Calculate the drag forces on a 1/200 scale model of the Willis Tower that is tested in a large water flume under conditions corresponding to those in problem 9.89. Ignore any free surface effects and assume dynamic similarity and that the drag coefficient is unchanged. The Willis Tower (formerly the Sears Tower) in Chicago is 1454 ft tall. Assuming that it is a tall rectangle with a square base of 120 ft sides, calculate the maximum drag force on the building and the force when the wind is along the diagonal of the structure as a function of wind speed from Beaufort Wind Scales of strong breeze (28 mph) to hurricane (75 mph). Assuming that the wind field is uniform, calculate the moment about the base of the Tower also.
Calculate the drag forces on a 1/200 scale model of the Willis Tower that is tested in a large water flume under conditions corresponding to those in problem 9.89. Ignore any free surface effects and assume dynamic similarity and that the drag coefficient is unchanged. The Willis Tower (formerly the Sears Tower) in Chicago is 1454 ft tall. Assuming that it is a tall rectangle with a square base of 120 ft sides, calculate the maximum drag force on the building and the force when the wind is along the diagonal of the structure as a function of wind speed from Beaufort Wind Scales of strong breeze (28 mph) to hurricane (75 mph). Assuming that the wind field is uniform, calculate the moment about the base of the Tower also.
Calculate the drag forces on a 1/200 scale model of the Willis Tower that is tested in a large water flume under conditions corresponding to those in problem 9.89. Ignore any free surface effects and assume dynamic similarity and that the drag coefficient is unchanged.
The Willis Tower (formerly the Sears Tower) in Chicago is 1454 ft tall. Assuming that it is a tall rectangle with a square base of 120 ft sides, calculate the maximum drag force on the building and the force when the wind is along the diagonal of the structure as a function of wind speed from Beaufort Wind Scales of strong breeze (28 mph) to hurricane (75 mph). Assuming that the wind field is uniform, calculate the moment about the base of the Tower also.
Solve Parts A-C and label Them
QUESTION: Suppose you buy a 3 x 7-ft sheet of plywood and put it on your roof rack. You drive home at 45 mi/h.
Part A - If the board is perfectly aligned with the airflow, how thick is the boundary layer at the end of the board?
Part B - Estimate the drag on the sheet of plywood if the boundary layer remains laminar?
Part C - Estimate the drag on the sheet of plywood if the boundary layer is turbulent (assume the wood is smooth) and compare the result to that of the laminar boundary layer case.
HINT - 3 X 7-ft sheet of plywood and put it on your roof rack. You drive home at 45 mi/h.
The original Flettner rotor ship was approximately 100 ftlong, displaced 800 tons, and had a wetted area of 3500 ft2. Assketched in Fig. , it had two rotors 50 ft high and 9 ft indiameter rotating at 750 r/min, which is far outside the range. The measured lift and drag coefficients for eachrotor were about 10 and 4, respectively. If the ship is mooredand subjected to a crosswind of 25 ft/s, as in Fig. whatwill the wind force parallel and normal to the ship centerlinebe? Estimate the power required to drive the rotors.
Estimate the drag force on the fuselage shown below for a cruising speed of 210 m/s at 10,000m.
Hint 1: To calculate the drag force split the fuselage into 4 parts: front hemisphere,cylindrical body, vertical stabilizer, back hemisphere. Model the front and back hemispheres as flow over a sphere. For simplicity treat the cylindrical body and vertical stabilizer as flat plates.Hint 2: Use Cd vs Reynolds number graphs for sphere and flat plate. If your Reynolds number is greater/smaller than the Cd vs Reynolds graph range, you can instead use the greatest/smallest number available on the graph.
Chapter 9 Solutions
Fox and McDonald's Introduction to Fluid Mechanics
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