Le Potentiel de Vitesse pour les Ecoulements de Fluides Réels: La Contribution de Joseph-Louis Lagrange

Chanson, Hubert (2007) Le Potentiel de Vitesse pour les Ecoulements de Fluides Réels: La Contribution de Joseph-Louis Lagrange. La Houille Blanche, 5: 127-131.

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Author Chanson, Hubert
Title Le Potentiel de Vitesse pour les Ecoulements de Fluides Réels: La Contribution de Joseph-Louis Lagrange
Translated title Velocity Potential in Real Fluid Flows: Joseph-Louis Lagrange's Contribution
Journal name La Houille Blanche   Check publisher's open access policy
ISSN 0018-6368
Publication date 2007-10-31
Year available 2007
Sub-type Article (original research)
DOI 10.1051/lhb:2007072
Issue 5
Start page 127
End page 131
Total pages 5
Language fre
Subject 240000 Physical Sciences
240500 Classical Physics
240502 Fluid Physics
290000 Engineering and Technology
290800 Civil Engineering
290802 Water and Sanitary Engineering
291800 Interdisciplinary Engineering
291803 Turbulent Flows
Abstract Today the concept of "potential flow" is too often associated, wrongly, with the notion of ideal, hence inviscid fluid. Herein the original development of Joseph-Louis LAGRANGE is presented. He introduced the velocity potential for real fluid flows, provided that the resultant of the forces derives from a potential. In the same article, LAGRANGE also presented the concept of stream function and the equation of the celerity of a small disturbance in shallow-water. LAGRANGE made an outstanding contribution in 1781 and he was truly ahead of his time.
Keyword Velocity potential
Irrotational flow motion
Real fluids
Joseph-Louis LAGRANGE
Stream function
Wave celerity
References BORDA, J.C. de (1766). "Mémoire sur l'Ecoulement des Fluides par les Orifices des Vases." Mémoires de l'Académie Royale des Sciences, Paris, pp. 579-607. CHANSON, H. (2004). "The Hydraulics of Open Channel Flows : An Introduction." Butterworth-Heinemann, Oxford, UK, 2nd edition, 630 pages. CHANSON, H., AOKI, S., et MARUYAMA, M. (2002). "Unsteady Two-Dimensional Orifice Flow: a Large-Size Experimental Investigation." Jl of Hyd. Res., IAHR, Vol. 40, No. 1, pp. 63-71. GUYON, E., HULIN, J.P., et PETIT, L. (1991). "Hydrodynamique Physique." Savoirs Actuels, InterEditions/CNRS Editions, Paris, France, 506 pages. HELE-SHAW, H.J.S. (1898). "Investigation of the Nature of the Surface Resistance of Water and of Stream-line Motion under Certain Experimental Conditions." Trans. Inst. Naval Architects, UK, Vol. 40. HENDERSON, F.M. (1966). "Open Channel Flow." MacMillan Company, New York, USA. JOSEPH, D.D. (2006). "Potential Flow of Viscous Fluids: Historical Notes." Intl Jl of Multiphase Flow, Vo.l. 32, No. 3, pp. 285-310. LAGRANGE, J.L. (1781). "Mémoire sur la Théorie du Mouvement des Fluides." dans Oeuvres de Lagrange, Gauthier-Villars, Paris, France, Vol. 4, pp. 695- 748 (imprimé en 1867, J.A. SERRET Editeur). LAGRANGE, J.L. (1781). "Mémoire sur la Théorie du Mouvement des Fluides." dans Oeuvres de Lagrange, Gauthier-Villars, Paris, France (imprimé en 1882). La Houille Blanche (1957). "Lagrange." Jl La Houille Blanche, Vol. 12, No. A, p. 244. LAMB, H. (1932). "Hydrodynamics." Cambridge University Press, 6th Ed., 738 pages. LEVI, E. (1995). "The Science of Water. The Foundation of Modern Hydraulics." ASCE Press, New York, USA, 649 pages. LIGHTHILL, J. (1986). "An Informal Introduction to Theoretical Fluid Mechanics." Clarendon Press, Oxford, UK, IMA Monograph series, 260 pages. ROUSE, H. (1938). "Fluid Mechanics for Hydraulic Engineers." McGraw-Hill Publ., New York, USA (aussi Dover Publ., New York, USA, 1961, 422 pages) ROUSE, H., et INCE, S. (1957). "History of Hydraulics." Iowa Institute of Hydraulic Research Publ., Iowa City, USA, 269 pages. STOKES, G. (1851). "On the Effect of Internal Friction of Fluids on the Motion of Pendulums." Trans. Camb. Phil. Soc., Vol. 9, Part II, pp. 8-106. STREETER, V.L. (1948). "Fluid Dynamics." McGraw-Hill Publications in Aeronautical Science, New York, USA. VALLENTINE, H.R. (1969). "Applied Hydrodynamics." Butterworths, London, UK, SI edition. VIOLLET, P.L., CHABARD, J.P., ESPOSITO, P., et LAURENCE, D. (2002). "Mécanique des Fluides Appliquée. Ecoulements Incompressibles dans les Circuits, Canaux et Rivières, autour des Structures et dans l'Environnement." Presses des Ponts et Chaussées, Paris, France, 2ème édition, 367 pages. Internet references {http://www-groups.dcs.st-and.ac.uk/~history/BiogIndex.html} Biographies of well-known mathematicians {http://www.uq.edu.au/~e2hchans/civ4160.html#Lecture%20material} Photographs of Hele-Shaw cell flows {http://www.polytechnique.fr/institution/historique.php} Ecole Polytechnique, Historique {http://www.ens.fr/ecole/presentation.php} Ecole Normale Supérieure, Historique
Q-Index Code CX
Additional Notes The full bibliographic details are: CHANSON, H. (2007). "Le Potentiel de Vitesse pour les Ecoulements de Fluides Réels: la Contribution de Joseph-Louis Lagrange." ('Velocity Potential in Real Fluid Flows: Joseph-Louis Lagrange's Contribution.') Journal La Houille Blanche, No. 5, pp. 127-131 (DOI: 10.1051/lhb:2007072) (ISSN 0018-6368) (in French).

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Sub-type: Article (original research)
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Created: Wed, 31 Oct 2007, 07:10:53 EST by Hubert Chanson on behalf of Research Management Office