Thermal and flow characteristics of MHD Williamson hybrid nanofluid under activation energy in a porous asymmetrical peristaltic channel

Hanumantha Hanumantha; Shivaraya Keriyappa; Mallanagoud Mulimani; Ali J Chamkha; Kumbinarasaiah Srinivasa; Suneetha Kolasani; Rathod Kirankumar Gulab

doi:10.65112/tcmis.10059

Authors

Hanumantha Hanumantha Department of Mathematics, Adikavi Sri Maharshi Valmiki University, Raichur, 584133, Karnataka, India https://orcid.org/0009-0008-4889-998X
Shivaraya Keriyappa Department of Mathematics, Government First Grade College Soraba, 577429, Karnataka, India https://orcid.org/0009-0006-8949-0481
Mallanagoud Mulimani Department of Applied Sciences, Faculty of Engineering and Technology, Khaja Bandanawaz University, 585104, Kalaburagi, India https://orcid.org/0000-0003-0643-7396
Ali J Chamkha Faculty of Engineering, Kuwait College of Science and Technology, 35004, Doha District, Kuwait https://orcid.org/0000-0002-8335-3121
Kumbinarasaiah Srinivasa Department of Mathematics, Bangalore University, 560056, Bengaluru, India https://orcid.org/0000-0001-8942-7892
Suneetha Kolasani Department of Mathematics, Ballari Institute of Technology and Management, Ballari, 583104, Karnataka, India https://orcid.org/0000-0002-5041-2244
Rathod Kirankumar Gulab Department of Mathematics, PG Centre Aland, Gulbarga University, Aland, 585302, Karnataka, India https://orcid.org/0009-0006-5701-4640

DOI:

https://doi.org/10.65112/tcmis.10059

Keywords:

Activation energy, modified Darcy’s law, nanofluid, MHD, peristaltic flow, Brownian and thermophoretic movement

Abstract

The importance of the behavior of thermodynamics and the movement of fluids in the present day, especially to improve the effectiveness of operations in the domains of medical and engineering sciences, e.g., cooling of microchips, lubrication, cancer treatment, drug delivery, and so on, cannot be emphasized enough. Hybrid nanofluids have been a subject of significant academic interest, considering their improved thermal conductivity and other properties related to the transport of energy, differentiating them from other fluid media. However, the complex nature of the hybrid nanofluids’ behavior, considering the impact of the modified Darcy principle, Lorentz force, Hall effects, activation energy, and Joule heating, has yet to be explored, especially for non-Newtonian fluids, i.e., Williamson fluids. The main goal is to investigate the peristaltic motion of a magnetohydrodynamic (MHD) Williamson hybrid nanofluid in a horizontal, permeable, asymmetric channel under a magnetic field. The Buongiorno nanofluid model is used to study the effects of thermophoresis and Brownian motion. The energy and concentration equations are derived by considering the effects of Joule heating, viscous dissipation, and activation energy. No-slip boundary conditions are applied at the channel boundaries. The lubrication approximation method is used, and the problem is solved using the homotopy perturbation method (HPM). Physical quantities are examined with the help of graphs and tables. The velocity increases with the Darcy parameter and Hall current parameter on both channel walls. However, the velocity decreases with the magnetic parameter. An increase in the values of the Brownian motion parameter and the thermophoresis parameter results in an increase in the temperature of the fluid. Similarly, an increase in the values of the activation energy parameter results in an increase in the concentration. In addition, the thermal properties of the hybrid nanofluid are superior to those of the standard nanofluid.

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