Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects

Beg, OA; Umavathi, Jawali Channabasappa; Khan, Umar Farooq; Beg, TA; Kadir, Ali

Abstract

Prompted by the advancements in hybrid bio-nano-swirling magnetic bioreactors, a
mathematical model for the swirling flow from a rotating disk bioreactor to a magnetic fluid
saturating a porous matrix and containing nanoparticles and gyrotactic micro-organisms has been
developed. An axial magnetic field is administered which is perpendicular to the disk and Hall
currents are included. The disk is assumed to be impervious and stretches in the radial direction with
a power-law velocity. The Buongiorno nanoscale, Kuznetsov bioconvection and Darcy porous media
models are deployed. Anisotropic momentum, thermal, nanoparticle concentration and motile microorganism slip effects are incorporated. Stefan blowing is also simulated. The governing conservation
equations are transformed with appropriate variables to a ordinary nonlinear differential equations.
MATLAB bvp4c shooting quadrature is used to solve the emerging nonlinear, coupled ordinary
differential boundary value problem under transformed boundary conditions. Verification with
earlier solutions for the non-magnetic Von Karman bioconvection nanofluid case is conducted.
Further validation of the general magnetic model is conducted with the Adomian decomposition
method (ADM). Extensive visualization of velocity, temperature, nanoparticle concentration and
motile microorganism density number profiles is presented for the impact of various parameters
including magnetic interaction parameter, Hall current parameter, Darcy number, momentum slip,
thermal slip, nanoparticle slip and microorganism slip. Computations are also performed for skin
friction, Nusselt number, Sherwood number and motile micro-organism density number gradient.
The simulations provide a useful benchmark for further studies.

Citation

Beg, O., Umavathi, J. C., Khan, U. F., Beg, T., & Kadir, A. (in press). Computation of swirling hydromagnetic nanofluid flow containing gyrotactic microorganisms from a spinning disk to a porous medium with hall current and anisotropic slip effects. ZAMM, 103(9), https://doi.org/10.1002/zamm.202100575

• Journal Article Type: Article
• Acceptance Date: Mar 3, 2023
• Online Publication Date: Mar 17, 2023
• Deposit Date: Mar 6, 2023
• Publicly Available Date: Mar 18, 2024
• Journal: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
• Print ISSN: 0044-2267
• Electronic ISSN: 1521-4001
• Publisher: Wiley-VCH Verlag
• Volume: 103
• Issue: 9
• DOI: https://doi.org/10.1002/zamm.202100575
• Keywords: Applied Mathematics, Computational Mechanics
• Publisher URL: https://onlinelibrary.wiley.com/journal/15214001