Article ID: CBB776843735

Bernoullian Influences on Leonhard Euler’s Early Fluid Mechanics (2019)


Today, Leonhard Euler receives most of the credit for developing the basic theory of fluids, and modern fluid mechanics is indeed descended from his original insights. However, fluid mechanics as originally conceived by Euler is strikingly different in appearance from today’s treatment of the subject. Here, we examine two of Euler’s earliest works in fluid mechanics – first, an extract from a letter to Johann Bernoulli, and second, an early manuscript published many years after it was written. From these works, we see the influence that Daniel and Johann Bernoulli had on the development of Euler’s ideas.

Citation URI

Similar Citations

Article Elisa Patergnani; Luigi Pepe; (2021)
Les mathématiciens français et italiens du «siècle long»: 1700-1814 (/isis/citation/CBB124027972/)

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

Book Paolo Freguglia; Mariano Giaquinta; (2016)
The Early Period of the Calculus of Variations (/isis/citation/CBB578052686/)

Chapter Cerulus, Frans A.; (2006)
Daniel Bernoulli and Leonhard Euler on the Jetski (/isis/citation/CBB000774232/)

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

Article Sylvio R. Bistafa; (2015)
Euler’s Friction of Fluids Theory and the Estimation of Fountain Jet Heights (/isis/citation/CBB846198439/)

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

Article Fonteneau, Yannick; (2008)
D'Alembert et Daniel Bernoulli face au concept de travail mécanique (/isis/citation/CBB000933176/)

Article John T. E. Richardson; (2019)
Who Introduced Western Mathematicians to Latin Squares? (/isis/citation/CBB832982278/)

Article Parker, Adam E.; (2013)
Who Solved the Bernoulli Differential Equation and How Did They Do It? (/isis/citation/CBB001320027/)

Article Nauenberg, M.; (2010)
The Early Application of the Calculus to the Inverse Square Force Problem (/isis/citation/CBB001021999/)

Article Barnett, Janet Heine; (2004)
Enter, Stage Center: The Early Drama of the Hyperbolic Functions (/isis/citation/CBB000771954/)

Article Darrigol, Olivier; (2007)
The Acoustic Origins of Harmonic Analysis (/isis/citation/CBB000772559/)

Article Pradier, Pierre-Charles; Riecau, Nicolas; (2008)
D'Alembert et D. Bernoulli au sujet de l'inoculation de la petite vérole (/isis/citation/CBB000933178/)

Article Guilbaud, Alexandre; (2008)
La “loi de continuité” de Jean Bernoulli à d'Alembert (/isis/citation/CBB000933175/)

Article Peiffer, Jeanne; (2006)
Jacob Bernoulli, maître et rival de son frère Johann (/isis/citation/CBB001021364/)

Authors & Contributors
Bertoloni Meli, Domenico
Eckert, Michael
Barnett, Janet Heine
Darrigol, Olivier
Cerulus, Frans A.
Guilbaud, Alexandre
Bollettino di Storia delle Scienze Matematiche
Archive for History of Exact Sciences
Historical Studies in the Physical and Biological Sciences
Mathematics Magazine
Quaderns d'Història de l'Enginyeria
Archives Internationales d'Histoire des Sciences
Springer International
Fluid mechanics
Euler, Leonhard
Bernoulli, Johann
Bernoulli, Daniel
Alembert, Jean le Rond d'
Leibniz, Gottfried Wilhelm von
Bernoulli, Jakob
Time Periods
18th century
17th century
19th century
Paris (France)
Basel (Switzerland)
London (England)

Be the first to comment!

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

Log in or register to comment