Article ID: CBB846198439

Euler’s Friction of Fluids Theory and the Estimation of Fountain Jet Heights (2015)

unapi

In 1761, Leonhard Euler (1707–1783) published a treatise with the title “Attempt at a Theory of the Friction of Fluids”, in which he assumed that, as is the case for solid friction, fluid friction is proportional to pressure. Several experiments were proposed by Euler to derive a friction factor, which were intended to experimentally confirm his equations. Detailed developments of five different problems of discharge were presented in his treatise, taking into account the loss of head in the conduits. In the Appendix, an example is given of the calculation of the jet heights of a particular fountain, fed with conduits of different cross-sectional areas. Application of the current method for the calculation of head losses in pipes reveals that Euler grossly overestimated the fountain jet heights.

...More
Citation URI
https://data.isiscb.org/isis/citation/CBB846198439/

Similar Citations

Article Erik R. Tou; (2019)
Bernoullian Influences on Leonhard Euler’s Early Fluid Mechanics (/isis/citation/CBB776843735/)

Article Eckert, Michael; (2002)
Euler and the Fountains of Sanssouci (/isis/citation/CBB000300069/)

Article Frisch, Uriel; Villone, Barbara; (2014)
Cauchy's Almost Forgotten Lagrangian Formulation of the Euler Equation for 3D Incompressible Flow (/isis/citation/CBB001421685/)

Article Craik, Alex D. D.; (2013)
“Continuity and Change”: Representing Mass Conservation in Fluid Mechanics (/isis/citation/CBB001211054/)

Book Calero, Julián Simón; (2007)
The Genesis of Fluid Mechanics, 1640--1780 (/isis/citation/CBB001450882/)

Article Home, Roderick W.; (1975)
On two supposed works by Leonhard Euler on electricity (/isis/citation/CBB000010961/)

Book Leonhard Euler; Christian von Goldbach; Franz Lemmermeyer; Martin Mattmüller; (2015)
Leonhardi Euleri opera omnia. Ser. 4, A Leonhardi Euleri commercium epistolicum = Correspondence of Leonhard Euler Vol. 4 Pars 1 (/isis/citation/CBB406214307/)

Book Ronald S. Calinger; (2015)
Leonhard Euler: Mathematical Genius in the Enlightenment (/isis/citation/CBB749253216/)

Book Henry, Philippe; (2007)
Leonhard Euler “incomparable géomètre” (/isis/citation/CBB000953060/)

Thesis Hepburn, Brian S.; (2007)
Equilibrium and Explanation in 18th-Century Mechanics (/isis/citation/CBB001560501/)

Book Ferraro, Giovanni; Palladino, Franco; (1995)
Il calcolo sublime di Eulero e Lagrange: Esposto col metodo sintetico nel progetto di Nicolò Fergola (/isis/citation/CBB000070302/)

Article Evans, Trevor; (1979)
Universal algebra and Euler's officer problem (/isis/citation/CBB000005830/)

Chapter Knobloch, Eberhard; (1992)
Eulers früheste Studie zum Dreikörperproblem (/isis/citation/CBB000044698/)

Article Stipanić, Ernest; (1973)
Ojlerova matematička analiza. (Euler's mathematical analysis.) (/isis/citation/CBB000013895/)

Article Bertoloni Meli, Domenico; (1993)
The emergence of reference frames and the transformation of mechanics in the Enlightenment (/isis/citation/CBB000058567/)

Authors & Contributors
Ferraro, Giovanni
Morris, Andrew M. A.
Sznajder, Roman
Franz Lemmermeyer
Tou, Erik R.
Calinger, Ronald S.
Concepts
Mathematics
Fluid mechanics
Physics
Mechanics
Calculus
Hydraulics
Time Periods
18th century
19th century
17th century
Enlightenment
20th century
Places
England
Poland
France
Europe
Institutions
Académie des Sciences, Paris
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment