Scientific investigation of a fractional model based on hybrid nanofluids with heat generation and porous medium: applications in the drilling process

Dolat Khan; Poom Kumam; Ilyas Khan; Arshad Khan; Wiboonsak Watthayu; Muhammad Arif

doi:10.1038/s41598-022-10398-3

Scientific investigation of a fractional model based on hybrid nanofluids with heat generation and porous medium: applications in the drilling process

Sci Rep. 2022 Apr 20;12(1):6524. doi: 10.1038/s41598-022-10398-3.

Authors

Dolat Khan¹, Poom Kumam^{2

3}, Ilyas Khan⁴, Arshad Khan⁵, Wiboonsak Watthayu¹, Muhammad Arif¹

Affiliations

¹ Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand.
² Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand. poom.kum@kmutt.ac.th.
³ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan. poom.kum@kmutt.ac.th.
⁴ Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia.
⁵ Institute of Computer Sciences and Information Technology, The University of Agriculture, Peshawar, Pakistan.

Abstract

This article investigates graphite-aluminum oxide hybrid nanoparticles in water-base fluid with the addition of heat generation in the presence of a porous medium. The problem is formulated in terms of momentum and energy equations with sufficient initial and boundary conditions. The solution is investigated by using the Laplace transform method. It is observed that the velocity of the drilling fluid is controlled by adding hybrid nanoparticles as compared to simple nanofluids. In a similar way, the temperature of the fluid is reduced. Also, the heat transfer rate is boosted up to 37.40741% by using hybrid nanofluid compared to regular nanofluid. Moreover, the heat transfer rate was increased up to 11.149% by using different shapes of nanoparticles in the base fluid water. It is also observed that by using hybrid nanofluid skin fraction is boosted up at y = 0 and boosted down at y = 1.