Viscous entrainment from a nozzle: Singular liquid spouts

Physical Review Letters

Volumn 93, Issue 18, 2004, Pages

  Zhang, Wendy W ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; FLUID DYNAMICS; MATHEMATICAL MODELS; NOZZLES; PHASE TRANSITIONS; PROBLEM SOLVING; VISCOSITY;

AIR BUBBLES; ENTRAINMENT TRANSITION; NOZZLE RADIUS;

AIR ENTRAINMENT;

EID: 19744382230     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.184502     Document Type: Article

References (13)

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10. 2 is a higher order term than 1/R, its presence is essential as it represents the physical mechanism by which short-wavelength disturbances are in reality smoothed out.
11. For the same nozzle boundary conditions, other values of Q give rise to unphysical R(z) shapes, some of which terminate or blow up at finite z. Others bulge and contract along z.
12. Figure 3 uses the rescaling convention H(z = 0) = 1.
13. To ensure that the small-scale structure in the neighborhood of z* is properly resolved, we use a grid scheme whose spacing is weighted by the local axial curvature.