Craik, Alex D. D. (Author)
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.
...MoreDescription On work from the 17th to the 19th centuries.
Article
Strien, Marij van;
(2014)
On the Origins and Foundations of Laplacian Determinism
(/isis/citation/CBB001320768/)
Book
Davide Arecco;
(2021)
Brook Taylor e l'analisi matematica tra XVII e XVIII secolo
(/isis/citation/CBB087426214/)
Article
Luo, Jianjin;
(2003)
On the Development of the Formulae for Sums of Integers
(/isis/citation/CBB000774899/)
Article
Ricardo Lopes Coelho;
(2014)
On the Concept of Energy: Eclecticism and Rationality
(/isis/citation/CBB422366227/)
Article
Kenneth L. Caneva;
(2019)
Helmholtz, the Conservation of Force and the Conservation of Vis Viva
(/isis/citation/CBB534439403/)
Article
Guedj, Muriel;
(2006)
Du concept de travail vers celui d'énergie: L'apport de Thomson
(/isis/citation/CBB000760016/)
Book
Kenneth L. Caneva;
(2021)
Helmholtz and the Conservation of Energy: Contexts of Creation and Reception
(/isis/citation/CBB993217041/)
Article
Cahan, David;
(2012)
Helmholtz and the British Scientific Elite: From Force Conservation to Energy Conservation
(/isis/citation/CBB001220431/)
Article
Boulier, Philippe;
(2010)
Le problème du continu pour la mathématisation galiléenne et la géométrie cavalierienne
(/isis/citation/CBB001031511/)
Article
Guilbaud, Alexandre;
(2008)
La “loi de continuité” de Jean Bernoulli à d'Alembert
(/isis/citation/CBB000933175/)
Book
Rommevaux, Sabine;
(2010)
Mathématiques et connaissance du monde réel avant Galilée
(/isis/citation/CBB001023160/)
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
(/isis/citation/CBB001251433/)
Chapter
Underwood, Ted;
(2006)
How Did the Conservation of Energy Become “The Highest Law in All Science”?
(/isis/citation/CBB001232435/)
Article
Luca Guzzardi;
(2014)
Energy, Metaphysics, and Space: Ernst Mach’s Interpretation of Energy Conservation as the Principle of Causality
(/isis/citation/CBB745246152/)
Review
Peter Heering;
(2018)
Review of "One Hundred Years of Pressure: Hydrostatics from Stevin to Newton"
(/isis/citation/CBB285082760/)
Book
Dalitz, Richard H.;
Nauenberg, Michael;
(2000)
The Foundations of Newtonian Scholarship
(/isis/citation/CBB000110610/)
Book
Shea, William R.;
(2003)
Designing Experiments and Games of Chance: The Unconventional Scienceof Blaise Pascal
(/isis/citation/CBB000740239/)
Article
Frisch, Uriel;
Villone, Barbara;
(2014)
Cauchy's Almost Forgotten Lagrangian Formulation of the Euler Equation for 3D Incompressible Flow
(/isis/citation/CBB001421685/)
Article
Eckert, Michael;
(2002)
Euler and the Fountains of Sanssouci
(/isis/citation/CBB000300069/)
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
(/isis/citation/CBB001034295/)
Be the first to comment!