A ""fractal"" modification of Torricelli's formula

Maramathas, AJ; Boudouvis, AG

dc.contributor.author	Maramathas, AJ	en
dc.contributor.author	Boudouvis, AG	en
dc.date.accessioned	2014-03-01T01:32:25Z
dc.date.available	2014-03-01T01:32:25Z
dc.date.issued	2010	en
dc.identifier.issn	1431-2174	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20122
dc.subject	Darcy's law	en
dc.subject	Greece	en
dc.subject	Hydraulic properties	en
dc.subject	Karst	en
dc.subject	Torricelli's formula	en
dc.subject.classification	Geosciences, Multidisciplinary	en
dc.subject.classification	Water Resources	en
dc.subject.other	aquifer	en
dc.subject.other	Darcy law	en
dc.subject.other	discharge	en
dc.subject.other	flow velocity	en
dc.subject.other	groundwater flow	en
dc.subject.other	hydraulics	en
dc.subject.other	karst	en
dc.subject.other	Reynolds number	en
dc.subject.other	Crete	en
dc.subject.other	Greece	en
dc.title	A ""fractal"" modification of Torricelli's formula	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/s10040-009-0507-2	en
heal.identifier.secondary	http://dx.doi.org/10.1007/s10040-009-0507-2	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	A modification is proposed of Torricelli's (1608-1647) formula for the velocity of water discharging from a small hole at the bottom of a large tank filled with fractal solid material. The new formula takes proper account of the mechanical energy losses due to flow in the solid matrix, thus expanding the area of validity of the classical Torricelli's formula. Moreover, it offers a convenient alternative to Darcy's law for estimating the discharge rate from an aquifer. The new formula was derived from laboratory experiments, with a low-Reynolds number discharge flow (Darcian flow). It was tested in a natural karst aquifer where the flow is non-Darcian, at Almiros spring on the island of Crete (Greece). In both cases, the predictive capability of the modified formula is established. © 2009 Springer-Verlag.	en
heal.publisher	SPRINGER	en
heal.journalName	Hydrogeology Journal	en
dc.identifier.doi	10.1007/s10040-009-0507-2	en
dc.identifier.isi	ISI:000274456600004	en
dc.identifier.volume	18	en
dc.identifier.issue	2	en
dc.identifier.spage	311	en
dc.identifier.epage	316	en