At a large fish hatchery the fish are reared in open,water-filled tanks. Each tank is

Chapter 7, Problem 7.73

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At a large fish hatchery the fish are reared in open,water-filled tanks. Each tank is approximately square in shape withcurved corners, and the walls are smooth. To create motion in thetanks, water is supplied through a pipe at the edge of the tank. Thewater is drained from the tank through an opening at the center.(See Video V7.9.) A model with a length scale of 1:13 is to be usedto determine the velocity, V, at various locations within the tank.Assume that V = f (, i, , , g, Q) where is some characteristiclength such as the tank width, i represents a series of otherpertinent lengths, such as inlet pipe diameter, fluid depth, etc., is the fluid density, is the fluid viscosity, g is the acceleration ofgravity, and Q is the discharge through the tank. (a) Determine asuitable set of dimensionless parameters for this problem and theprediction equation for the velocity. If water is to be used for themodel, can all of the similarity requirements be satisfied? Explainand support your answer with the necessary calculations. (b) If theflowrate into the full-sized tank is 250 gpm, determine the requiredvalue for the model discharge assuming Froude number similarity.What model depth will correspond to a depth of 32 in. in the fullsizedtank?