Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 19, Problem 19.6P
To determine
The profile of total temperature through the boundary layer is a function of the velocity profile via
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2)If the air is flowing at a static temperature of 273 K and Mach 4, what is its quiescent temperature, and if the above air flow passes through a flat plate, in real conditions a boundary layer is formed on the flat plate. Given that the absolute velocity of the current on the flat surface is zero, can the stagnation temperature be expected to reach free flow?
What fluid property is responsible for the development of the velocity boundary layer? What is the effect of the velocity on the thickness of the boundary layer?
Chapter 19 Solutions
Fundamentals of Aerodynamics
Ch. 19 - The wing on a Piper Cherokee general aviation...Ch. 19 - For the case in Problem 19.1, calculate the...Ch. 19 - For the case in Problem 19.1, calculate the...Ch. 19 - Consider Mach 4 flow at standard sea level...Ch. 19 - Repeat Problem 19.4 for the case of all turbulent...Ch. 19 - Prob. 19.6PCh. 19 - Prob. 19.7P
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- A horizontal axis wind turbine with a 20-m diameter rotor is 30% efficient at 10 m/s winds and at 1 atm of pressure and 15° C. (a) How much power would it produce at these conditions? (b) What would the air density be on top of a mountain at an elevation of 2500 m at 10° C? (c) Determine the power the wind turbine would produce on the mountain with the same wind speed. Assume that the efficiency of the turbine is not affected by density. Is it beneficial to build the turbine on top of the mountain? Explain your answer.arrow_forward1 atm = 2116 lb/ft2 = 1.01 × 105 N/m2. The temperature and pressure at the stagnation point of a high-speedmissile are 934 ◦R and 7.8 atm, respectively. Calculate the density at thispoint.arrow_forwardThe air at 65°C and with a viscosity of 1.86x10^-5 m^2/s flows along a flat plate at 12 m/s, under laminar regime, which distance, from the leading edge, where the boundary layer thickness reaches 0.5 cm?arrow_forward
- What are the physical and quantitative evidence of turbulence in fluid flow?arrow_forwardAn infinitely thin flat plate is operating at a given freestream Mach number of 2.4 where ambient pressure is 0.53 atm. Calculate Pressure acting on the upper surface of the plate for an given angle of attack of 4 degrees using both shock-expansion theory and linearized theoryarrow_forwardAn infinitely thin flat plate is operating at a given freestream Mach number of 2.4 where ambient pressure is 0.53 atm. Calculate Pressure acting on the lower surface of the plate for an given angle of attack of 4 degrees using both shock-expansion theory and linearized theoryarrow_forward
- The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length L is Delta L . When the plate length is increased to twice its original length. The percentage change in laminar boundary layer thickness at the end of the plate (with respect to Delta L ) is ______arrow_forwardAir at sonic conditions and at static temperature and pressure of 340 K and 250 kPa, respectively, is to be accelerated to a Mach number of 1.6 by cooling it as it flows through a channel with constant cross-sectional area. Disregarding frictional effects, determine the required heat transfer from the air, in kJ/kg.arrow_forwardRace cars at the Indianapolis Speedway average speeds of185 mi/h. After determining the altitude of Indianapolis,fi nd the Mach number of these cars and estimate whethercompressibility might affect their aerodynamics.arrow_forward
- In your own words, write a summary of the differences between incompressible flow, subsonic flow, and supersonic flow.arrow_forwardThe temperature of a flat plate is Tw = 3Te , where Te is the static temperature of the high Reynolds flow outside the boundary layer, parallel to the plate. What is the minimum value of mach number for the aerodynamic heating to become more relevant than the convective cooling for the plate?arrow_forwardConsider a blimp that can be approximated as a 3-m diameter, 8-m long ellipsoid and is connected to the ground. On a windless day, the rope tension due to the net buoyancy effect is measured to be 120 N. Determine the rope tension when there are 50 km/h winds blowing along the blimp (parallel to the blimp axis).arrow_forward
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