Finger velocities in the lifting Hele-Shaw cell

作者: Subrata K. Kabiraj , Sujata Tarafdar

DOI: 10.1016/S0378-4371(03)00523-5

关键词: Pneumatic cylinderMechanicsHele-Shaw flowPhysicsConstant forceGeometryCorrelation coefficient

摘要: Abstract Velocities of viscous fingers growing in a lifting Hele–Shaw cell are studied. The plates separated by pneumatic cylinder arrangement exerting constant force. It is observed that with air invading non-Newtonian oil-paint, finger velocities show an anomalous behaviour, rapid growth towards the end process. correlation coefficient between neighbouring shows dominant modes selected as pattern develops.

参考文章(12)
K.V. McCloud, J.V. Maher, Experimental perturbations to Saffman-Taylor flow Physics Reports. ,vol. 260, pp. 139- 185 ,(1995) , 10.1016/0370-1573(95)91133-U
Didi Derks, Anke Lindner, Costantino Creton, Daniel Bonn, Cohesive failure of thin layers of soft model adhesives under tension Journal of Applied Physics. ,vol. 93, pp. 1557- 1566 ,(2003) , 10.1063/1.1533095
E. Ben-Jacob, R. Godbey, Nigel D. Goldenfeld, J. Koplik, H. Levine, T. Mueller, L. M. Sander, Experimental demonstration of the role of anisotropy in interfacial pattern formation. Physical Review Letters. ,vol. 55, pp. 1315- 1318 ,(1985) , 10.1103/PHYSREVLETT.55.1315
Michael J Shelley, Fei-Ran Tian, Krzysztof Wlodarski, Hele - Shaw flow and pattern formation in a time-dependent gap Nonlinearity. ,vol. 10, pp. 1471- 1495 ,(1997) , 10.1088/0951-7715/10/6/005
A. Roy, S. Roy, A.J. Bhattacharyya, S. Banerjee, S. Tarafdar, Discrete scale invariance in viscous fingering patterns European Physical Journal B. ,vol. 12, pp. 1- 3 ,(1999) , 10.1007/S100510050966
H. S. HELE-SHAW, The Flow of Water Nature. ,vol. 58, pp. 34- 36 ,(1898) , 10.1038/058034A0
Cyprien Gay, Ludwik Leibler, Theory of Tackiness Physical Review Letters. ,vol. 82, pp. 936- 939 ,(1999) , 10.1103/PHYSREVLETT.82.936
S. TARAFDAR, S. ROY, TREE PATTERNS ON VISCOUS PASTE SURFACES Fractals. ,vol. 03, pp. 99- 103 ,(1995) , 10.1142/S0218348X95000096
J Bohr, S Brunak, T Nørretranders, Viscous trees and Voronoi-structure formation in expanding systems EPL. ,vol. 25, pp. 245- 252 ,(1994) , 10.1209/0295-5075/25/4/002