TWELFTH ANNWGAL MEETING. 65 
of each membe® of the series, so as to permit access of water 
pack them side by side, in oblique position in an inclined 
sluice, as shown in fig. 5, and we have the solution of the prob- 
lem with which we started. For if we suppose a current of 
water to be running through the inclined trough or sluice-way, 
the first effect will be to fill the tubes with water and establish 
a flow through them ; the water entering the longer branch of 
each tube will escape from. the shorter branch with a velocity 
due to the head or vertical distance between the two ends of the 
tube. This final direction being obliquely up the slope, each 
particle of water will describe a path as is indicated by the 
curved arrows shown in fig. 5. The effect will be that we will 
have an ascending current in the sluice—on that side of the sluice 
where the shorter branches of the tubes are situated. The 
velocity of this ascending current will become less and less as 
we pass towards the middle of’ the sluice, where there will be 
a line or section of practically eddy water, and beyond a de- 
scending current, becoming more rapid as we pass to the further 
side of the sluice, where we find a current descending with 
uniform velocity, the maxium limit of which will be the velocity 
of the water escaping from the shorter branches, provided the 
supply of water and the capacity of the tubes are properly pro- 
