Nonlinear nanofluid fluid flow under the consequences of Lorentz forces and Arrhenius kinetics through a permeable surface : a robust spectral approach

Zhang, L; Bhatti, MM; Shahid, A; Ellahi, R; Beg, OA; Sait, SA

Abstract

Background: Emerging applications in nanomaterials processing are increasingly featuring
multiple physical phenomena including magnetic body forces, chemical reactions and high
temperature behavior. Stimulated by developing a deeper insight of nanoscale fluid dynamics in
such manufacturing systems, in the current article, we study the magnetic nanofluid dynamics
along a nonlinear porous stretching sheet with Arrhenius chemical kinetics and wall transpiration.
Appropriate similarity transformations are employed to simplify the governing flow problem.
Methods: The emerging momentum, thermal energy and nanoparticle concentration ordinary
differential conservation equations are solved numerically with a hybrid technique combining
Successive Linearization and Chebyshev Spectral Collocation. A parametric study of the impacts
of magnetic parameter, porous media parameter, Brownian motion parameter, parameters for
thermophoresis, radiation, Arrhenius function, suction/injection (transpiration) and nonlinear
stretching in addition to Schmidt number on velocity, temperature and nanoparticle (concentration)
distribution is conducted. A detail numerical comparison is presented with different numerical and
2
analytical techniques as a specific case of the current investigation.
Findings: Increasing chemical reaction constant parameter significantly decreases nanoparticle
concentration magnitudes and results in a thickening of the nanoparticle concentration boundary
layer. Enhancing the values of activation energy parameter significantly increases the nanoparticle
concentration magnitudes. Increasing thermophoresis parameter elevates both temperature and
nanoparticle concentration. Increasing radiation parameter increases temperature and thermal
boundary layer thickness. Enlarging Brownian motion parameter (smaller nanoparticles) and
Schmidt number both depress the nanoparticle concentration.

Citation

Zhang, L., Bhatti, M., Shahid, A., Ellahi, R., Beg, O., & Sait, S. (2021). Nonlinear nanofluid fluid flow under the consequences of Lorentz forces and Arrhenius kinetics through a permeable surface : a robust spectral approach. Journal of the Taiwan Institute of Chemical Engineers, 124, 98-105. https://doi.org/10.1016/j.jtice.2021.04.065

• Journal Article Type: Article
• Acceptance Date: Apr 28, 2021
• Online Publication Date: May 16, 2021
• Publication Date: Jul 1, 2021
• Deposit Date: Apr 29, 2021
• Publicly Available Date: May 16, 2022
• Journal: Journal of the Taiwan Institute of Chemical Engineers
• Print ISSN: 1876-1070
• Publisher: Elsevier
• Volume: 124
• Pages: 98-105
• DOI: https://doi.org/10.1016/j.jtice.2021.04.065
• Publisher URL: https://doi.org/10.1016/j.jtice.2021.04.065
• Related Public URLs: https://www.journals.elsevier.com/journal-of-the-taiwan-institute-of-chemical-engineers