Effects of carbon nanotubes on magnetohydrodynamic flow of methanol based nanofluids via Atangana-Baleanu and Caputo-Fabrizio fractional derivatives

Thermal Science

Ali Abro Kashif¹  Soopy Nisar Kottakkaran²  Sulaiman Alsagri Ali³  Khan Ilyas⁴ 

[1] Mehran University of Engineering and Technology, Department of Basic Sciences and Related Studies, Jamshoro, Pakistan;Prince Sattam bin Abdulaziz University, College of Arts and Sciences, Department of Mathematics, Wadi Aldawaser, Saudi Arabia;Qassim University, Mechanical Engineering Department,Buraydah, Saudi Arabia;Ton Duc Thang University, Faculty of Mathematics and Statistics, Ho Chi Minh City, Vietnam;

关键词: Casson fluid;    nanoparticles;    MHD;    fractional derivatives;   

DOI  :  10.2298/TSCI180116165A

来源: DOAJ

【 摘 要 】

This paper dedicatedly reports the heat transfer analysis of single and multi-walls carbon nanotubes for electrically conducting flow of Casson fluid. Both types of carbon nanotubes are suspended in methanol that is considered as a conventional base fluid. The governing PDE of nanofluids have been modeled by employing newly defined fractional approaches (derivatives) namely Atangana- Baleanu and Caputo-Fabrizio fractional derivatives. The comparison of analytical solutions for temperature distribution and velocity field has been established via both approaches i. e. Atangana-Baleanu and Caputo-Fabrizio fractional operators. The general analytical solutions are expressed in the layout of Mittage- Leffler function Myε,δ(T) and generalized M-function Mpq (F) satisfying initial and boundary conditions. In order to have vivid rheological effects, the general analytical solutions in both cases (Atangana-Baleanu and Caputo-Fabrizio fractional derivatives) are depicted for graphical illustrations. The comparison of three types of fluids: pure methanol, methanol with single walls carbon nano-tubes, and methanol with multi-walls carbon nanotubes is portrayed via Atangana-Baleanu and Caputo-Fabrizio fractional derivatives. Finally, the results indicate that, pure methanol moves quicker in comparison with methanol-single-walls carbon nanotubes via Caputo-Fabrizio and methanol-multi-walls carbon nanotubes, while for larger time, these nanotubes move more rapidly in comparison with pure methanol and methanol-single-walls carbon nanotubes via Atangana-Baleanu.

【 授权许可】

Unknown