https://doi.org/10.1140/epjs/s11734-026-02198-x
Regular Article
Ferrohydrodynamic circulatory flow in a cylindrical end-wall channel
Ural Federal University, 19 Mira Street, 620002, Yekaterinburg, Russia
a
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Received:
9
November
2025
Accepted:
9
February
2026
Published online:
27
February
2026
Abstract
A theoretical model is developed for magnetically induced convective flow in a ferrofluid suspension confined within a cylindrical channel terminated by an impenetrable wall. The flow is generated by an external alternating magnetic field acting on the suspension. The governing ferrohydrodynamics equations are solved analytically in the Stokes approximation using an asymptotic matching technique. The analysis reveals that, under realistic physical parameters, the resulting circulatory flow can reach characteristic velocities of ~ 200 μm/s. This magnetically driven convection enhances mass transport of a dissolved scalar toward the wall by a factor of approximately 2000 compared to pure diffusion. The findings are relevant for the design of microfluidic mixing systems and have potential applications in areas such as targeted drug delivery.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2026
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.
