AdvancedTopic 77 of 105Thermodynamics & Fluids
Mach number and speed of sound
Ma=V/c; sound speed in air is about 343 m/s.
In depth
Speed of sound a=√(γRT): about 343 m/s in air at 20 °C and 1480 m/s in water. Mach number M=V/a. Information travels at a, so supersonic flow cannot 'warn' upstream, leading to shocks. Mach cone angle sinμ=1/M.
Key points
- Depends on temperature only for ideal gas
- Sonic boom
- Altitude effects
ExampleA jet at 600 m/s at 10 km (a≈300 m/s) flies at Mach 2.
What is Mach number and speed of sound?
Ma=V/c; sound speed in air is about 343 m/s.
Why is it important to understand mach number and speed of sound?
The Mach number tells you how close a flow is to the speed of sound, which sets the flow regime and the design approach for aircraft and jets.
What is the speed of sound in air?
About 343 metres per second at 20 degrees Celsius, and it depends on temperature.
What do the Mach regimes mean?
Subsonic is below Mach 1, transonic is near Mach 1, supersonic is above 1, and hypersonic is much faster.
How is Mach number and speed of sound used in practice?
Typical applications include classifying a jet engine inlet as subsonic or supersonic, estimating the speed of a missile from its Mach number and checking the flow regime of a wind tunnel test section.
What should I learn before Mach number and speed of sound?
Study "Compressible flow" first (topic 76 of 105 in Thermodynamics & Fluids). It covers the groundwork this topic builds on.
What are the key points of Mach number and speed of sound?
Depends on temperature only for ideal gas. Sonic boom. Altitude effects.
Can you give an example of Mach number and speed of sound?
A jet at 600 m/s at 10 km (a≈300 m/s) flies at Mach 2.
What comes after Mach number and speed of sound?
The next topic is "Isentropic nozzle flow", which builds directly on this one.
How difficult is Mach number and speed of sound?
It is classed as Advanced in Thermodynamics & Fluids (topic 77 of 105). It is an advanced topic. It assumes you are comfortable with the intermediate topics in Thermodynamics & Fluids.