K A Polzin and E Y Choueiri 2003 J. Phys. D: Appl. Phys. 36 3156 doi:10.1088/0022-3727/36/24/011
K A Polzin and E Y Choueiri
Show affiliationsA similarity parameter for quasi-steady fluid flows advancing into horizontal capillary channels is presented. This parameter can be interpreted as the ratio of the average fluid velocity in the capillary channel to a characteristic velocity of quasi-steady capillary flows. It allows collapsing a large data set of previously published and recent measurements spanning five orders of magnitude in the fluid velocity, 14 different fluids, and four different geometries onto a single curve and indicates the existence of a universal prescription for such flows. On timescales longer than the characteristic time it takes for the flow to become quasi-steady, the one-dimensional momentum equation leads to a non-dimensional relationship between the similarity parameter and the penetration depth that agrees well with most measurements. Departures from that prescription can be attributed to effects that are not accounted for in the one-dimensional theory.
Issue 24 (21 December 2003)
Received 11 July 2003
Published 25 November 2003
K A Polzin and E Y Choueiri 2003 J. Phys. D: Appl. Phys. 36 3156
Yohannes Shiferaw and Yadin Y Goldschmidt 2000 J. Phys. A: Math. Gen. 33 4461
James P Gregory and Antonio Padilla 2003 Class. Quantum Grav. 20 4221
R. R. de Carvalho et al. 2005 The Astronomical Journal 130 425
A D Alhaidari 2006 J. Phys. A: Math. Gen. 39 15391
V Grecchi and A Sacchetti 2004 J. Phys. A: Math. Gen. 37 3527
P Jacquod and J -P Amiet 1995 J. Phys. A: Math. Gen. 28 4799
Carol J. Lonsdale et al. 2003 ApJ 592 804
J Grabowski et al 2004 J. Phys. A: Math. Gen. 37 5383
Michel Bauer and Denis Bernard 1999 J. Phys. A: Math. Gen. 32 5179