Magnetohydrodynamic Bioconvective Flow of Williamson Nanofluid over a Moving Inclined Plate Embedded in a Porous Medium

Amir Abbas, Radhika Khandelwal, Hafeez Ahmad, Asifa Ilyas, Liaqat Ali, Kaouther Ghachem, Walid Hassen and Lioua Kolsi ()
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Amir Abbas: Department of Mathematics, Faculty of Science, University of Gujrat, Sub-Campus, Mandi Bahauddin 50400, Pakistan
Radhika Khandelwal: Department of Mathematics, IIS (Deemed to be University), Jaipur 302020, India
Hafeez Ahmad: Department of Statistics, School of Quantitive Sciences, University of Utara Malaysia, Sintok 06010, Malaysia
Asifa Ilyas: Department of Mathematic, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
Liaqat Ali: School of Sciences, Xi’an Technological University, Xi’an 710021, China
Kaouther Ghachem: Department of Industrial Engineering and Systems, College of Engineering, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Walid Hassen: Laboratory of Metrology and Energy Systems, National Engineering School, Energy Engineering Department, University of Monastir, Monastir 5000, Tunisia
Lioua Kolsi: Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 4, 1-28

Abstract: Research interest in nanotechnology is growing due to its diversified engineering and medical applications. Due to the importance of bioconvection in biotechnology and various biological systems, scientists have made significant contributions in the last ten years. The present study is focusing on the investigation of the magnetohydrodynamics (MHD) bioconvective heat transfer of a Williamson nanofluid past an inclined moving plate embedded in a porous medium. The partial differential equations governing the considered configuration are established, then transformed into ordinary differential equations using suitable similarity transformations. The variables corresponding to the velocity, temperature, nanoparticle volume fraction, and density of motile micro-organisms along with their gradients, are computed using the bvp4c-MATLAB built-in numerical solver. Results showed the rising of the buoyancy ration parameter leads to an increase in the flow velocity. It has been also observed that the flow intensity becomes more important with an increase in the Weissenberg number, and the opposite occurs with an increase in the bioconvective Rayleigh number. As an effect of the Brownian motion, a random fluid particle’s motion is encountered.

Keywords: Williamson-fluid; porous-medium; moving-inclined-plate; nano-fluid; incompressible-fluid; bioconvection; gyrotactic-micro-organisms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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