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

Umavathi, Jawali Channabasappa; Bég, Osman Anwar; Khan, Umar Farooq; Bég, Tasveer A.; 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 micro-organism slip effects are incorporated. Stefan blowing is also simulated. The governing conservation equations are transformed with appropriate variables to 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

UMAVATHI, J.C., BÉG, O.A., KHAN, U.F., BÉG, T.A. and KADIR, A. 2023. 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 [online], 103(9), e202100575. Available from: https://doi.org/10.1002/zamm.202100575

• Journal Article Type: Article
• Acceptance Date: Mar 3, 2023
• Online Publication Date: Mar 17, 2023
• Publication Date: Sep 30, 2023
• Deposit Date: May 10, 2024
• Publicly Available Date: May 10, 2024
• Journal: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
• Print ISSN: 0044-2267
• Electronic ISSN: 1521-4001
• Publisher: Wiley
• Peer Reviewed: Peer Reviewed
• Volume: 103
• Issue: 9
• Article Number: e202100575
• DOI: https://doi.org/10.1002/zamm.202100575
• Keywords: Hybrid bio-nano-swirling magnetic bioreactors; Mathematical models; Engineering technologies; Biological phenomena
• Public URL: https://rgu-repository.worktribe.com/output/2294479