Heat transfer augmentation in water-based TiO_2 nanoparticles through a converging/diverging channel by considering Darcy-Forchheimer porosity

Authors

  • K. Ganesh Kumar Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, INDIA. http://orcid.org/0000-0003-3032-5810
  • S.A. Shehzad Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan.
  • T. Ambreen School of Mechanical Engineering, Kyungpook National University, Daegu 41566, South Korea.
  • and M.I. Anwar Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan.

DOI:

https://doi.org/10.31349/RevMexFis.65.373

Keywords:

converging/diverging channel, nanoparticle, Darcy-Forchheimer porous medium, Joule heating

Abstract

This article executes MHD heat transport augmentation in aqueous based  nanoparticles fluid flow over convergent/divergent channel. Joule heating, magnetic field and Darcy-Forchheimer effects are explained for concentration and temperature distributions. Darcy-Forchheimer theory is utilized to explore the impact of porous medium. The system of partial differential expressions is transformed into ordinary ones and evaluated numerically by implementing RKF-45 scheme. Expressions for velocity and temperature profile are derived and plotted under the assumption of flow parameter. Influence of various parameters on heat transfer rates and surface drag force are discussed with the help of table and plots.

Author Biography

K. Ganesh Kumar, Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta-577 451, Shimoga, Karnataka, INDIA.

PhD Scholar, Department of Mechanical Engineering

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Published

2019-07-01

How to Cite

[1]
K. Ganesh Kumar, S. Shehzad, T. Ambreen, and and M. Anwar, “Heat transfer augmentation in water-based TiO_2 nanoparticles through a converging/diverging channel by considering Darcy-Forchheimer porosity”, Rev. Mex. Fís., vol. 65, no. 4 Jul-Aug, pp. 373–381, Jul. 2019.