Hele-Shaw Flows: Historical Overview

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Hele-Shaw’s inventions Two greatest inventions: Stream-line Flow Methods (1896-1900) and Automatic Variable-Pitch Propeller (1924), jointly with T. Beacham. Apart form these two: • Earliest original work (1881): the measurement of wind velocity (Tay Bridge disaster, 28 December 1879); Invention of a new integrating anemometer. BIRS, Canada, July 2007 – p. 13
Hele-Shaw’s inventions • Special stream-line filter to purify water from oil pollution. • Hele-Shaw (the first) Friction Clutch (1905) for cars, patent #GB795974. At a notable Paris Motor Show (1907) about 80% exhibited cars had the Hele-Shaw clutch. BIRS, Canada, July 2007 – p. 14
Page 1 and 2: Hele-Shaw Flows: Historical Overvie
Page 3 and 4: Henri Selby Hele-Shaw ... an exampl
Page 5 and 6: 1871-1876 At the age of 17 he finis
Page 7 and 8: 1885-1904 In 1885 Hele-Shaw was inv
Page 9 and 10: 1906-1941 Upon returning from South
Page 11 and 12: 1906-1941 Upon returning from South
Page 13 and 14: 1906-1941 Hele-Shaw took a very act
Page 19 and 20: 1906-1941 One of his greatest contr
Page 21 and 22: 1906-1941 Hele-Shaw was a man of gr
Page 23 and 24: 1906-1941 Hele-Shaw was a man of gr
Page 25: Hele-Shaw’s inventions Two greate
Page 29 and 30: Hele-Shaw’s inventions H. S. Hele
Page 31 and 32: Hele-Shaw’s inventions Further de
Page 33 and 34: Hele-Shaw Prizes • Hele-Shaw Priz
Page 35 and 36: Stream-line Flow Methods The most n
Page 37 and 38: Stream-line Flow Methods In 1897 He
Page 39 and 40: Experiment by Reynolds O. Reynolds
Page 41 and 42: Experiment by Reynolds O. Reynolds
Page 43 and 44: Hele-Shaw Cell Hele-Shaw got the Go
Page 45 and 46: Hele-Shaw Papers • Experiments on
Page 47 and 48: USSR CONTRIBUTION BIRS, Canada, Jul
Page 49 and 50: Stokes-Leibenzon Model Leonid Samui
Page 51 and 52: Stokes-Leibenzon Model x3 h 0 x1,x3
Page 53 and 54: Stokes-Leibenzon Model Ω(t) 0 y
Page 55 and 56: Stokes-Leibenzon Model Ω(t) 0 y
Page 57 and 58: Free Boundary Problem • ∆p = Q
Page 59 and 60: P. Ya. Polubarinova-Kochina Pelagey
Page 61 and 62: P. Ya. Polubarinova-Kochina In 1921
Page 63 and 64: P. Ya. Polubarinova-Kochina In 1958
Page 65 and 66: L. A. Galin Lev Alexandrovich Galin
Page 67 and 68: Hele-Shaw problem P. Ya. Polubarino
Page 69 and 70: Papers • P. Ya. Polubarinova-Koch
Page 71 and 72: P. P. Kufarev Pavel Parfenievich Ku
Page 73 and 74: Kufarev’s exact solutions 1947-19
Page 75 and 76: Kufarev’s exact solutions 1947-19
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The proof of local existence BIRS,
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Flows in Porous Media Random struct
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Examples of Porous Media Rock, BIRS
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Darcy’s Low Henry Philibert Gaspa
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Oil Recovery BIRS, Canada, July 200
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Microscopic Image Beginning of reco
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Fingering Phenomenon Modelling by t
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UK CONTRIBUTION BIRS, Canada, July
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Saffman-Taylor Finger Mathematical
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Philip G. Saffman Philip Geoffrey S
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Conformal formulation Saffman-Taylo
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Selection Problem This proposal was
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Richardson: Modern Period BIRS, Can
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MODERN PERIOD 1981-PRESENT • Nowa
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Evolution Geometry Björn Gustafsso
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Other Models Witten, Sander, Hastin
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Multi-dimensional flows, PDE Caffar
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Integrable Systems (2000-2007) P.Wi
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Integrable Systems (2000-2007) The
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Recommended Reading Two monographs:
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