Y. Ogihara, PROPOSAL OF NEW COEFFICIENT INDICATING GENERATION OF AIR-ENTRAINING VORTICES, JSME international journal. Series B, fluids and thermal engineering, 37(4), 1994, pp. 789-794
This paper describes air-entraining vortices generated when water is d
rained from a vessel. The liquid used in this experiment is a mixture
of water and bentonite. By changing the mixing ratio, the coefficients
of kinematic viscosity of the liquid were changed to six values rangi
ng from 0.010 5 to 0.062 5 cm(2)/s. Air-core vortices and vortices wit
hout air core are not generated in liquid deeper than a certain depth.
Within the scope of this experiment, this depth increased with the in
crease of flow quantity. Also, it was found that vortices were not gen
erated at radial Reynolds number R(r), derived from the equation of mo
tion, lower than a certain value. For example, in liquids having the c
oefficients of kinematic viscosity upsilon = 0.0105 and 0.0652 cm(2)/s
, air-entrained vortices are not generated at R(r)<3 000 for the forme
r and R(r)< 800 for the latter. Although the inner diameters of efflue
nt pipes were 2.03, 3.23, and 5.15 cm, effects of the difference were
rarely found. However, it was found that the values of R(r) in this li
mit were reduced as the viscosity of liquids increased.