Question

Dimentional Analysis

5) Water is dripping through a small hole in a bottom of a cyllindrical container with a diameter D [m]. Find the form of the relationship between the diameter of drops o [m] and the remaining parameters: - diameter of the hole d [m] - height of the water surface in the container with respect to its bottom h [m] - water density P [kg mở - surface tension o [Nm'] - gravity acceleration is g [m s?] Assuming that this set of quantities is sufficient for a full description of this process, - determine, how many independent dimensionless products I could be constructed for this system - propose the form of these products. -assess the order of magnitude of individual II's. Which of them may be excluded as irrelevant? Propose the final form of the proposed relationship. (max. 3 pkt)

Answer 1

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