{ "id": "2403.07946", "version": "v1", "published": "2024-03-11T10:00:00.000Z", "updated": "2024-03-11T10:00:00.000Z", "title": "Burns turbulent dispersion considers the dispersed phase as a passive scalar", "authors": [ "Corentin Reiss" ], "categories": [ "physics.flu-dyn" ], "abstract": "The Burns turbulent dispersion force is the most commonly used turbulent dispersion in the twofluid RANS bubbly-flow literature. However, its derivation is based on a series of hypothesis that are difficult to justify in industrial flows. It is shown that in low-void fraction vertical pipe flow, the Burns turbulent dispersion formulation is equivalent to considering the radial movement of the gas phase like a passive scalar that follows turbulent eddies. This is not apparent in the derivation of the force. As bubbles in pressurized water reactor (PWR) conditions have a low Stokes number ($\\sim$ 10--1), considering bubbles are transported by turbulence is a good approximation for bubble dispersion in pipe flow. Therefore, the Burns turbulent dispersion force is appropriate to represent bubble dispersion in low-void fraction PWR flows.", "revisions": [ { "version": "v1", "updated": "2024-03-11T10:00:00.000Z" } ], "analyses": { "keywords": [ "passive scalar", "burns turbulent dispersion force", "dispersed phase", "twofluid rans bubbly-flow literature", "burns turbulent dispersion formulation" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }