Heat Transport Exploration for Hybrid Nanoparticle (Cu, Fe3O4)-Based Blood Flow via Tapered Complex Wavy Curved Channel with Slip Features

A Abbasi; W Farooq; El Sayed Mohamed Tag-ElDin; Sami Ullah Khan; M Ijaz Khan; Kamel Guedri; Samia Elattar; M Waqas; Ahmed M Galal

doi:10.3390/mi13091415

Heat Transport Exploration for Hybrid Nanoparticle (Cu, Fe₃O₄)-Based Blood Flow via Tapered Complex Wavy Curved Channel with Slip Features

Micromachines (Basel). 2022 Aug 28;13(9):1415. doi: 10.3390/mi13091415.

Authors

A Abbasi¹, W Farooq¹, El Sayed Mohamed Tag-ElDin², Sami Ullah Khan³, M Ijaz Khan^{4

5}, Kamel Guedri^{6

7}, Samia Elattar⁸, M Waqas⁹, Ahmed M Galal^{10

11}

Affiliations

¹ Department of Mathematics, University of Azad Jammu and Kashmir Muzaffarabad, Muzaffarabad 13100, Pakistan.
² Faculty of Engineering and Technology, Future University in Egypt, New Cairo 11835, Egypt.
³ Department of Mathematics, COMSATS University Islamabad, Sahiwal 57000, Pakistan.
⁴ Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan.
⁵ Department of Mechanical Engineering, Lebanese American University, Beirut 2100, Lebanon.
⁶ Mechanical Engineering Department, College of Engineering and Islamic Architecture, Umm Al-Qura University, P.O. Box 5555, Makkah 21955, Saudi Arabia.
⁷ Research Unity: Materials, Energy and Renewable Energies, Faculty of Science of Gafsa, University of Gafsa, Gafsa 2100, Tunisia.
⁸ Department of Industrial & Systems Engineering, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia.
⁹ NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan.
¹⁰ Mechanical Engineering Department, College of Engineering, Prince Sattam Bin Abdulaziz University, Wadi Addawaser 11991, Saudi Arabia.
¹¹ Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt.

Abstract

Curved veins and arteries make up the human cardiovascular system, and the peristalsis process underlies the blood flowing in these ducts. The blood flow in the presence of hybrid nanoparticles through a tapered complex wavy curved channel is numerically investigated. The behavior of the blood is characterized by the Casson fluid model while the physical properties of iron (Fe₃O₄) and copper (Cu) are used in the analysis. The fundamental laws of mass, momentum and energy give rise the system of nonlinear coupled partial differential equations which are normalized using the variables, and the resulting set of governing relations are simplified in view of a smaller Reynolds model approach. The numerical simulations are performed using the computational software Mathematica's built-in ND scheme. It is noted that the velocity of the blood is abated by the nanoparticles' concentration and assisted in the non-uniform channel core. Furthermore, the nanoparticles' volume fraction and the dimensionless curvature of the channel reduce the temperature profile.

Keywords: Casson hybrid nanoparticles; hall applications; numerical approach; peristaltic transport; slip effects.

Grants and funding

The authors would like to thank the Deanship of Scientific Research at Umm Al-Qura University for supporting this work by Grant Code: 22UQU4331317DSR76. Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2022R163), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.