Eur. Phys. J. Plus (2021) 136: 979
https://doi.org/10.1140/epjp/s13360-021-01958-z

Regular Article

Hybrid/mono-carbon nanotubes–water flow in a peristaltic curved channel with viscous dissipation

¹ Basic Sciences Department, Faculty of Engineering at Benha, Benha University, Cairo, Egypt
² Basic Sciences Department, Faculty of Engineering, BADR University in Cairo BUC, Cairo, Egypt
³ Physics and Engineering Mathematics Department, Faculty of Engineering at Mataria, Helwan University, Cairo, Egypt

^a mohamed.sayed@bhit.bu.edu.eg, Eng_moh_sayed@live.com

Received: 22 July 2021
Accepted: 12 September 2021
Published online: 28 September 2021

Abstract

Investigation of peristaltic motion of a hybrid/mono-carbon nanotube–water flow through a curved channel is carried out in this work. This work meets a lot of engineering and bioapplications such as the motion of the food through the digestive tract and the pumping of the urine from the kidney to the bladder and the pumping systems in the engineering field. The model is described by a set of partial differential equations, this system is transformed to a dimensionless system in terms of which is solved in two steps, the stream function is solved analytically with the assistance of the Mathematica program, and the heat equation is solved numerically using fifth-order Runge–Kutta method. The impact of the channel curvature, amplitude ratio, and the nanoparticle concentration on the pumping and trapping phenomenon is presented and discussed in detail. As concluded from the study, the hybrid type of nanoparticles raises the pressure gradient at the upper and the lower walls as well as the heat transfer decreases due to the presence of two types of nanotubes.