Homotopy analysis of mixed convection flow of a magnetized viscoelastic nanofluid from a stretching surface in non-Darcy porous media with revised Fourier and Fickian approaches

Beg, A; Nasir, M; Waqas, M; Zamri, N

Abstract

This article addresses theoretically the mixed convection hydromagnetic flow of
electrically conducting viscoelastic nanofluid from a vertical permeable stretching sheet in a non-Darcy
porous medium with Cattaneo–Christov double diffusion model to evaluate the heat transfer phenomena in
steady boundary layer flow on a stretchable surface. In this regard thermal and solutal hyperbolic wave
relaxation effects are included for non-Fourier and non-Fickian models. Heat absorption is also included in
the analysis. The Buongiorno two-component nanoscale model is adopted for simulating Brownian motion
and thermophoretic body force effects. A non-Darcy drag force model is employed for the porous medium
and the Reiner-Rivlin second grade model for non-Newtonian characteristics. Via appropriate
dimensionless similarity variables, the non–linear dimensional partial differential conservation equations
for momentum, energy and concentration with associated boundary conditions are rendered into a non–
linear dimensionless ordinary differential boundary value problem. The homotopy analysis method (HAM)
is utilized to solve the boundary value problem and the impact of emerging parameters including thermal
relaxation parameters, non-Newtonian material parameter, Darcy permeability parameter, porous inertial
parameter and Hartmann magnetic number on the momentum, heat and mass transfer characteristics are
visualized graphically and in Tables. A 30th order approximation for HAM is shown to produce sufficient
accuracy for the velocity and temperature fields and a 40th order estimates is adequate for the concentration
field. It is observed that increasing the magnitude of (thermal and solutal relaxation parameters have the
opposite effect on the thermal and concentration distributions. The novelty of the work is the simultaneous
inclusion of multiple effects (non-Fourier and non-Fickian thermal relaxation hyperbolic wave models,
non-Darcy drag effects and heat generation/absorption) which are relevant to rheological nanomaterials
processing and also the deployment of homotopy analysis as an alternative to conventional numerical
methods such as finite differences, finite elements and MATLAB solvers. The study is relevant to the
manufacture of electro-conductive polymers (ECPs) and smart (functional) magnetic nano-liquids.

Citation

Beg, A., Nasir, M., Waqas, M., & Zamri, N. (2023). Homotopy analysis of mixed convection flow of a magnetized viscoelastic nanofluid from a stretching surface in non-Darcy porous media with revised Fourier and Fickian approaches. Waves in Random and Complex Media, https://doi.org/10.1080/17455030.2023.2178824

• Journal Article Type: Article
• Acceptance Date: Jan 23, 2023
• Publication Date: Apr 3, 2023
• Deposit Date: Feb 13, 2023
• Publicly Available Date: Apr 4, 2024
• Journal: Waves in Random and Complex Media
• Print ISSN: 1745-5030
• Publisher: Taylor and Francis
• DOI: https://doi.org/10.1080/17455030.2023.2178824
• Publisher URL: https://doi.org/10.1080/17455030.2023.2178824
• Additional Information: Additional Information : This is an Accepted Manuscript of an article published by Taylor & Francis in Waves in Random and Complex Media on 3rd April 2023 available at: http://www.tandfonline.com/10.1080/17455030.2023.2178824