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Double-diffusivity heat generation effects on bioconvection process embedded in a vertical porous surface with variable fluid properties

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Abstract

The present paper concerns the bioconvective flow, mass and heat transfer including motile microorganisms on a vertical surface saturated with porous materials of variable porosity. Because of variable porosity, other fluid properties are assumed to be porosity-dependent. The physical laws that govern the fluid flow and microorganism concentration are modeled into a set of coupled partial differential equations and simplified into corresponding nonlinear ordinary differential equations with similarity variables. Numerical solutions are obtained using in-built functions in Maple 14.0 to ease the hardship connected with computational complexity in the nonlinear problem. Graphical solutions of the symbolic results are presented and fully explained in accordance with the physics of the fluid for the velocity, temperature, concentration and motile microorganism density profiles for uniform and variable permeability and also in porous, non-porous cases. Mixed convective parameter λ has pronounced effect on heat mass and motile microorganism transfer rate in case variable permeability with porous surface.

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Authors and Affiliations

  1. Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics, University of Dhaka, Dhaka, Bangladesh

    Nayema Islam Nima & M. Ferdows

  2. Department of Quantitative Sciences, International University of Business Agriculture and Technology, Dhaka, Bangladesh

    Nayema Islam Nima

  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    M. Ferdows & Faris Alzahrani

  4. Department of Mathematical Science, Redeemers University, Ede, Osun State, Nigeria

    S. O. Adesanya

  5. Environmental Hydrodynamics Unit, African Centre of Excellence for Water and Environmental Research, Redeemer’s University, Ede, Nigeria

    S. O. Adesanya

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  1. Nayema Islam Nima
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  2. M. Ferdows
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Nima, N.I., Ferdows, M., Adesanya, S.O. et al. Double-diffusivity heat generation effects on bioconvection process embedded in a vertical porous surface with variable fluid properties. J Therm Anal Calorim 145, 2571–2580 (2021). https://doi.org/10.1007/s10973-020-09822-5

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