(a) Based on the variables listed, find an expression for non-dimensional time in terms of other non-dimensional quantities. Clearly identify your choice of repeated variables, and also how many non-dimensional II groups you obtain. (b) The temperature of the ethylene glycol in the prototype tank is 60° C, at which v the-kinematic viscosity is 4.75 × 10-6 m²/s. What should be the kinematic viscosity of water in the model experiment in order to ensure complete similarity between the model and prototype? (c) Now the designers run the model experiment. If it takes 543.6 sec to drain ethylene-alcohol from the prototype tank, predict how long it will take to drain water from the model tank.
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