Open Access

ARTICLE

Influence of Brownian Motion, Thermophoresis and Magnetic Effects on a Fluid Containing Nanoparticles Flowing over a Stretchable Cylinder

Aaqib Majeed^1,*, Ahmad Zeeshan²

1 Department of Mathematics, The University of Faisalabad, Faisalabad, 38000, Pakistan
2 Department of Mathematics and Statistics, FBAS, International Islamic University Islamabad, Islamabad, 44000, Pakistan

* Corresponding Author: Aaqib Majeed. Email:

Fluid Dynamics & Materials Processing 2024, 20(3), 525-536. https://doi.org/10.32604/fdmp.2023.028716

Received 04 January 2023; Accepted 05 May 2023; Issue published 12 January 2024

Abstract

The influence of Brownian motion and thermophoresis on a fluid containing nanoparticles flowing over a stretchable cylinder is examined. The classical Navier-Stokes equations are considered in a porous frame. In addition, the Lorentz force is taken into account. The controlling coupled nonlinear partial differential equations are transformed into a system of first order ordinary differential equations by means of a similarity transformation. The resulting system of equations is solved by employing a shooting approach properly implemented in MATLAB. The evolution of the boundary layer and the growing velocity is shown graphically together with the related profiles of concentration and temperature. The magnetic field has a different influence (in terms of trends) on velocity and concentration.

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Keywords

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