Potential flow of fluid from an elevated, two-dimensional source

Shraida, S.M. and Hocking, G.C.ORCID: 0000-0002-5812-6015 (2019) Potential flow of fluid from an elevated, two-dimensional source. Applied Mathematical Modelling, 71 . pp. 349-362.

Abstract

When fluid is pumped from an elevated source it flows downward and then outward once it hits the base. In this paper we consider a simple two dimensional model of flow from a single line source elevated above a horizontal base and consider its downward flow into a spreading layer on the bottom. A hodograph solution and linear solutions are obtained for high flow rates and full nonlinear solutions are obtained over a range of parameter space. It is found that there is a minimum flow rate beneath which no steady solutions exist. Overhanging surfaces are found for a range of parameter values. This flow serves as a model for a two-dimensional water fountain, or approximates a similar flow in a density stratified environment.

Item Type:	Journal Article
Murdoch Affiliation(s):	School of Engineering and Information Technology
Publisher:	Elsevier BV
Copyright:	© 2019 Elsevier Inc.
URI:	http://researchrepository.murdoch.edu.au/id/eprint/43656

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