Eur. Phys. J. Plus (2022) 137: 805
https://doi.org/10.1140/epjp/s13360-022-02983-2

Regular Article

Numerical study of heat transfer in a microchannel equipped with the semicircular ribs influenced by slip condition: effects of various slip coefficient and Hartmann number

¹ Xijing University, 710123, Xi’an, China
² Department of Mathematics, Faculty of Science, King Khalid University, 61413, Abha, Saudi Arabia
³ Department of Mathematics, Faculty of Science, AL-Azhar University, Assiut, Egypt
⁴ Physics Department, College of Science, Al-Zulfi, Majmaah University, 11952, AL-Majmaah, Saudi Arabia
⁵ Civil and Infrastructure Engineering, RMIT University, Melbourne, Australia
⁶ Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey
⁷ Institute of Space Sciences, Magurele, Romania
⁸ Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

^a hexinlinhz@163.com
^f dumitru@cankaya.edu.tr

Received: 3 November 2021
Accepted: 21 June 2022
Published online: 11 July 2022

Abstract

In the present work, a microchannel that benefits from the simultaneous effect of slip condition and semicircular ribs was studied to boost heat transfer. A numerical method was utilized to examine the thermal and hydraulic behavior. The results reveal that the velocity is not zero since the slip condition exists in the microchannel. Furthermore, the velocity near the wall has a dramatic value when the slip length increases. Although the heat transfer is not remarkable by semicircular ribs, the magnetic field plays a vital role in boosting the heat transfer as a result of the declining thermal boundary layer. The effect of magnetic field on the heat transfer on the low Re number is not like the higher one which means as the Reynolds number (Re) varies from 10 to 90, the heat transfer goes up from 1.12 to 2.63. Furthermore, at Re = 90, a 255% enhancement is seen in the microchannel by affecting magnetic field at Hartmann number = 15. The results of slip condition claim that slip condition is introduced as the third most effective factor in rising and improving the efficiency of the microchannel. There is a 16.23% improvement in heat transfer by using slip condition in the microchannel. More importantly, the figure for heat transfer is enhanced by increasing the radius of ribs.