https://doi.org/10.1140/epjp/s13360-022-03480-2
Regular Article
Analytical investigation of hydromagnetic ferro-nanofluid flowing via rotating convergent/divergent channels
1
Mechanics of Materials and Plant Maintenance Research Laboratory (LR3MI), Mechanical Engineering Department, Faculty of Engineering, Badji Mokhtar University of Annaba (UBMA), PO Box 12, 23052, Annaba, Algeria
2
Technology Department, University of 20 Aout 1955, B. O. 26, El Hadaiek Road, 21000, Skikda, Algeria
3
Mechanical Engineering Department, University of 20 Aout 1955, B. O. 26, El Hadaiek Road, 21000, Skikda, Algeria
4
Materials and Energy Engineering Laboratory (LMGE), Technology Department, Faculty of Technology, University of 20 Aout 1955, PO Box 26, 21000, Skikda, Algeria
5
Department of Mathematics, Faculty of Science, New Valley University, 72511, El-Kharga, Al-Wadi Al-Gadid, Egypt
6
Department of Mathematics, Faculty of Science, Northern Border University, 1321, Arar, Saudi Arabia
Received:
5
October
2022
Accepted:
10
November
2022
Published online:
29
November
2022
This paper investigates the hydro-magnetic ferro-nanofluid flow through rotating converging/diverging channels. Using appropriate transformation, the partial differential equations occurring from mathematical modeling are converted into ordinary differential equations (ODEs). Thereafter, the obtained ODEs with relevant boundary conditions are resolved computationally and analytically with the help of 4th–5th fifth-order Runge–Kutta–Fehlberg method (RKF45) featuring shooting procedure and the Adomian decomposition method separately. The ferro-fluid flow is prepared by dispersing magnetite (Fe3O4) Ferro nanoparticles in H2O conventional liquid. The influence of diverse physical variables of significance like Reynolds quantity, channel half-angle, rotational parameter, fractional size of the nanoparticle, and Hartmann quantity on the progression of ferrofluid rapidity and the skin friction coefficient is considered. It is found that the increase in rotational parameter makes low ferro-fluid rapidity in the higher half of diverging channel which leads to the apparition of flow reversal; however, at the lower half of the channel, the backflow phenomenon is entirely precluded. Also, results obtained for both rotating convergent and divergent channels reveal that the reverse flowing wholly disappeared as the magnitude of the Hartmann number augment.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022. 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.
