Fundamentals of Aerodynamics
Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.10P

Consider a Lear jet flying at a velocity of 250 m/s at an altitude of 10 km. where the density and temperature are 0.414 kg/m 3 and 223 K, respectively. Consider also a one-fifth scale model of the Lear jet being tested in a wind tunnel in the laboratory. The pressure in the test section of the wind tunnel is 1 atm =1 .01 × 10 5 N/m 2 . Calculate the necessary velocity, temperature. and density of the airflow in the wind-tunnel test section such that the lift and drag coefficients arc the same for the wind-tunnel model and the actual airplane in flight. Note: The relation among pressure, density, and temperature is given by the equation of state described in Problem 1.1.

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The actual car will be running at V= 35 km/h at p-1 atm and T=0°C (the air density and viscosity are 1.292 kg/m3, and 1.338 x 105 m2/s, respectively). A one-fifth scale car model is being tested at the wind tunnel at 198.3 km/h at 1 atm and 20°C. (The air density and viscosity are 1.204 kg/m³, and 1.516 x 10$ m²/s, respectively). The average drag force on the model is 50 N. What is the drag force on the prototype? Note that dimensionless drag is Cp 1/2pV² A O 41.8 N O 50 N O 15.0 N O 44.2 N O 8.4 N O 38.9 N
A one-third scale model of an airplane is to be tested in water. The airplane has a velocity of 900 km/h in air at −50°C. The water temperature in the test section is 10°C.                                                                                                 The properties of air at 1 atm and −50°C: ? = 1.582 kg/m3, ? = 1.474 × 10−5 kg/m·s.                                                                                The properties of water at 1 atm and 10°C: ? = 999.7 kg/m3, ? = 1.307 × 10−3 kg/m·s.                                                                                                  In order to achieve similarity between the model and the prototype, the water velocity on the model should be (a) 97 km/h (b) 186 km/h (c) 263 km/h (d ) 379 km/h (e) 450 km/h
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