Impacts of Arrhenius energy and viscous dissipation on variable properties of viscoelastic nanofluid flow with slip velocity

ABSTRACT

In this article, the viscoelastic nanofluid external flow using the model that considers the Brownian motion and thermophores is examined. A non-Newtonian liquid has variable properties, namely dynamic viscosity and thermal conductivity, and these depended on temperature distributions. Third order mathematical formulations include some important impacts such as Lorentz force, non-linear radiation, exponential heat generation, viscous dissipation, and Arrhenius activation energy. Also, the flow on the outer edge has slip conditions, variable nanoparticle distributions, and convective boundary conditions. The solution technique is based on reducing the fourth order derivatives of ODEs (Ordinary Differential Equations) and shooting method. From the major results, it is noted that the variable property case gives a higher rate of heat transfer compared to the constant case. The slip-velocity condition in the case of the viscoelastic nanofluids causes higher velocity features for the non-Newtonian suspension compared to the case of Newtonian nanofluids. Minimization of the viscoelastic parameter, viscosity parameter, and mixed convection parameter is the best to obtain the higher values of skin friction coefficient.

KEYWORDS:

• Nanofluids
• thermal energy
• variable properties
• viscoelastic
• slip velocity
• dissipative flow
• numerical results

Table

Acknowledgments

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through a large group Research Project under grant number RGP2/330/44.

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 paper.

Availability of data and materials

The data and materials that support the findings of this study are available from the corresponding author upon reasonable request.

Additional information

Funding

The work was supported by the King Khalid University.

Notes on contributors

Zahra S. Hafed

Zahra S. Hafed obtained her doctorate degree in Applied Mathematics from King Abdul Aziz University, Department of Mathematics, Faculty of Science, KSA. She is currently an assistant professor in the Department of Mathematics, Faculty of Science, King Khalid University. Currently, her research interest is in computational sciences, applied mathematics, fluid mechanics, mathematical modelling, magnetohydrodynamic, boundary layer flows, and heat and mass transfer with its application to hydro magnetic. She has several international publications in reputable journals to her credits.

Sameh A. Hussein

Sameh A. Hussein obtained his doctorate degree in Applied Mathematics from Zagazig University, Department of Mathematics, Faculty of Science, Egypt. He is currently a lecturer in the Department of Mathematics, Faculty of Science, Zagazig University. Currently, his research interest is in computational sciences, applied mathematics, fluid mechanics, mathematical Modelling, magnetohydrodynamic, boundary layer flows and heat and mass transfer with its application to hydromagnetic. He has several international publications in reputable Journals to his credits.

Abdulaziz Alenazi

Abdulaziz Alenazi obtained his doctorate degree in Statistics from The University of Sheffield, UK. He is currently an assistant professor in Statistics at the Department of Mathematics, College of Science, Northern Border University, Arar, Saudi Arabia. His research interest is in Statistical and Mathematical methods, Compositional data analysis, Statistical and Mathematical modelling, Bayesian Statistics analysis, and Computational Statistics. He has several international publications in reputable journals to his credits.

Anas A. M. Arafa

Anas A. M. Arafa obtained his doctorate degree in pure Mathematics from South Valley University, Department of Mathematics, Faculty of Science, Egypt. He is currently an associate professor in the department of Mathematics, Faculty of Arts and Science, Qassim University. His research interest is in Mathematical methods, Fluid mechanics, and Mathematical modelling. He has several international publications in reputable Journals to his credits.

Sameh E. Ahmed

Sameh E. Ahmed obtained his doctorate degree in applied Mathematics from South Valley University, Department of Mathematics, Faculty of Science, Egypt. He is currently professor in the department of Mathematics, Faculty of science, King Khalid University. His research interest is in Mathematical methods, Fluid mechanics, and Mathematical modelling. He has several international publications in reputable Journals to his credits.