An Experimental Study of Plunging Liquid Jet Induced Air Carryunder and Dispersion
Quarterly progress rept. no. 2.
RENSSELAER POLYTECHNIC INST TROY NY
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During the Second Quarter of this research project preliminary analysis was performed on two-phase jet spreading phenomena. Appropriate equations of motion have been derived by assembling the relevant equations and adding the appropriate term representing the action of surface tension, which was not originally included. These equations were nondimensionalized for a long, narrow jet. The resulting equations are parabolic, so that numerical solution should be straightforward. The equations of motion are approximated by assuming that the gas volume fraction is small. This allows us to use the known solution for the velocity field in a planar jet for the liquid. If one further approximate the momentum equation for the bubbles by neglecting all effects except drag, virtual mass, and liquid pressure gradient, one can solve the resulting equations for bubble trajectories in the known liquid velocity field. It was assumed that the bubbles do not affect the liquid velocity field and that the gas density is negligible. The resulting equation in Lagrangian form is given with the Tollmein solution for a planar jet used for the liquid velocity.
- Fluid Mechanics