Mach Number - High-speed Flow in A Channel

High-speed Flow in A Channel

As a flow in a channel becomes supersonic, one significant change takes place. The conservation of mass flow rate leads one to expect that contracting the flow channel would increase the flow speed (i.e. making the channel narrower results in faster air flow) and at subsonic speeds this holds true. However, once the flow becomes supersonic, the relationship of flow area and speed is reversed: expanding the channel actually increases the speed.

The obvious result is that in order to accelerate a flow to supersonic, one needs a convergent-divergent nozzle, where the converging section accelerates the flow to sonic speeds, and the diverging section continues the acceleration. Such nozzles are called de Laval nozzles and in extreme cases they are able to reach hypersonic speeds (Mach 13 (9,896 mph; 15,926 km/h) at 20°C).

An aircraft Machmeter or electronic flight information system (EFIS) can display Mach number derived from stagnation pressure (pitot tube) and static pressure.

Read more about this topic:  Mach Number

Famous quotes containing the words flow and/or channel:

    “But even suppose blood should flow. Is there not a sort of blood shed when the conscience is wounded? Through this wound a man’s real manhood and immortality flow out, and he bleeds to an everlasting death. I see this blood flowing now.”
    —Henry David Thoreau (1817–1862)

    “... the modern drama, operating through the double channel of dramatist and interpreter, affecting as it does both mind and heart, is the strongest force in developing social discontent, swelling the powerful tide of unrest that sweeps onward and over the dam of ignorance, prejudice, and superstition.”
    —Emma Goldman (1869–1940)