Comptes Rendus
Article historique
Correspondence between de Saint-Venant and Boussinesq. 4: The role of Frédéric Reech
Comptes Rendus. Mécanique, Volume 348 (2020) no. 8-9, pp. 705-727.

Frédéric Reech was a notable French naval engineer, whose name is particularly known for his role in the theory of mechanical similitude. Based on a submission of a paper to the Academy of Sciences, Paris, de Saint-Venant (dSV) had to deal with it, given his role as president of the Mechanics Section. Part 2 of this work deals with the exchange of letters between dSV and Boussinesq on the theory of permanent waves, the topic addressed by Reech in his submission. Given the relevance of Reech in hydraulic modeling, and the poor knowledge on both his career and his biography, part 1 deals with a hardly known publication of Moritz Weber, the namesake of the Froude number in 1919. He changed this later into the Reech number, based on detailed researches on Reech’s career as a naval engineer, professor at the Marine School of Lorient, and his writings. This paper therefore both accounts for the Correspondence and the excellent work of Weber, whose name is kept in the Weber number for effects of capillarity.

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DOI : 10.5802/crmeca.57
Mots clés : Academy of Sciences, Biography, History of hydraulics, Periodic waves, Shallow water equations

Willi H. Hager 1 ; Kolumban Hutter 2 ; Oscar Castro-Orgaz 3

1 VAW, ETH Zurich, CH-8093 Zurich, Switzerland
2 c/o VAW, ETH Zurich, CH-8093 Zurich, Switzerland
3 University of Cordoba, Campus Rabanales, E-14071 Cordoba, Spain
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     journal = {Comptes Rendus. M\'ecanique},
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Willi H. Hager; Kolumban Hutter; Oscar Castro-Orgaz. Correspondence between de Saint-Venant and Boussinesq. 4: The role of Frédéric Reech. Comptes Rendus. Mécanique, Volume 348 (2020) no. 8-9, pp. 705-727. doi : 10.5802/crmeca.57. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.57/

[1] M. Weber Die Grundlagen der Ähnlichkeitsmechanik und ihre Verwertung bei Modellversuchen (The basics of the mechanics of similitude and its application to model tests), Jahrbuch der Schiffbautechnischen Gesellschaft, Volume 20 (1919), pp. 355-477 (in German)

[2] M. Weber Der Schiffswiderstand vom Standpunkte der Ähnlichkeitswissenschaft aus geschichtlich-kritisch dargestellt unter besonderer Würdigung der Verdienste Friedrich Reechs, des Schöpfers der Hauptmodellgesetze des Schiffbaus (The ship resistance based on the historical-critical science of similitude presented with special appreciation of the merits of Friedrich Reech, the creator of the main model laws of shipbuilding), Jahrbuch der Schiffbautechnischen Gesellschaft, Volume 43 (1942), pp. 120-184 (in German)

[3] W. H. Hager; K. Hutter; O. Castro-Orgaz Correspondence between de Saint-Venant and Boussinesq. 1: Birth of the Shallow-Water Equation, C. R. Méc., Volume 347 (2019) no. 9, pp. 1-31 | DOI

[4] W. H. Hager; K. Hutter; O. Castro-Orgaz Correspondence between de Saint-Venant and Boussinesq. 2: Boussinesq’s professional and private life up to 1886, C. R. Méc., Volume 348 (2020) no. 2, pp. 77-111

[5] W. H. Hager; K. Hutter; O. Castro-Orgaz Correspondence between de Saint-Venant and Boussinesq. 3: de Saint-Venant’s professional career and private life, C. R. Méc., Volume 348 (2020) no. 4, pp. 245-273

[6] A. Schwartz Frédéric Reech, 1917 Archives de l’Ecole du Génie Maritime, Lorient (Report typed on typewriter in French)

[7] W. H. Hager; O. Castro-Orgaz William Froude and the Froude number, J. Hydraul. Eng., Volume 143 (2017) no. 4, 02516005 | DOI

[8] S. Carnot Réflexions sur la puissance motrice du feu et sur les machines propres à développer cette puissance (Reflections on the driving power of fire and the machines to develop this power), Bachelier, Paris, 1824 (in French). German translation in Ostwalds Klassikern Nr. 37, Harry Deutsch, Leipzig (in German)

[9] E. Clapeyron Mémoire sur la puissance motrice de la chaleur (Memoir on the driving power of heat), J. Ec. Polytech., Volume 23 (1834), pp. 153-190 (in French). German translation in Poggendorffs Annalen 59 (1843), 446–450 and 59, 566–586 (in German)

[10] J. Pollard; A. Dudebout Architecture navale: Théorie du navire (Naval architecture: Theory of boats), Gauthier-Villars, Paris, 1890 (in French) | Zbl

[11] A.-J. de la Poix de Fréminville Théorie du roulis et du tangage (Theory of rolling and pitching), Mémorial Génie Maritime (1870) no. 3 (in French)

[12] A. C. Chick The principle of similitude, Hydraulic Laboratory Practice (J. R. Freeman, ed.), ASME, New York, 1929, pp. 775-827

[13] L. E. Bertin Etude sur la houle et le roulis (Study on the swell and the rolling), Mémoires de la Société des Sciences Naturelles et Mathématiques, Cherbourg, Volume 15 (1869), pp. 5-44 15, p. 313-355 (in French)

[14] J. Boussinesq Essai sur la théorie des ondes liquides périodiques (Essay on the theory of periodic liquid waves), C. R. Acad. Sci., Volume 68 (1869) no. 16, pp. 905-906 (in French) | Zbl

[15] J. Boussinesq Théorie des ondes liquides périodiques (Theory of periodic liquid waves), Mém. Présentés par divers Savants Acad. Sci., Volume 20 (1872), pp. 509-615 (in French)

[16] Adhémar Barré de Saint-Venant Rapport fait à l’Académie des Sciences sur un Mémoire de M. Boussinesq, présenté le 19 avril 1869, avec additions du 29 novembre, et relatif à la théorie des ondes liquides périodiques (Report for the Academy of sciences on a Memoir of Mr. Boussinesq on the theory of liquid periodic waves), Journal de Mathématiques pures et Appliquées, Volume 16 (1871), pp. 21-30 (in French)

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