IsisCB Explore

Article ID: CBB001211054

“Continuity and Change”: Representing Mass Conservation in Fluid Mechanics (2013)

Craik, Alex D. D. (Author)

Archive for History of Exact Sciences
Volume: 67, no. 1
Issue: 1
Pages: 43-80
Publication date: 2013
Language: English

Outside Links

WorldCat

Google Scholar

JSTOR

Conservation of energy (physical concept) Continuity Mass Fluid mechanics Equations and formulae Physics 17th century 18th century 19th century

The evolution of the equation of mass conservation in fluid mechanics is studied. Following early hydraulic approximations, and progress by Daniel and Johann Bernoulli, its first expression as a partial differential equation was achieved by d'Alembert, and soon given definitive form by Euler. Later reworkings by Lagrange, Laplace, Poisson and others advanced the subject, but all based their derivations on the conserved mass of a moving fluid particle. Later, Duhamel and Thomson gave a simpler derivation, by considering mass flow into and out of a fixed portion of space. The later propagation of these derivations in nineteenth-century British textbooks and treatises is also examined, including Maxwell's on the kinetic theory of gases.

...More

Description On work from the 17th to the 19th centuries.

Citation URI

data.isiscb.org/p/isis/citation/CBB001211054

This citation is part of the Isis database.

Citations Indexes

Similar Citations

Book Davide Arecco; (2021)
Brook Taylor e l'analisi matematica tra XVII e XVIII secolo (/p/isis/citation/CBB087426214/)

Article Strien, Marij van; (2014)
On the Origins and Foundations of Laplacian Determinism (/p/isis/citation/CBB001320768/)

Book Rommevaux, Sabine; (2010)
Mathématiques et connaissance du monde réel avant Galilée (/p/isis/citation/CBB001023160/)

Article Boulier, Philippe; (2010)
Le problème du continu pour la mathématisation galiléenne et la géométrie cavalierienne (/p/isis/citation/CBB001031511/)

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

Book Alan F. Chalmers; (2017)
One Hundred Years of Pressure: Hydrostatics from Stevin to Newton (/p/isis/citation/CBB977153973/)

Book Dalitz, Richard H.; Nauenberg, Michael; (2000)
The Foundations of Newtonian Scholarship (/p/isis/citation/CBB000110610/)

Review Peter Heering; (2018)
Review of "One Hundred Years of Pressure: Hydrostatics from Stevin to Newton" (/p/isis/citation/CBB285082760/)

Book Shea, William R.; (2003)
Designing Experiments and Games of Chance: The Unconventional Scienceof Blaise Pascal (/p/isis/citation/CBB000740239/)

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

Article Luca Guzzardi; (2014)
Energy, Metaphysics, and Space: Ernst Mach’s Interpretation of Energy Conservation as the Principle of Causality (/p/isis/citation/CBB745246152/)

Article Kenneth L. Caneva; (2019)
Helmholtz, the Conservation of Force and the Conservation of Vis Viva (/p/isis/citation/CBB534439403/)

Article Ricardo Lopes Coelho; (2014)
On the Concept of Energy: Eclecticism and Rationality (/p/isis/citation/CBB422366227/)

Article Cahan, David; (2012)
The Awarding of the Copley Medal and the “Discovery”of the Law of Conservation of Energy: Joule, Mayer and Helmholtz Revisited (/p/isis/citation/CBB001251433/)

Article Cahan, David; (2012)
Helmholtz and the British Scientific Elite: From Force Conservation to Energy Conservation (/p/isis/citation/CBB001220431/)

Chapter Underwood, Ted; (2006)
How Did the Conservation of Energy Become “The Highest Law in All Science”? (/p/isis/citation/CBB001232435/)

Article Guedj, Muriel; (2006)
Du concept de travail vers celui d'énergie: L'apport de Thomson (/p/isis/citation/CBB000760016/)

Book Kenneth L. Caneva; (2021)
Helmholtz and the Conservation of Energy: Contexts of Creation and Reception (/p/isis/citation/CBB993217041/)

Article Ducheyne, Steffen; (2011)
Testing Universal Gravitation in the Laboratory, or the Significance of Research on the Mean Density of the Earth and Big G, 1798--1898: Changing Pursuits and Long-Term Methodological--Experimental Continuity (/p/isis/citation/CBB001034295/)

Article Banks, Erik C.; (2002)
Ernst Mach's “New Theory of Matter” and His Definition of Mass (/p/isis/citation/CBB000300602/)