Analysis of a Ferromagnetic Nanofluid Saturating a Porous Medium with Nield’s Boundary Conditions

Noureddine Elboughdiri (), Gurram Dharmaiah, Jupudi Lakshmi Rama Prasad, Chagarlamudi Baby Rani, Kothuru Venkatadri, Djamel Ghernaout, Abderrahim Wakif and Yacine Benguerba
Additional contact information
Noureddine Elboughdiri: Chemical Engineering Department, College of Engineering, University of Ha’il, P.O. Box 2440, Ha’il 81441, Saudi Arabia
Gurram Dharmaiah: Department of Mathematics, Narasaraopeta Engineering College, Narasaraopet 522601, India
Jupudi Lakshmi Rama Prasad: Department of Mathematics, PB Siddartha College of Arts and Science, Vijayawada 520010, India
Chagarlamudi Baby Rani: Department of Mathematics, Velagapudi Ramakrishna Siddhartha Engineering College, Kanuru, Vijayawada 520007, India
Kothuru Venkatadri: Department of Mathematics, Indian Institute of Information Technology, Sri City 517646, India
Djamel Ghernaout: Chemical Engineering Department, College of Engineering, University of Ha’il, P.O. Box 2440, Ha’il 81441, Saudi Arabia
Abderrahim Wakif: Laboratory of Mechanics, Faculty of Sciences Ain Chock, Hassan II University of Casablanca, Casablanca 8118, Morocco
Yacine Benguerba: Chemical Engineering Department, College of Engineering, University of Ha’il, P.O. Box 2440, Ha’il 81441, Saudi Arabia

Mathematics, 2023, vol. 11, issue 22, 1-15

Abstract: This research delves into the intricacies of a two-dimensional, steady flow of a ferrofluid within a porous medium, where the thermal conductivity is subject to temperature variations. The study encompasses the influence of magnetic dipoles, radiation, Brownian motion, and thermophoresis phenomena as they interact with a stretching sheet. A novel aspect of this investigation is the detailed analysis of Brownian and thermophoresis effects on nanoparticles while considering Nield’s boundary conditions. The study involves the transformation of flow equations into ordinary differential equations through standard similarity transformations, unraveling the governing equations using the BVP4C method. The outcomes are presented graphically, providing a comprehensive assessment of the factors impacting the fluid properties, including velocity, temperature, and concentration. Notably, this study reveals that an increase in the ferrofluid parameter leads to elevated temperature profiles while causing a decrease in velocity. Furthermore, an increase in the viscosity parameter is associated with a reduction in velocity. Some technological applications of the problem include magnetically controlled actuation and drug targeting.

Keywords: ferromagnetism; magnetic dipole; porous; radiation; Brownian motion; thermophoresis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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