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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, Re 0 , on the mean rise heights of Boussinesq miscible fountains and thereby the range of Re 0 for which rise heights are independent of Re 0 . We present results from experiments on aqueous-saline fountains spanning source Reynolds numbers of 15 ≤ Re 0 ≤ 4000 and source Froude numbers of 0.3 ≤ Fr 0 ≤ 40. We provide threshold values for the source Reynolds number, i.e., values above which fountain rise height may be regarded as independent of Re 0 . For Reynolds numbers immediately beneath these threshold values, the fountain rise height increases as Re 0 decreases-in agreement with Lin and Armfield ["The Reynolds and Prandtl number dependence of weak fountains," Comput. Mech. 31, 379-389 (2003)]. At even lower Re 0 , we show that the rise heights reach a maximum and that further decreases in Re 0 decrease 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: 31 Aug 2017 01:23
DOI: