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

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 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. (c) 2021 Taiwan Institute of Chemical Engineers. Published by Elsevier B.V. All rights reserved.

Automated summary

This article investigates the dynamics of magnetic nanofluids on a nonlinear porous stretching sheet. The study reveals the impacts of various parameters such as chemical reaction constant, activation energy, thermophoresis, radiation, Brownian motion, and Schmidt number on velocity, temperature, and nanoparticle concentration. Increasing the chemical reaction constant decreases nanoparticle concentration, while increasing the activation energy parameter increases nanoparticle concentration. Additionally, parameters like thermophoresis, radiation, Brownian motion, and Schmidt number each have specific effects on the distribution of temperature and nanoparticle concentration.