Dual solutions of magnetite/cobalt/manganese-zinc-aqueous nano-ferrofluids from a stretching sheet with magnetic induction effects: MHD stagnation flow computation and analysis

Ferdows, M.; Tazin, Tahia; Bég, Anwar; Bég, T. A.; Ali, Kadir

Abstract

A theoretical study is presented for the steady magnetohydrodynamic (MHD) boundary layer
stagnation point flow of a nano-ferrofluid along a linearly moving stretching sheet, as a simulation
of functional magnetic materials processing. Due to having emerging applications in heat transfer,
the nano-ferrofluids draw the attention which comprises an aqueous base fluid doped with a variety
of magnetic nanoparticles i. e. magnetite (Fe3O4), cobalt ferrite (CoFe2O4) and Manganese-Zinc
(Mn-Zn) ferrite. A partial differential equation mathematical model is developed for mass,
momentum, magnetic field continuity (induction) and energy with appropriate wall and free stream
boundary conditions. Following similarity transformations, the dimensionless resultant nonlinear
ordinary differential boundary value problem is solved numerically using the robust bvp4c
function in MATLAB which features very efficient 4th order optimized Runge-Kutta quadrature.
Dual solutions for the upper branch and lower branch separated by a critical point are identified.
Visualization of velocity, temperature and induced magnetic field function are presented
graphically including validation of solutions with previous studies. Furthermore skin-friction
coefficient and the local Nusselt number are also computed. The impact of the controlling
parameters i. e. Prandtl number (

Citation

Ferdows, M., Tazin, T., Bég, A., Bég, T. A., & Ali, K. (2023). Dual solutions of magnetite/cobalt/manganese-zinc-aqueous nano-ferrofluids from a stretching sheet with magnetic induction effects: MHD stagnation flow computation and analysis. International Journal for Computational Methods in Engineering Science and Mechanics, 1-20. https://doi.org/10.1080/15502287.2023.2211985

• Journal Article Type: Article
• Acceptance Date: May 5, 2023
• Online Publication Date: May 27, 2023
• Publication Date: May 27, 2023
• Deposit Date: May 10, 2023
• Publicly Available Date: May 28, 2024
• Journal: International Journal for Computational Methods in Engineering Science and Mechanics
• Print ISSN: 1550-2287
• Electronic ISSN: 1550-2295
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Pages: 1-20
• DOI: https://doi.org/10.1080/15502287.2023.2211985
• Keywords: Computational Mathematics, Computational Mechanics
• Additional Information: This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal for Computational Methods in Engineering Science & Mechanics on May 27th 2023, available at: http://www.tandfonline.com/10.1080/15502287.2023.2211985