Open Access

ARTICLE

Computational-Analysis of the Non-Isothermal Dynamics of the Gravity-Driven Flow of Viscoelastic-Fluid-Based Nanofluids Down an Inclined Plane

Idrees Khan1,2, Tiri Chinyoka1,2,*, Andrew Gill3
1 Centre for Research in Computational & Applied Mechanics, University of Cape Town, Rondebosch, 7701, South Africa
2 Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch, 7701, South Africa
3 Centre for High Performance and Computing, Council for Scientific and Industrial Research, Rosebank, Cape Town, 7700, South Africa
* Corresponding Author: Tiri Chinyoka. Email:
(This article belongs to this Special Issue: Electro- magnetohydrodynamic Nanoliquid Flow and Heat Transfer)

Fluid Dynamics & Materials Processing 2023, 19(3), 767-781. https://doi.org/10.32604/fdmp.2022.021921

Received 13 February 2022; Accepted 07 May 2022; Issue published 29 September 2022

Abstract

The paper explores the gravity-driven flow of the thin film of a viscoelastic-fluid-based nanofluids (VFBN) along an inclined plane under non-isothermal conditions and subjected to convective cooling at the free-surface. The Newton’s law of cooling is used to model the convective heat-exchange with the ambient at the free-surface. The Giesekus viscoelastic constitutive model, with appropriate modifications to account for non-isothermal effects, is employed to describe the polymeric effects. The unsteady and coupled non-linear partial differential equations (PDEs) describing the model problem are obtained and solved via efficient semi-implicit numerical schemes based on finite difference methods (FDM) implemented in Matlab. The response of the VFBN velocity, temperature, thermal-conductivity and polymeric-stresses to variations in the volume-fraction of embedded nanoparticles is investigated. It is shown that these quantities all increase as the nanoparticle volume-fraction becomes higher.

Keywords

Semi-implicit numerical scheme; finite difference methods; viscoelastic-fluid-based nanofluid (VFBN); non-isothermal viscoelastic flow; giesekus constitutive model; nanofluid thermal-conductivity; gravity-driven flow

Cite This Article

Khan, I., Chinyoka, T., Gill, A. (2023). Computational-Analysis of the Non-Isothermal Dynamics of the Gravity-Driven Flow of Viscoelastic-Fluid-Based Nanofluids Down an Inclined Plane. FDMP-Fluid Dynamics & Materials Processing, 19(3), 767–781.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 140

    View

  • 130

    Download

  • 0

    Like

Share Link

WeChat scan