Dimensional analysis and hydraulic similitude



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Example-1: In order to estimate the drag force on an airplane that cruises at 100m/s, wind-tunnel test is carried out on a 1: 15 scale model. The airplane cruises at an altitude where there is 10% drop in standard atmospheric pressure. The wind tunnel test is also carried out at 100m/s and the measured drag force in one of the test is 5N. Determine the required air pressure in the tunnel and drag force on the prototype (assuming the same air temperature for the model and prototype).

Solution: For a geometrically model and prototype, the Reynolds number must match i.e.






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