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
Article
Erik R. Tou;
(2019)
Bernoullian Influences on Leonhard Euler’s Early Fluid Mechanics
(/isis/citation/CBB776843735/)
Article
Suay Belenguer, Juan Miguel;
(2008)
Los Molinos y las Cometas por Mr. Euler le fils. Modelos matemáticos para las máquinas hidráulicas en el siglo XVIII
(/isis/citation/CBB000933318/)
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/)
Article
Andrew M. A. Morris;
(2020)
Evaluating John Theophilus Desaguliers' Newtonianism: The Case of Waterwheel Knowledge in a Course of Experimental Philosophy
(/isis/citation/CBB345436437/)
Book
Calero, Julián Simón;
(2007)
The Genesis of Fluid Mechanics, 1640--1780
(/isis/citation/CBB001450882/)
Article
Gilain, Christian;
(2008)
Mathématiques mixtes et mathématiques pures chez d'Alembert: le cas des systèmes différentiels linéaires
(/isis/citation/CBB001021138/)
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/)
Article
Roman Sznajder;
(2016)
On Known and Less Known Relations of Leonhard Euler with Poland / O znanych i mniej znanych relacjach Leonharda Eulera z Polską
(/isis/citation/CBB070750288/)
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/)
Article
Ferraro, Giovanni;
(2008)
The Integral as an Anti-Differential. An Aspect of Euler's Attempt to Transform the Calculus into an Algebraic Calculus
(/isis/citation/CBB000933315/)
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/)
Be the first to comment!