Application of Corcione correlation in a nanofluid flow on a bidirectional stretching surface with Cattaneo–Christov heat flux and heat generation/absorption

Abstract

This research aims to examine the combined effects of Cattaneo–Christov heat flux and heat generation/absorption on magnetohydrodynamic (MHD) nanoliquid (Fe₃O₄-Ethylene glycol) across a linearly stretchable bidirectional surface immersed in a permeable media. The characteristics of nanoliquid (viscosity and thermal conductivity) are a function of temperature and nanoparticle volume fraction. The problem is formulated by considering Corcione’s correlation which describes the effective viscosity and thermal conductivity of nanoliquid. The application of Corcione’s correlation on a bidirectional surface with a combination of MHD nanofluid comprising the unique combination of (Fe₃O₄-Ethylene glycol) makes this idea novel and is being presented for the first time. The implementation of appropriate similarity transformation leads to the transition of coupled momentum and energy equations into dimensionless ordinary differential equations (ODEs). These ODEs are numerically addressed by applying a well-known bvp4c method in MATLAB. The outcome of the arising parameters on the velocity and thermal field of nanoliquid are demonstrated graphically and numerically (drag force coefficient and Nusselt number) depicted through tables. It is observed that the porosity and velocity slip parameters combined with the volume fraction of nanoparticles decay velocity field. It is also comprehended that heat transmission augments by escalating the volume fraction of nanoparticles. A strong correlation is reflected in comparing the findings of the current analysis with the preceding literature.

Keywords:

• Bidirectional stretching surface
• Cattaneo–Christov heat flux
• Corcione model
• magnetohydrodynamic
• Newtonian heating
• porous medium

Authors’ contributions

M.R. supervised and considered the idea; N. S. wrote the manuscript; H.A.S.G. worked on the software; and Y. E. helped in editing, and validation; and S.K. helped in revising the manuscript.

Disclosure statement

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this article.

Additional information

Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (KKU) for funding this research through the Research Group Program Under the Grant Number:(RGP-2-44/1443).