High-speed aircraft use “air data computers” to compute air speed from measurement of the difference between the stagnation and static pressures. Plot, as a function of actual Mach number M, for M = 0.1 to M = 0.9, the percentage error in computing the Mach number assuming incompressibility (i.e., using the Bernoulli equation), from this pressure difference. Plot the percentage error in speed, as a function of speed, of an aircraft cruising at 12 km altitude, for a range of speeds corresponding to the actual Mach number ranging from M = 0.1 to M = 0.9.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
Additional Engineering Textbook Solutions
Problem Solving with C++ (10th Edition)
Electric Circuits. (11th Edition)
Database Concepts (8th Edition)
Starting Out with C++ from Control Structures to Objects (9th Edition)
Introduction To Programming Using Visual Basic (11th Edition)
Java: An Introduction to Problem Solving and Programming (8th Edition)
- An aircraft cruising at 1000-m elevation, z, above you moves past in a flyby. It is moving with a Mach number equal to 1.5 and the ambient temperature is 20 °C. How many seconds after the plane passes overhead do you expect to wait before you hear the aircraft? k = 1.4, R = 287 J/kg.K Mach cone Aircraft moving with velocity V and Mach number Maarrow_forwardCompressible Flow and Propulsion 1. Determine the speed of sound in Argon at 120 °C. Molecular weight of Argon = 40 kg/kmol and y= 1.667. (Ro = 8314.5 J/kmol K) %3D [Ans. 369 m/s] 2. Calculate the Mach number corresponding to the following speeds at an am temperature of 15 °C. Rair = 287 J kg*K, 1 mph = 0.447 ms?. ent (a) National speed limit of 70 mph [Ans. 0.09] (b) A top speed of 230 mph attained by a Formula driver. [Ans. 0.3] 3. Calculate the speed of an aircraft cruising in 20°C air where the angle of the zone of silence is a. 10° to the direction of travel. [1946ms) b. 20° to the direction of travel. [943ms] c. 80° to the direction of travel. [60ms] d. What is the maximum expected angle for M = 1? 4. Calculate the speed of sound during the flight of an aircraft for the two conditions (a) when it is at a cruising altitude of 10,000 m and the outside temperature is-60 °C. (b) when it lands in a desert city at a temperature of 45 °C (c) If the Mach number during cruising condition…arrow_forward1. The flow is considered compressible when the value of Mach number is.... (A) greater than unity (B) greater or equal to 0.3 (C) greater than 0.5 (D) less than 0.3 2. In c-d nozzle, when dA/dV is positive, then the flow is.... (A) subsonic (B) sonic (C) supersonic (D) incompressible 3. Along the adiabatic duct, the...... remains constant. (A) stagnation pressure (B) static pressure (C) static temperature (D) stagnation temperature 4. Across the normal shock wave, the gas velocity ...... (A) decreases↓ (B) increases ↑ (C) remains constant (D) varies randomly v2 (C) 2Cp (D) PV² 5. The dynamic temperature can be calculated from..... (A): M² 2Cp (B) -M² B 6. A supersonic flow with 38° oblique shock angle passes over a concave corner of angle 0=20°. Then, the free stream Mach number M₁ is.... (A) 2 (B) 5 7. Across the expansion waves, the ..... remains constant. (A) Mach number (B) stagnation pressure (C) 3 (C) gas velocity (D) 4 (D) temperature. (D) Pe=0 8. The maximal thrust of the…arrow_forward
- Please provide correct answerarrow_forwardWith the aid of diagrams, explain what are Mach waves and how they are formed. From your understanding, how can the speed of a fighter aircraft model inside the wind tunnel can be estimatedby observing the Mach wave angle using optical measurements?arrow_forward1.ABarrow_forward
- For an upstream Mach number M1 = 5.2 and a deflection angle 0 = 15°, please calculate the Mach number M, downstream of the expansion wave. (up to 2 decimal points)arrow_forward5. At 30000ft, estimate the magnitude of transonic drag rise. Using this estimate, calculate the maximum velocity of the airplane at this altitude. Assume drag-divergence Mach number of 0.82 and d(D/D₁)/dM = 14.3 where D₁=1750lb is drag at Mach number 0.9 and D₂ = 4250lb at Mach number 1. 6 Estimate maximum range at 30000€ Also calculate the flight speed to obtain thisarrow_forwardFor supersonic and hypersonic wind tunnels, a diffuser efficiency, ηD,can be defined as the ratio of the total pressures at the diffuser exit andnozzle reservoir, divided by the total pressure ratio across a normal shockat the test-section Mach number. This is a measure of the efficiency ofthe diffuser relative to normal shock pressure recovery. Consider asupersonic wind tunnel designed for a test-section Mach number of 3.0which exhausts directly to the atmosphere. The diffuser efficiency is 1.2.Calculate the minimum reservoir pressure necessary for running thetunnel.arrow_forward
- 1. The pressure in a reservoir of a supersonic wind tunnel is 178.42 KPa, and the density is 1.7 kg/m3. The pressure outside the nozzle is atmospheric, with a Mach number of 1.8 at the exit. The throat has a surface area of 0.15m2 with a Mach Number of 1.0. Solve for the value of the following: (a) Reservoir temperature and speed of sound. (b) Pressure, density, temperature and speed of sound at the throat. (c) Mass flow at the exit.arrow_forwardFor a projectile traveling at 800 mph through air at 50 °F and standard atmospheric pressure, what is the value of the Mach number?arrow_forwardNonearrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY