Oscillation of a Water Column

[摘要] In the present paper, the author treated one case of oscillation of a water column: a vertical glass tube is immersed partially in water contained in a vessel, the lower end being very close to the bottom of the vessel, as shown in Fig. 1, and the water surface in the tube is initially raised or lowered and set in motion with initial velocity zero. If we assume the horizontal section of the tube to be very small as compared with that of the vessel, and horizontal velocity of the liquid to be negligible, the period of oscillation T is given by where H is the depth of the vessel, h the initial height of water level in the tube measured from the bottom of the vessel, g the acceleration due to gravity. This relation is shown graphically in Figs. 2 and 3. Fig. 3 includes also the experimental results, which agree almost prefectly with the theoretical ones. When the lower end of the tube is not very close to the bottom, the mouth correction of the tube can be found experimentally by obtaining the deviation of the observed periods from the ealculated by means of equation (9).

[学科分类] 大气科学