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A model of a high-rise offiice building at 1/500 scale is tested in a wind tunnel to estimate the pressures and forces on the full-scale structure. The wind-tunnel air speed is 20 m/s at (20 degrees C) and atmospheric pressure. The full-scale structure is expected to withstand winds of 200 km/h (10 degrees C).
Show that the model and prototype Reynolds numbers are not equal, but sufficiently large for approximate dynamic similitude. For the length scale in the Reynolds number, does it make a dierence if you choose building height or building width? Which do you think is the more relevant length scale for this problem? (For reference, the Empire State Building is 443 m high to its tip, with average floor area 2048 m^2.)
viscosity at 20 degrees c =1.51*10^-5 and density of air is 1.2
viscosity at 10 degrees=1.3*10-5 and air density is 1.25
The aerodynamic drag of a new sports car is to be predicted at a speed of 50mph at an air temperature of 25 degrees Celcius. Automotive engineers build a one-fifth scale model of the car to test in a wind tunnel.
A fully loaded, ocean going container ship is just stable about its longitudinal axis (roll). The ship has a total weight of 155,000 tons, length = 1,600 feet and a beam = 150 feet (assume that it is the shape of a rectangular box). Calculate the ..
An asphalt mixture is placed and compacted. Two tests are taken from the compacted mixture and checked for density. Core 1 had a density of 2403 kg/m3 and an air void content of 6.5%. Core 2 had a density of 2419 kg/m3.
sand cone test has been performed . The test results: intial weight of cone + sand =13.51lb, Final weight of sand cone + sand= 4.26lb, weight of sand to fill cone=2.12lb, weight of soil from hole+bucket=12.42lb, weight of bucket=1.21lb
Determine the deflection of the right end of the pointer and the maximum deflection of the beam.
The uniform steel shaft has two gears attached to it at B and C, two frictionless bearings, and the motor. The motor generates 15kip·in and the gears consume 10kip·in and 5kip·in. Find the diameter of the shaft if the maximum rotation between A an..
A dry detention basin is to be designed for a 70 ha residential development. The runoff coefficient for the area is 0.3 and the average rainfall during the year is 4 cm. What is the necessary volume for the basin
Biomass is increasingly used as a fuel to produce power and heat. A sugarcane-? processing mill is powered by a biomass power plant with 140 MW of electricity and with 60 MW of heat in the form of steam for sugar extraction from the cane.
A separatist Droid Army bettlestation is damaged during an intense battle over Coruscant, and it begins to fall towards to planet with an acceleration of s' = -gR^2/s^2 where s is the bettlestation's distance from Coruscant's center
A flow has circular streamlines. At t=0 the flow is in the clockwise direction and the angular velocity is pi rad/s. This flow exists for 1 s, and then reverses to counterclockwise with an angular velocity of -pi rad/s for 1 s.
A falling-head permeability test was carried out on a clay soil of diameter 100 mm and length 150 mm. In 4 minutes the head in the standpipe of diameter 5mm dropped from 680 to 350 mm. Calculate the hydraulic conductivity of this clay.
Lift Charts in direct marketing, The mass-mailing business is often used to illustrate the use of lift charts. Another real world application where the lift charts can be used
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