Effects of Arrhenius kinetic on the magnetized nanofluid flow through a porous stretchable cylinder with slip conditions

ABSTRACT

This research addresses the implications of slip on the magnetohydrodynamic transport properties of Newtonian nanofluids. The study employs Buongiorno’s theoretical framework and focuses its attention on a cylindrical object that experiences tensile deformation inside a medium characterized by porosity. In contrast to the often observed boundary conditions that presume a constant temperature and concentration, the current research utilizes hydrodynamic and thermal slip conditions. The recognition of many significant elements, including the Arrhenius activation energy, magnetic field, and viscous dissipation, also has important significance. The phenomena of interest pertaining to fluid flow is first defined and afterward converted into a nondimensional form by including relevant commonalities. In order to do a thorough examination of the current situation, the shooting algorithm and the $bvp4c$ technique are used. Graphical and tabular representations are used to demonstrate the implications of several emerging features on the velocity, temperature, and dispersion of nanoparticles. The observed data suggests that a rise in chemical reaction parameters leads to a drop in nanoparticle concentration distributions, but the activation energy parameter exhibits an opposite tendency. It is discovered that the boundary layer thickness under slip flow circumstances differs from that seen without slip flow. The Sherwood number rises when the chemical reaction parameter gets higher, whereas the activation energy parameter escalates in the opposite direction. The present research covers a broad variety of applied sciences applications, with a special emphasis on thermal oil recovery, geothermal reservoirs, chemical engineering, and nuclear reactor cooling.

KEYWORDS:

• Magnetohydrodynamics (MHD)
• stretching permeable cylinder
• Arrhenius activation energy
• thermal slip condition
• shooting method

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No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

M. Irfan

Dr. M. Irfan, Lecturer of Applied Mathematics and Fluid Dynamics He received his PhD in computational fluid dynamics from the National University of Science and Technology, Pakistan. He is currently working as a lecturer at HITEC University, Pakistan.

M. M. Bhatti

Dr. M. M. Bhatti is an Associate Professor of Applied Mathematics and Fluid Mechanics at Shandong University of Science and Technology, Qingdao, China. He joined the Shandong University of Science and Technology in August 2019 as a lecturer and was promoted to Associate Professor in 2023. He received his PhD in Applied Mathematics and Fluid Mechanics in 2019 from Shanghai University.