Eur. Phys. J. Plus (2020) 135: 781
https://doi.org/10.1140/epjp/s13360-020-00812-y

Regular Article

Nanoliquid film flow due to a moving substrate and heat transfer

¹ Department of Mathematics, Hacettepe University, 06532-Beytepe, Ankara, Turkey
² Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

^a turkyilm@hacettepe.edu.tr

Received: 10 February 2020
Accepted: 26 September 2020
Published online: 6 October 2020

Abstract

The present work analyzed the flow and heat transfer of the nanoliquid film flow over a moving inclined substrate. The motion of nanoparticles is induced by the action of both the gravitational force as well as the substrate movement. The hydrodynamic and thermal layers developing along the channel with a constant film thickness are resolved analytically. The corresponding pressure distribution, velocity field, temperature field and the physical quantities of wall shear stress as well as wall heat transfer rate are formulated in closed-form expressions. Seven different types of nanofluids are accounted for. Thermophysical properties of these particles enable us to visualize the flow and thermal development of the nanoliquid films in terms of the clean base fluid by the help of the defined shape factors. The considered mathematical model is validated against the available data in cases of special flow configurations. The carbon nanotubes are shown to have the highest heat transfer rates as compared to the other nanoparticles. On the other hand, the film thickness is much reduced and the wall shear is much amplified in the presence of silver nanoparticles.