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The motion of liquid inside a closed vibrating vessel
Authors:W L Nyborg  A Rodgers
Abstract:Studies are made of the behavior of liquid contents in a closed cylindrical vessel vibrated vertically along its axis. The situation is one which had been investigated by Rodgers and Hughes (1960) because of applications in microbiology and biochemistry. By use of motion pictures it was found that surface waves develop, sonic fog is produced, and air bubbles are formed at the onset of the motion. Bubbles then move downward until, under conditions of practical interest, air is divided equally between top and bottom of the vessel. Steady-state vertical oscillation of the central liquid body then ensues, superposed on turbulent action of air–water mixtures at the top and bottom of the vessel. Reference is made to available theory for surface wave excitation, and bubble migration. A nonlinear differential equation is considered for the steady-state oscillation.
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