64 



MR RUSSELL'S RESEARCHES IN HYDRODYNAMICS. 



du-ected exclusively to the examination of the laws of the wave, wiU serve to shew 

 the deoree of coiTespondence of the phenomena with the law already mentioned, 

 and the connection between the velocity of the wave and the depth of the fluid, 

 the fourth column being formed by adding to the first the mean of the second 

 and third. 



THE WAVE. 

 In a rectangular channel 13 inches wide, 75 feet long. 



Depth of the Fluid at 

 Rest in inches. 



3.26 



4.0 



4.6 



6.5 



6.26 



6,26 



9.0 



9.0 



9.0 



9.6 



9.6 

 13.0 

 13.0 

 13.0 

 37.0 

 66.0 

 66.0 

 66.0 



Heights of the Wave 

 aljove the level of the 

 Fluid in inches. 



1.2 

 1.3 

 1.0 

 1.6 

 2.6 

 3.6 

 2.3 

 3.0 

 8.6 

 1.0 

 2.6 

 1.0 

 2.0 

 3.0 

 9.0 

 4.0 

 6.0 

 9.0 



0.6 

 0.8 

 0.6 

 1.3 

 1.6 

 2.6 

 1.0 

 2.6 

 2.3 

 0.6 

 1.2 

 0.6 

 1.1 

 1.4 

 6.0 

 4.0 

 6.0 

 9.0 



Total Depth reckon- 

 ed from the top of 

 the Wave. 



4.16 



6.1 



6.25 



6.9 



8.25 



9.26 

 10.66 

 11.76 

 11.90 

 10.3 

 11.3 

 13.76 

 14.65 

 16.2 

 44.0 

 70.0 

 71.0 

 75.0 



Time for 

 70 feet. 



23!'0 



21.6 



20.6 



18. 



16.5 



15.5 



14.5 



14.0 



13.5 



14.5 



14.0 



14.0 



13.0 



12.0 



* 



t 

 t 

 t 



Velocity in Feet 

 per sec 



3.04 



3.26 



3.47 



3.9 



4.49 



4.52 



4.82 



6.00 



5.19 



4.82 



5.00 



5.00 



5.38 



5.83 

 10.698 

 14-087 

 14.284 

 14.727 



Section IV. — On the Form which is given to the Surface of a Fluid iy the Motion 



of a Floating Body. 



It is only in a state of perfect rest that the surface of a limited reservoir of 

 liquid can be considered as a horizontal plane. The displacement of any portion 

 of that fluid deranges the equilibrium of all the particles in the vicinity of the 

 disturbing cause, and it is only after the lapse of a considerable interval of time, 

 and by means of an extensive series of interchanges of motion and position that 

 the equilibrium is readjusted and the horizontal plane restored. 



When a floating body is made to pass from one point in a fluid to another, it 

 communicates motion to all the particles in the vicinity of its path. Such par- 

 ticles of the fluid as lie directly in that path are removed from it by immediate 

 contact ; these impart motion to those upon which they are protruded, and the 



* This experiment was in a channel 12.3 feet wide. 



f These three examples were in a channel 12.3 feet wide. 



