Verification of Torricelli’s Efflux Equation with the Analytical Momentum Equation and with Numerical CFD Computations

Philipp Epple; Michael Steppert; Luis Wunder; Michael Steber

doi:10.4028/www.scientific.net/AMM.871.220

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 871Verification of Torricelli’s Efflux Equation with...

Verification of Torricelli’s Efflux Equation with the Analytical Momentum Equation and with Numerical CFD Computations

Abstract:

The efflux velocity equation from Torricelli is well known in fluid mechanics. It can be derived analytically applying Bernoulli’s equation. Bernoulli’s equation is obtained integrating the momentum equation on a stream line. For verification purposes the efflux velocity for a large tank or vessel was also computed analytically applying the momentum equation, delivering, however, a different result as the Torricelli equation. In order to validate these theoretical results the vertical and the horizontal efflux velocity case was simulated with computational fluid dynamics CFD. Furthermore, simple experiments for the horizontal and vertical efflux equation were performed.

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Periodical:

Applied Mechanics and Materials (Volume 871)

Pages:

220-229

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.871.220

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Online since:

October 2017

Authors:

Philipp Epple*, Michael Steppert, Luis Wunder, Michael Steber

Keywords:

Computational Fluid Dynamics (CFD), Efflux, Momentum Equation, Outflow, Torricelli

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