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On bio-convection thermal radiation in Darcy – Forchheimer flow of nanofluid with gyrotactic motile microorganism under Wu’s slip over stretching cylinder/plate

H. Waqas (Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan)
M. Imran (Department of Mathematics, Government College University Faisalabad, Faisalabad, Pakistan)
Taseer Muhammad (Department of Mathematics, College of Sciences, King Khalid University, Abha, Saudi Arabia)
Sadiq M. Sait (Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia)
R. Ellahi (Department of Mathematics and Statistics, Faculty of Basic and Applied Sciences, International Islamic University, Islamabad, Pakistan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 23 September 2020

Issue publication date: 3 May 2021

101

Abstract

Purpose

The purpose of this study is to discuss the Darcy–Forchheimer nanoliquid bio-convection flow by stretching cylinder/plate with modified heat and mass fluxes, activation energy and gyrotactic motile microorganism features.

Design/methodology/approach

The proposed flow model is based on flow rate, temperature of nanomaterials, volume fraction of nanoparticles and gyrotactic motile microorganisms. Heat and mass transport of nanoliquid is captured by the usage of popular Buongiorno relation, which allows us to evaluate novel characteristics of thermophoresis diffusion and Brownian movement. Additionally, Wu’s slip (second-order slip) mechanisms with double stratification are incorporated. For numerical and graphical results, the built-in bvp4c technique in computational software MATLAB along with shooting technique is used.

Findings

The influence of key elements is illustrated pictorially. Velocity decays for higher magnitude of first- and second-order velocity slips and bioconvection Rayleigh number. The velocity of fluid has an inverse relation with mixed convection parameter and local inertia coefficient. Temperature field enhances with the increase in estimation of thermal stratification Biot number and radiation parameter. A similar situation for concentration field is observed for mixed convection parameter and concentration relaxation parameter. Microorganism concentration profile decreases for higher values of bioconvection Lewis number and Peclet number. A detail discussion is given to see how the graphical aspects justify the physical ones.

Originality/value

To the best of the authors’ knowledge, original research work is not yet available in existing literature.

Keywords

Acknowledgements

Author Sadiq M. Sait acknowledges King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, for support.

Citation

Waqas, H., Imran, M., Muhammad, T., Sait, S.M. and Ellahi, R. (2021), "On bio-convection thermal radiation in Darcy – Forchheimer flow of nanofluid with gyrotactic motile microorganism under Wu’s slip over stretching cylinder/plate", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 5, pp. 1520-1546. https://doi.org/10.1108/HFF-05-2020-0313

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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