A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative

Dolat Khan; Poom Kumam; Wiboonsak Watthayu

doi:10.1038/s41598-021-01946-4

A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative

Sci Rep. 2021 Nov 23;11(1):22761. doi: 10.1038/s41598-021-01946-4.

Authors

Dolat Khan¹, Poom Kumam^{2

3

4}, Wiboonsak Watthayu¹

Affiliations

¹ Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, 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.
² Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, 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 Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, Thonburi (KMUTT), King Mongkut's University of Technology, 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand. poom.kum@kmutt.ac.th.
⁴ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan. poom.kum@kmutt.ac.th.

Abstract

This article focused on the comparative study of entropy generation for natural convection flow of the newly proportional Caputo hybrid and Atangana baleanu fractional derivative. The governing equation is formed as the set of partial differential equations with the physical boundary conditions. The report of entropy generation is investigated for the first time for proportional-Caputo hybrid model and comparison are sorts out with generalized Atangana baleanu fractional derivative. The Bejan number is also compared for the mention fractional derivatives. Graphs show the impact of various factors on the minimization and maximizing of entropy production. The newly proportional Caputo hybrid operator has a good memory effect rather than Atangana baleanu fractional operator.

Publication types

Research Support, Non-U.S. Gov't