An airplane that has a cross-sectional diameter D = 4 m of the front portion is to fly at a speed of 600 km/hr in air that has a density of 1.1 kg/m and dynamic viscosity of 1.27 x 10 Pa.s. A small size model of scale ratio (1/17) to be tested in a different fluid that has a dynamic viscosity 5 x 10-5 Pa.s and a density of 500 kg/m2. It is determined that the parameters that are important for this test are: diameter D, density, viscosity, velocity V, the length of the wings L and the drag force F. What must be the speed (m/s) of the model to Choose. + ensure dynamical similitude? What must be the corresponding diameter of the model (cm)? Choose... What is the number/s of dimensionless groups for this problem? Choose... 4>

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An airplane that has a cross-sectional diameter D = 4 m of the front
portion is to fly at a speed of 600 km/hr in air that has a density of
1.1 kg/m and dynamic viscosity of 1.27 x 10 Pa.s. A small size
model of scale ratio (1/17) to be tested in a different fluid that has
a dynamic viscosity 5 x 105 Pa .s and a density of 500 kg/m2. It is
determined that the parameters that are important for this test are:
diameter D, density, viscosity, velocity V, the length of the wings L
and the drag force F.
What must be the speed (m/s) of the model to
Choose...
ensure dynamical similitude?
What must be the corresponding diameter of the
model (cm)?
Choose..
What is the number/s of dimensionless groups for
this problem?
Choose...
Transcribed Image Text:An airplane that has a cross-sectional diameter D = 4 m of the front portion is to fly at a speed of 600 km/hr in air that has a density of 1.1 kg/m and dynamic viscosity of 1.27 x 10 Pa.s. A small size model of scale ratio (1/17) to be tested in a different fluid that has a dynamic viscosity 5 x 105 Pa .s and a density of 500 kg/m2. It is determined that the parameters that are important for this test are: diameter D, density, viscosity, velocity V, the length of the wings L and the drag force F. What must be the speed (m/s) of the model to Choose... ensure dynamical similitude? What must be the corresponding diameter of the model (cm)? Choose.. What is the number/s of dimensionless groups for this problem? Choose...
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