Fox and McDonald's Introduction to Fluid Mechanics
9th Edition
ISBN: 9781118912652
Author: Philip J. Pritchard, John W. Mitchell
Publisher: WILEY
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Textbook Question
Chapter 9, Problem 60P
A towboat for river barges is tested in a towing tank. The towboat model is built at a scale ratio of 1:13.5. Dimensions of the model are overall length 3.5 m, beam 1 m, and draft 0.2 m. The model displacement in fresh water is 5500 N. Estimate the average length of wetted surface on the hull. Calculate the skin friction drag force of the prototype at a speed of 7 knots relative to the water.
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2) A prototype ship is 50 m long and designed for cruising speed of 10 m/s. The drag is to be simulatedby a 1-m-long model that will be towed in a towing tank. Using Froude scaling, determine the tow speedand the ratio of the model to prototype drag and power.
The drag characteristics of an aircraft must be determined by a test of a model subjected to a wind tunnel operated at an absolute pressure of 1300 KPa. If the prototype will be used in standard air at 385 km/hr, and the corresponding speed of the model does not differ by more than 20% from the speed of the prototype (so that the compressibility effects are ignored), what range of length scales can be used if the Reynolds number remains similar?
The drag characteristics of an aircraft must be determined by a test of a model subjected to a wind tunnel operated at an absolute pressure of 1300 KPa. If the prototype will be used in standard air at 385 km/hr, and the corresponding speed of the model does not differ by more than 20% from the speed of the prototype (so that the compressibility effects are ignored), what range of length scales can be used if the Reynolds number remains similar? Assume that the viscosity of the air is not affected by the pressure, and that the air temperature in the wind tunnel is equal to the air temperature to which the prototype will be subjected.
Chapter 9 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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