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>

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.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

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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...

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