Article ID: CBB001211054

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

unapi

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.

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


Citation URI
https://data.isiscb.org/isis/citation/CBB001211054/

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Authors & Contributors
Caneva, Kenneth L.
Cahan, David L.
Villone, Barbara
Frisch, Uriel
Chalmers, Alan Francis
Underwood, Ted
Concepts
Physics
Conservation of energy (physical concept)
Mathematics
Continuity
Energy (physics)
Mechanics
Time Periods
19th century
17th century
18th century
Renaissance
Medieval
Enlightenment
Places
Great Britain
Japan
Italy
Germany
France
China
Institutions
Royal Society (Great Britain). European Science Exchange Programme
Académie des Sciences, Paris
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