Chord length distributions related to bubble size distributions in multiphase flows

Abstract Generally, if a probe is used to measure the size of a bubble or void in a multiphase system, the probe intersects the bubble with a chord length other than the diameter of the largest vertical chord length of the bubble. This matter is further complicated by the fact that there is a distribution of bubble sizes in most systems. From geometrics reasoning, the expected probability distribution of measured chord sizes from a given bubble diameter is deduced and the relationship between bubble size distributions and chord length distributions explored. All one need know to evaluate these relationships is the fundamental bubble shape.

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