Dept. of Mathematics, Jadavpur University, Kolkata, 700032, India

    Prabir Kumar Kundu

Authors
  1. Kalidas Das
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  2. Pinaki Ranjan Duari
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  3. Prabir Kumar Kundu
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Correspondence to Kalidas Das.

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Recommended by Associate Editor Joon Sang Lee

Kalidas Das has completed his Ph.D. degree in Fluid Mechanics (MHD) from the University of Kalyani in 1997. He is now in the position of Assistant Professor (senior) of Mathematics, A.B.N.Seal College, West Bengal, India. So far he had 74 research papers published in National and International journals to his credit in the fields of fluid mechanics (MHD, CFD and Nanofluidics) and bio-mechanics. Two students have completed their research work and five students are still being guided by him at the moment. He is the author and also coauthor of many books on graduate and under graduate level.

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Das, K., Duari, P.R. & Kundu, P.K. Nanofluid bioconvection in presence of gyrotactic microorganisms and chemical reaction in a porous medium. J Mech Sci Technol 29, 4841–4849 (2015). https://doi.org/10.1007/s12206-015-1031-z

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  • DOI: https://doi.org/10.1007/s12206-015-1031-z

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