The discharge coefficient of small holes drilled through a rotating cylinder wall were studied theoretically, as a fundamental study of the centrifugal gas-liquid or liquid-liquid contactor (fractionator, absorber, and extractor etc.).
The results are as follows :
(1) The discharge coefficient of a small hole drilled through a rotating cylinder wall is defined by the following equation,
(2) When the surface tension is taken into account, the discharge coefficient, Cσ in the following equation should be introduced.
(3) For the various practical cases mentioned below the following equations will hold.
(a) When in perfect orifice state:
(b) When in quasi-orifice state:
(c) When liquid stream flows between a and c indicated in Fig. 5, and when a capillary action is observed along the hole wall:
(d) When in nozzle state (assumingθ-β=60°):
(4) The effect of surface tension on the coefficient is negligible when the value of Weber number is larger than 1000.
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