A model test of a tractor-trailer platform is carried out in a wind tunnel. The drag force, FD, is found to depend on the frontal area A, the wind speed V, the air density p, and the air viscosity u. The scale of the model is 1: 4; The front area of the model is 7 ft2. Obtain a set of dimensionless parameters suitable for characterizing the model test results. Indicate the conditions necessary to obtain dynamic similarity between the model and prototype flows. When tested at a wind speed V = 300 ft / s in standard air, the drag force measured on the model was FD = 550 Ibf. Assuming dynamic similarity, estimate the aerodynamic drag force on the large-scale vehicle at V = 75 ft / s. Calculate the power required to overcome this drag force if there is no wind.
A model test of a tractor-trailer platform is carried out in a wind tunnel. The drag force, FD, is found to depend on the frontal area A, the wind speed V, the air density p, and the air viscosity u. The scale of the model is 1: 4; The front area of the model is 7 ft2. Obtain a set of dimensionless parameters suitable for characterizing the model test results. Indicate the conditions necessary to obtain dynamic similarity between the model and prototype flows. When tested at a wind speed V = 300 ft / s in standard air, the drag force measured on the model was FD = 550 Ibf. Assuming dynamic similarity, estimate the aerodynamic drag force on the large-scale vehicle at V = 75 ft / s. Calculate the power required to overcome this drag force if there is no wind.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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
Transcribed Image Text:A model test of a tractor-trailer platform is carried out
in a wind tunnel. The drag force, FD, is found to
depend on the frontal area A, the wind speed V, the
air density p, and the air viscosity u. The scale of the
model is 1: 4; The front area of the model is 7 ft2.
Obtain a set of dimensionless parameters suitable for
characterizing the model test results. Indicate the
conditions necessary to obtain dynamic similarity
between the model and prototype flows. When
tested at a wind speed V = 300 ft / s in standard air,
the drag force measured on the model was FD = 550
Ibf. Assuming dynamic similarity, estimate the
aerodynamic drag force on the large-scale vehicle at
V = 75 ft / s. Calculate the power required to
overcome this drag force if there is no wind.
%3D
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