https://doi.org/10.1140/epjp/s13360-023-04257-x
Regular Article
Film thinning and heat transfer analysis of Casson hybrid-nanoliquid flow over an unsteady permeable stretching sheet in presence of magnetic field
1
Department of Mathematics, Sikkim Manipal Institute of Technology, 737136, Majitar, Rangpo, East Sikkim, India
2
Department of Basic and Applied Science, National Institute of Technology Arunachal Pradesh, 791113, Jote, Papumpare, India
3
Department of Mathematics, Manipur University, Indo Myanmar Road, Canchipur, 795003, Imphal, Manipur, India
4
Department of Mathematics, Sikkim University, 6th Mile, Tadong, Samdur, 737102, Gangtok, East Sikkim, India
Received:
23
March
2023
Accepted:
3
July
2023
Published online:
21
August
2023
Most of the studies on thin nanoliquid film flow over a stretching surface are primarily confined to only one type of metallic/nonmetallic nanoparticles suspended on the Newtonian base liquid. This article, on the other hand, investigates the development of thin non-Newtonian Casson hybrid nanolquid (CHNL) film over an unsteady porous stretching sheet in presence of transverse magnetic field. Here, more than one type of metallic/nonmetallic nanoparticles are suspended in the non-Newtonian Casson base liquid. Using the appropriate similarity transformations, the entire set of energy and momentum equations are transformed into a set of coupled non-linear partial differential equations. The singular perturbation technique and matched asymptotic method have been used to find analytical expressions for the temperature and velocity fields. Finally, the longtime film evolution equation is solved numerically by Runge–Kutta method of order four. The results shows that the film height for CHNL enhances for increasing values of nanoparticles volume fractions, Casson parameter, porosity parameter and Hartmann number respectively. It is seen that thermocapillary parameter accelerates film thinning rate when the sheet is cooling along the stretching direction whereas reverse phenomenon occurs for heating. It is noticed that the temperature attends larger values for CHNL as compared to pure Casson liquid and this temperature increases for raising the nanoparticles volume fractions in case of CHNL. A curve within the CHNL film may be described which demarcates the heat transfer region into two sections. In one section, heat is transferred from CHNL film to the stretching surface whereas, on the other section, heat is transferred from stretching sheet to CHNL film.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
