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Thin film flow over a spinning disk: Experiments and direct numerical simulations

Jason Stafford1,2,*, Nwachukwu Uzo2, Enrico Piccoli3, Camille Petit2, and Omar K. Matar2,†

  • *Contact author: j.stafford@bham.ac.uk
  • †Contact author: o.matar@imperial.ac.uk
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Phys. Rev. Fluids 10, 024805 – Published 25 February, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.024805

Abstract

The dynamics of thin liquid films flowing over a spinning disk is studied through a combination of experiments and direct numerical simulations. We consider a comprehensive range of interfacial flow regimes from waveless to three-dimensional (3D) waves, and for previously unexplored inertia-dominated conditions that have practical relevance. The transition between these regimes is categorized within a phase map based on two governing parameters that correspond to modified inverse Weber (λ) and Ekman numbers (rdisk). Our findings show that stationary two-dimensional (2D) spiral waves, which unfold in the direction of rotation from the Coriolis effect, transition to 3D waves with the emergence of small perturbations on the wavefronts. These nonstationary structures grow asymmetrically in the 2D-3D transitional region, and detach from the parent spiral wave to form wavelets or so-called Λ solitons. We show that during and after this wave formation process, flow circulations unique to the spinning disk arrangement are present within the main wave hump. Furthermore, when combined with observations of wall strain rates and topology within the film, these findings elucidate the mechanisms that underpin the apparent wave-induced interfacial turbulence effects observed for spinning disk flows.

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Phys. Rev. Fluids 10, 024805– Published 25 February, 2025
  • Received 16 December 2024
  • Accepted 28 January 2025
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