Eur. Phys. J. Plus (2020) 135: 425
https://doi.org/10.1140/epjp/s13360-020-00394-9

Regular Article

Magnetic dipole ramifications on squashed flow characterization of a ferrofluid roaming a Darcy–Forchheimer sensor surface

¹ Department of Mathematics, University of Gujrat, Gujrat, 50700, Pakistan
² Department of Mathematics, College of Sciences, King Khalid University, Abha, 61413, Kingdom of Saudi Arabia

^* e-mail: azad.hussain@uog.edu.pk

Received: 26 July 2019
Accepted: 9 April 2020
Published online: 19 May 2020

Abstract

This mathematical structure is modeled to explore the magnetic dipole and thermal radiation effects on the magnetically driven squashed flow of a ferrofluid. The flow is subjected to a Darcy–Forchheimer sensor medium placed in superficially free stream. Squashed flow in sensor surface is characterized by Darcy–Forchheimer relation. The fluid viscosity and thermic conductivity are presumed to be vary with temperature variation. The originated structure of complex equations is highly intricate, so a combination of significant parameters is subjected to attain the dimensionless equations. The developed equations are then resolved numerically to find the converging solutions. The consequences of related parameters on the profiles of temperature and velocity are deliberated and presented through graphs. For the present geometry, the flow behavior analysis of ferrofluid has made through stream lines. The significant findings of current investigation are as follows: Both Nusselt number and local shear stress are seemed to increase for rise in magnetic parameter and squashing velocity; influence of squeezed flow index on temperature and velocity curve is inconsistent.