A model was tested of a tractor-trailer rig is performed in a wind tunnel. The drag force, FD, is found to depend on frontal area, A, wind speed, V, air density, r, and air viscosity, µ. The model scale is 1:4; frontal area of the model is 0.625 m^2. Obtain a set of dimensionless parameters suitable to characterize the model test results. State the conditions required to obtain dynamic similarity between model and prototype flows. When tested at wind speed V = 89.6 m/s, in standard air, the measured drag force on the model was FD = 2.46 kN. Estimate the aerodynamic drag force on the full-scale vehicle at V = 22 m/s. Calculate the power needed to overcome this drag force if there is no wind.

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8th Edition
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Author:Kreith, Frank; Manglik, Raj M.
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Chapter5: Analysis Of Convection Heat Transfer
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A model was tested of a tractor-trailer rig is performed in a wind tunnel. The drag force, FD, is 
found to depend on frontal area, A, wind speed, V, air density, r, and air viscosity, µ. The model 
scale is 1:4; frontal area of the model is 0.625 m^2. Obtain a set of dimensionless parameters suitable to characterize the model test results. State the conditions required to obtain dynamic similarity between model and prototype flows. When tested at wind speed V = 89.6 m/s, in standard air, the measured drag force on the model was FD = 2.46 kN. Estimate the aerodynamic drag force on the full-scale vehicle at V = 22 m/s. Calculate the power needed to overcome this drag force if there is no wind.

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