Prabhakar fractional scrutinization of a colloidal mixture of aluminum oxide and copper nanoparticles flowing over a channel subject to slip effects

Ali Raza, Umair Khan, Niat Nigar (), Anuar Ishak (), El-Sayed M. Sherif () and Ioan Pop ()
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Ali Raza: Department of Mathematics, University of Engineering and Technology, Lahore 54890, Pakistan†Department of Mathematics, Minhaj University, Lahore 54770, Pakistan
Umair Khan: ��Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia§Department of Computer Science and Mathematics, Lebanese American University, Byblos, Lebanon¶Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh Pakistan
Niat Nigar: ��Department of Mathematics, Minhaj University, Lahore 54770, Pakistan
Anuar Ishak: ��Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia
El-Sayed M. Sherif: ��Mechanical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Al-Riyadh 11421, Saudi Arabia
Ioan Pop: *Department of Mathematics, BabeÅŸ-Bolyai University, 400084 Cluj-Napoca, Romania

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 02, 1-18

Abstract: According to a remarkable result, the polarization diffusion coefficient of drugs, such as those that slow down and ease the body, may be determined based on the rise in magnetism that follows. This research examines how a magnetic field impacts the Casson-type flow of a viscous, incompressible hybrid nanofluid that naturally flows across two parallel plates. Copper (Cu) and aluminum-oxide (Al2O3) are the two nanoparticles and their physical properties are intended to be the foundation fluids, together with water and sodium alginate as based fluids. The revised fractional model is investigated using the Laplace transformation using the most current and updated definition of the fractional-order derivative with memory effect, i.e. Prabhakar fractional derivative. The impacts of various constraints on distinct nanoparticles are investigated and visually depicted. As a result, we have concluded that a drop in volumetric percentage reduces fluid velocity. The water-based hybrid nanofluid (HNF) has a more significant influence on the temperature and momentum profile than the sodium alginate-based HNF due to the physical appearances of the investigated nanoparticles. The Casson fluid parameter augmentation also regulates the velocity profile by decreasing the velocity field.

Keywords: Prabhakar-fractional derivatives; water; hybrid-nanofluid; memory effect; parallel plates (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124400035

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