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The effect of source Reynolds number on the rise height of a fountain

Burridge, HC and Mistry, A and Hunt, GR (2015) The effect of source Reynolds number on the rise height of a fountain. Physics of Fluids, 27. ISSN 1070-6631

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Abstract

© 2015 AIP Publishing LLC. The focus of this paper is to establish the effect of source Reynolds number, Re0, on the mean rise heights of Boussinesq miscible fountains and thereby the range of Re0for which rise heights are independent of Re0. We present results from experiments on aqueous-saline fountains spanning source Reynolds numbers of 15 ≤ Re0≤ 4000 and source Froude numbers of 0.3 ≤ Fr0≤ 40. We provide threshold values for the source Reynolds number, i.e., values above which fountain rise height may be regarded as independent of Re0. For Reynolds numbers immediately beneath these threshold values, the fountain rise height increases as Re0decreases-in agreement with Lin and Armfield ["The Reynolds and Prandtl number dependence of weak fountains," Comput. Mech. 31, 379-389 (2003)]. At even lower Re0, we show that the rise heights reach a maximum and that further decreases in Re0decrease the rise height attained-in agreement with Phillipe et al., ["Penetration of a negatively buoyant jet in a miscible liquid," Phys. Fluids 17, 053601 (2005)]. As such, we resolve an apparent inconsistency within the existing fountain literature.

Item Type: Article
Subjects: UNSPECIFIED
Divisions: Div A > Fluid Mechanics
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:45
Last Modified: 19 Jul 2018 07:03
DOI: