A liquid of density ? and viscosity ? flows by graveity

Chapter 7, Problem 98P

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Problem 98P

A liquid of density ρ and viscosity μ flows by graveity through a hole of diameter d in the bottom of a tank of diameter D (Fig. P7-101). At the start of the experiment, the liquid surface is at height h above the bottom of the tank, as sketched. The liquid exits the tank as a jet with average velocity V straight down as also sketched. Using dimensionl analysis, generate a dimensionless relationship for V as t function of the other parameters in the problem. Identify any established nondimensional parameters that appear in your result. (Hint. There are three length scales in this problem.: For consistency, choose h as your length scale.)

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