Thermophoresis particle deposition of CoFe₂O₄-TiO₂ hybrid nanoparticles on micropolar flow through a moving flat plate with viscous dissipation effects

Abstract

Purpose

This study aims to investigate the micropolar fluid flow through a moving flat plate containing CoFe₂O₄-TiO₂ hybrid nanoparticles with the substantial influence of thermophoresis particle deposition and viscous dissipation.

Design/methodology/approach

The partial differential equations are converted to the similarity equations of a particular form through the similarity variables. Numerical outcomes are computed by applying the built-in program bvp4c in MATLAB. The process of flow, heat and mass transfers phenomena are examined for several physical aspects such as the hybrid nanoparticles, micropolar parameter, the thermophoresis particle deposition and the viscous dissipation.

Findings

The friction factor, heat and mass transfer rates are higher with an increment of 1.4%, 2.2% and 1.4%, respectively, in the presence of the hybrid nanoparticles (with 2% volume fraction). However, they are declined because of the rise of the micropolar parameter. The imposition of viscous dissipation reduces the heat transfer rate, significantly. Meanwhile, thermophoresis particle deposition boosts the mass transfer. Multiple solutions are developed for a certain range of physical parameters. Lastly, the first solution is shown to be stable and reliable physically.

Originality/value

As far as the authors have concerned, no work on thermophoresis particle deposition of hybrid nanoparticles on micropolar flow through a moving flat plate with viscous dissipation effect has been reported in the literature. Most importantly, this current study reported the stability analysis of the non-unique solutions and, therefore, fills the gap of the study and contributes to new outcomes in this particular problem.

Citation

Waini, I., Khan, U., Zaib, A., Ishak, A. and Pop, I. (2022), "Thermophoresis particle deposition of CoFe₂O₄-TiO₂ hybrid nanoparticles on micropolar flow through a moving flat plate with viscous dissipation effects", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 32 No. 10, pp. 3259-3282. https://doi.org/10.1108/HFF-12-2021-0767