806 PROF. A. H. GIBSON ON THE LOSS OF ENERGY AT OBLIQUE IMPACT 
TaBLeE II. 
Ratio of Areas of Streams (1) and (3) to Area of 
Impinging Stream (2). 
6 
J 2 3 4 5 
90° 3:0 1°85 1:57 1:42 1:33 
60° 2°0 49 38 335 31 
45° 15 32 22 19 igs 
30° 1:0 “20 al OE "083* 
15° “50 090 049 040* 034* 
5° 167 030 0135 O14 009% 
0° ‘00 ‘00 ‘00 ‘00 000 
* By extrapolation. 
Except when m (the ratio of areas) is unity there would appear to be no simple 
expression connecting a and 6 over the whole range from 0° to 90°. 
When this ratio is unity, a = = For greater values of the ratio, and for values of 
6 between 0° and 60”, the relationship 
f= es Ghee 
mm 
gives the value of a within about 5 per cent., for all values of m between 2 and 6. 
It will be noted that when @ is large, and particularly when m is small, the vf 
term is all-important. As m increases, the relative value of this term at first falls 
off very rapidly, the relative diminution being greatest with small values of 0. 
As the area of the primary stream is increased, the v,” term at first diminishes 
to a minimum, afterwards increasing with an increase in the area. With large 
values of m the value of 6 approximates, as would be anticipated, to unity, for all 
values of 94. 
Where 4 and the volumes of the streams (1) and (2) are known, the data of Tables 
I. and II. or the curves of figs. 4 and 5 enable the ratio of areas of primary and 
impinging stream for minimum loss of energy to be calculated. Thus, if Q,=nQ., 
i Oe, and the loss is given by 
loss = { a( ay +b } ube foot-lbs. per lb. of (2). 
m 29 
