Overlapping grid multidomian spectral quasilinearization method for Williamson nanofluid with gyrotactic microorganisms flow past a radially stretching sheet
Fixed Point Methods and Optimization, Volume 1, Issue 1, June 2024, Pages 31–46
THOKOZANI N. KHUMALO
Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni M201, Eswatini
MEKONNEN S. AYANO
Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni M201, Eswatini
VUSI M. MAGAGULA
Department of Mathematics, University of Eswatini, Private Bag 4, Kwaluseni M201, Eswatini
Abstract
In this paper, magnetohydrodynamic (MHD) heat and mass transfer of bioconvective Williamson nanofluid flow over a radially stretching sheet is studied. Microorganisms are used to stabilize the suspended nanoparticles through bioconvection. The nanoparticles are accounted for using the Brownian motion and thermophoretic phenomena. By establishing suitable similarity variables, the governing nonlinear partial differential equations modeling the flow are transformed into nonlinear systems of ordinary differential equations (ODE’s), which are then solved numerically using the recently developed overlapping grid multidomian spectral quasilinearization method (OGMDSQLM) on MATLAB. The effect of various physical parameters on the flow profiles is investigated graphically and in tables. Amongst other findings, it is found that increasing the radiation parameter augments the temperature profile, while the concentration of microorganisms profiles decline with a rise in the value of the chemical reaction parameter.
Cite this Article as
Thokozani N. Khumalo, Mekonnen S. Ayano and Vusi M. Magagula, Overlapping grid multidomian spectral quasilinearization method for Williamson nanofluid with gyrotactic microorganisms flow past a radially stretching sheet, Fixed Point Methods and Optimization, 1 (2024), 31–46