Which is the more relevant length scale for the problem

Assignment Help Civil Engineering
Reference no: EM13311956

Given:

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).

find:

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.)

assume

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

Reference no: EM13311956

Reviews

Write a Review

 

Civil Engineering Questions & Answers

  Determine aerodynamic drag on the full-scale prototyple car

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.

  Calculate the height above the waterline

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 ..

  Determine what is the air void content of core 2 of mixture

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.

  Compute relative compaction based on modified proctor test

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

  Maximum deflection of the beam

Determine the deflection of the right end of the pointer and the maximum deflection of the beam.

  Find diameter of the shaft for maximum rotation in a and c

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..

  Determine what is the necessary volume for the basin

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

  What is the market value of the plants electricity annually

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.

  Determine what is the bettle stations impact speed

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

  Draw streaklines for a dye stream that was emitted

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.

  Calculate the hydraulic conductivity of this clay

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.

  Explain lift charts in direct marketing

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

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd