Dissolution-driven transport in a rotating horizontal cylinder

[2504.05771] Dissolution-driven transport in a rotating horizontal cylinder Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Fluid Dynamics arXiv:2504.05771 (physics) [Submitted on 8 Apr 2025 ( v1 ), last revised 27 Nov 2025 (this version, v2)] Title: Dissolution-driven transport in a rotating horizontal cylinder Authors: Subhankar Nandi , Jiten C. Kalita , Sanyasiraju VSS Yedida , Satyajit Pramanik View a PDF of the paper titled Dissolution-driven transport in a rotating horizontal cylinder, by Subhankar Nandi and 3 other authors View PDF HTML (experimental) Abstract: We study the combined effects of natural convection and rotation on the dissolution of a solute in a solvent-filled circular cylinder. The density of the fluid increases with the increasing concentration of the dissolved solute, and we model this using the Oberbeck-Boussinesq approximation. The underlying moving-boundary problem has been modelled by combining the Navier-Stokes equations with the advection-diffusion equation and a Stefan condition for the evolving solute-fluid interface. We use highly resolved numerical simulations to investigate the flow regimes, dissolution rates, and mixing of the dissolved solute for $Sc = 1$, $Ra \in [10^5, 10^8]$ and $\Omega \in [0, 2.5]$. In the absence of rotation and buoyancy, the distance of the interface from its initial position follows a square root relationship with time ($r_d \propto \sqrt{t}$), which ceases to exist at a later time due to the finite-size effect of the liquid domain. We then explore the rotation parameter, considering a range of rotation frequency -- from smaller to larger, relative to the inverse of the buoyancy-induced timescale -- and Rayleigh number. We show that the area of the dissolved solute varies nonlinearly with time depending on $Ra$ and $\Omega$. The symmetry breaking of the interface is best described in terms of $Ra/\Omega^2$. Comments: 33 pages, 16 figures Subjects: Fluid Dynamics (physics.flu-dyn) MSC classes: 76M20, 76U99, 76D05, 76R05, 76R50 Cite as: arXiv:2504.05771 [physics.flu-dyn] (or arXiv:2504.05771v2 [physics.flu-dyn] for this version) https://doi.org/10.48550/arXiv.2504.05771 Focus to learn more arXiv-issued DOI via DataCite Related DOI : https://doi.org/10.1017/jfm.2025.11009 Focus to learn more DOI(s) linking to related resources Submission history From: Satyajit Pramanik Dr. [ view email ] [v1] Tue, 8 Apr 2025 07:50:30 UTC (11,923 KB) [v2] Thu, 27 Nov 2025 05:21:46 UTC (13,542 KB) Full-text links: Access Paper: View a PDF of the paper titled Dissolution-driven transport in a rotating horizontal cylinder, by Subhankar Nandi and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: physics.flu-dyn < prev | next > new | recent | 2025-04 Change to browse by: physics References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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