Hele-Shaw Flows: Historical Overview

More documents

Recommendations

Info

Richardson’s Moments Ω(t) ⊂ Ω(s) for 0 < t < s < t0, and Mn(t) = He proved that Ω(t) z n dxdy = M0(t) = M0(0) − Qt, U f n (ζ,t)|f ′ (ζ,t)| 2 dξdη, Mn(t) = Mn(0), for n ≥ 1. Connections with the inverse problem of Potential Theory. Future connections with integrable systems. BIRS, Canada, July 2007 – p. 74
MODERN PERIOD 1981–PRESENT • Nowadays, the <strong>Hele</strong>-<strong>Shaw</strong> cell is widely used as a powerful tool in several fields of natural sciences and engineering, in particular, matter physics, material science, crystal growth and, of course, fluid mechanics. • 145 000 Google references. • Impossible to review all developments. BIRS, Canada, July 2007 – p. 75
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 15 and 16:
Page 17 and 18:
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 and 26:
Hele-Shaw’s inventions Two greate
Page 27 and 28:
Hele-Shaw’s inventions • Specia
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
Page 77 and 78: The proof of local existence BIRS,
Page 79 and 80: Flows in Porous Media Random struct
Page 81 and 82: Examples of Porous Media Rock, BIRS
Page 83 and 84: Darcy’s Low Henry Philibert Gaspa
Page 85 and 86: Oil Recovery BIRS, Canada, July 200
Page 87 and 88: Microscopic Image Beginning of reco
Page 89 and 90: Fingering Phenomenon Modelling by t
Page 91 and 92: UK CONTRIBUTION BIRS, Canada, July
Page 93 and 94: Saffman-Taylor Finger Mathematical
Page 95 and 96: Philip G. Saffman Philip Geoffrey S
Page 97 and 98: Conformal formulation Saffman-Taylo
Page 99 and 100: Selection Problem This proposal was
Page 101: Richardson: Modern Period BIRS, Can
Page 105 and 106: Evolution Geometry Björn Gustafsso
Page 107 and 108: Other Models Witten, Sander, Hastin
Page 109 and 110: Multi-dimensional flows, PDE Caffar
Page 111 and 112: Integrable Systems (2000-2007) P.Wi
Page 113 and 114: Integrable Systems (2000-2007) The
Page 115 and 116: Recommended Reading Two monographs:
show all

Hele-Shaw Flows: Historical Overview

Create successful ePaper yourself

Delete template?

Save as template?