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The American Society of Mechanical Engineers

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GONGWER—A THEORY OF CAVITATION FLOW IN CENTRIFUGAL-PUM P IM PELLERS 33<br />

<strong>of</strong>f and the 0.5 per cent point, here labeled th e line <strong>of</strong> cavitation<br />

inception, for a num ber <strong>of</strong> cavitation runs taken, as described,<br />

a t different values <strong>of</strong> C2 over th e pum p range <strong>of</strong> capacities. From<br />

measurements <strong>of</strong> the vane setting, point A has been found to<br />

correspond to zero angle <strong>of</strong> attack <strong>of</strong> the vane leading edges in<br />

accordance w ith Equation [9], <strong>The</strong> close spacing <strong>of</strong> th e tw o<br />

lines, <strong>of</strong> cavitation inception and break<strong>of</strong>f, a t point A corresponds<br />

to a very sharp break<strong>of</strong>f in the head as the suction head<br />

is lowered. <strong>The</strong> discontinuities a t B and C have been found to<br />

occur for the pumps tested wherever the data have been taken<br />

over a sufficient range <strong>of</strong> capacities and will be discussed later.<br />

In Figs. 7, 8, and 9, actual cavitation data are plotted in this<br />

form. <strong>The</strong> first two plots are for several impellers w ith the same<br />

eye design and widely differing outside diam eters. Since, however,<br />

the same foundry p attern w as not used for all th e impellers<br />

and slight differences in vane thickness, setting, and spacing<br />

unavoidably occurred, there is a slight scatter in the points <strong>of</strong><br />

the break<strong>of</strong>f curve. <strong>The</strong> scatter is seen to become progressively<br />

greater as the degree <strong>of</strong> cavitation decreases and the reason for<br />

this is apparent from Fig. 1 in th e low slope <strong>of</strong> th e head curve<br />

at high suction heads. However, careful inspection <strong>of</strong> these<br />

points has shown th a t the differences in results among the impellers<br />

<strong>of</strong> different outside diam eters is <strong>of</strong> small order w ith respect<br />

to the scatter for any one impeller and, therefore, th e plots have<br />

been considered to represent eye performance only. <strong>The</strong> importance<br />

<strong>of</strong> this fact is emphasized, particularly in th e light <strong>of</strong> the<br />

interpretation which is put on point B, Figs. 5 and 6, in the<br />

discussions which follow.<br />

From th e nature <strong>of</strong> th e three cavitation indexes, it is possible<br />

to represent in the general cavitation plots the complete characteristics<br />

<strong>of</strong> the particular eye design, and regardless <strong>of</strong> eye<br />

diam eter (scale), speed, or capacity, Ca is the same measure <strong>of</strong><br />

flow sim ilarity and Ci and C3 are th e same m easures <strong>of</strong> the cavitation<br />

regime. <strong>The</strong> general utility <strong>of</strong> this type <strong>of</strong> chart is therefore<br />

great, particularly for th e designer.<br />

Evaluation <strong>of</strong> Eye Coefficients From Experimental Data. In<br />

E quation [9] th e expression for the angle <strong>of</strong> attack /S was derived<br />

F i g . 9<br />

r--&,<br />

Cz ND’<br />

I m p e l l e r C a v it a t io n C h a r a c t e r is t ic s<br />

0 0.002 0.004 0.006 0.008 0.010 0.012 0.014 0.016 0.018 0.020 0.022 0.024<br />

r - Q<br />

2 ND3<br />

F i a . 8<br />

D i m e n s i o n l e s s C a v i t a t i o n P l o t

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