Mechanism of swirl generation in sink flow

This paper aims to study the possibility of swirl generation in the sink flow in the absence of external fac-tors, i.e., self-rotation. It is motivated by the fact that there is no consensus among the researchers about either the possibility or impossibility of this phenomenon. The axi-symmetric model of the problem is simulated using a stream function-vorticity-circulation formulation. The results showed that there is not sudden change in the value of azimuthal velocity and circulation. Therefore the flow is stable for all the Re numbers tested (i.e., 0.265 < Re < 5.3). In addition, it is concluded that, in general, the self-rotation phenomenon would not occur for two reasons: first, the net value of circulation in the flow domain would not increase relative to its inlet value; second, the current numerical simulations, which also agree with the previous experimental results, show that appearance and non-appearance of swirl is related to viscous force. DOI: http://dx.doi.org/10.5755/j01.mech.19.6.5998

[1]  Kenneth E. Torrance,et al.  Natural convection in thermally stratified enclosures with localized heating from below , 1979, Journal of Fluid Mechanics.

[2]  Mitsuaki Funakoshi,et al.  Surface waves due to resonant horizontal oscillation , 1988, Journal of Fluid Mechanics.

[3]  E. Sanmiguel-Rojas,et al.  Nonlinear instabilities in a vertical pipe flow discharging from a cylindrical container , 2005 .

[4]  P. Drazin Introduction to Hydrodynamic Stability , 2002 .

[5]  A. Andersen,et al.  Structure of a steady drain-hole vortex in a viscous fluid , 2010, Journal of Fluid Mechanics.

[6]  Fazle Hussain,et al.  COLLAPSE, SYMMETRY BREAKING, AND HYSTERESIS IN SWIRLING FLOWS , 1999 .

[7]  J. Gollub,et al.  Vortex Flow in Nature and Technology , 1985 .

[8]  E. Sanmiguel-Rojas,et al.  On the appearance of swirl in a confined sink flow , 2000 .

[9]  K. Haugen,et al.  An impulsive bathtub vortex , 2005 .

[10]  J. Vanden-Broeck,et al.  A NOTE ON WITHDRAWAL FROM A FLUID OF FINITE DEPTH THROUGH A POINT SINK , 2002 .

[11]  Tatsuyuki Kawakubo,et al.  Formation of a vortex around a sink: A kind of phase transition in a nonequilibrium open system , 1978 .

[12]  R. Tanner,et al.  The Bath-Tub Vortex in the Southern Hemisphere , 1965, Nature.

[13]  A. Shapiro,et al.  Bath-Tub Vortex , 1962, Nature.

[14]  T. Noguchi,et al.  Structure of a bathtub vortex: importance of the bottom boundary layer , 2010 .

[15]  E. Shcherbinin Electrically Induced Vortical Flows , 1988 .

[16]  A. Klimenko Moderately Strong Vorticity in a Bathtub-Type Flow , 2001 .