Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects

• Author(s): J. O. Ajilore; S. O. Salawu; O. K. Onanuga; A. A. Abdurasid; I. A. Idowu
• Paper ID: 1719722
• Page: 1344-1354
• Published Date: 15-07-2026
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 10 Issue 1 July-2026

Abstract

This study investigates the steady two-dimensional magnetohydrodynamic (MHD) flow of an electrically conducting Prandtl-Eyring nanofluid over a stretching sheet embedded in a porous medium, incorporating the effects of Brownian motion, thermophoresis, and a first-order chemical reaction. The Buongior nonanofluid model is employed to describe nanoparticle transport mechanisms, while similarity transformations reduce the governing nonlinear partial differential equations to a coupled system of nonlinear ordinary differential equations. The resulting boundary-value problem is solved numerically using a shooting technique combined with the classical fourth-order Runge-Kutta method, and the accuracy of the numerical procedure is verified through comparison with existing results available in the literature. The influence of key physical parameters, including the magnetic, porous medium, Prandtl-Eyring fluid, Brownian motion, thermophoresis, Prandtl, Lewis, and chemical reaction parameters, on the velocity, temperature, and concentration fields is systematically examined. The results reveal that increasing magnetic field strength and porous resistance suppress the fluid velocity while enhancing the wall shear stress. Brownian motion and thermophoresis significantly increase the thermal boundary layer thickness, whereas higher Prandtl and Lewis numbers reduce the temperature and concentration distributions, respectively. Furthermore, stronger chemical reactions reduce nanoparticle concentration, while the surface heat transfer rate increases with the Prandtl number but decreases with increasing Brownian motion and thermophoresis. These findings provide valuable insight into the transport characteristics of non-Newtonian nanofluids in porous media and may contribute to the design of advanced thermal management systems, energy devices, and chemically reactive industrial processes.

Keywords

Brownian Motion, Chemical Reaction, Porous Medium, Prandtl-Eyringnano Fluid, Thermophoresis.

Citations

IRE Journals:
J. O. Ajilore, S. O. Salawu, O. K. Onanuga, A. A. Abdurasid, I. A. Idowu "Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects" Iconic Research And Engineering Journals Volume 10 Issue 1 2026 Page 1344-1354

IEEE:
J. O. Ajilore, S. O. Salawu, O. K. Onanuga, A. A. Abdurasid, I. A. Idowu "Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects" Iconic Research And Engineering Journals, vol. 10, no. 1, Jul. 2026

APA:
J. O. Ajilore, S. O. Salawu, O. K. Onanuga, A. A. Abdurasid, I. A. Idowu (2026). Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects. Iconic Research And Engineering Journals, 10(1).

MLA:
J. O. Ajilore, S. O. Salawu, O. K. Onanuga, A. A. Abdurasid, I. A. Idowu "Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects" Iconic Research And Engineering Journals, vol. 10, no. 1, Jul. 2026.

BibTeX

@article{1719722,
author = {J. O. Ajilore, S. O. Salawu, O. K. Onanuga, A. A. Abdurasid, I. A. Idowu},
title = {Chemical Reaction of Prandtl-Eyring Hydromagnetic Nanofluid Flow in Porous Media: Thermophoretic and Brownian Motion Effects},
journal = {Iconic Research And Engineering Journals},
year = {2026},
volume = {10},
number = {1},
pages = {1344-1354},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1719722.pdf},
abstract = {This study investigates the steady two-dimensional magnetohydrodynamic (MHD) flow of an electrically conducting Prandtl-Eyring nanofluid over a stretching sheet embedded in a porous medium, incorporating the effects of Brownian motion, thermophoresis, and a first-order chemical reaction. The Buongior nonanofluid model is employed to describe nanoparticle transport mechanisms, while similarity transformations reduce the governing nonlinear partial differential equations to a coupled system of nonlinear ordinary differential equations. The resulting boundary-value problem is solved numerically using a shooting technique combined with the classical fourth-order Runge-Kutta method, and the accuracy of the numerical procedure is verified through comparison with existing results available in the literature. The influence of key physical parameters, including the magnetic, porous medium, Prandtl-Eyring fluid, Brownian motion, thermophoresis, Prandtl, Lewis, and chemical reaction parameters, on the velocity, temperature, and concentration fields is systematically examined. The results reveal that increasing magnetic field strength and porous resistance suppress the fluid velocity while enhancing the wall shear stress. Brownian motion and thermophoresis significantly increase the thermal boundary layer thickness, whereas higher Prandtl and Lewis numbers reduce the temperature and concentration distributions, respectively. Furthermore, stronger chemical reactions reduce nanoparticle concentration, while the surface heat transfer rate increases with the Prandtl number but decreases with increasing Brownian motion and thermophoresis. These findings provide valuable insight into the transport characteristics of non-Newtonian nanofluids in porous media and may contribute to the design of advanced thermal management systems, energy devices, and chemically reactive industrial processes.},
keywords = {Brownian Motion, Chemical Reaction, Porous Medium, Prandtl-Eyringnano Fluid, Thermophoresis.},
month = {July}
}