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Impact pressure
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In compressible fluid dynamics, impact pressure () is the difference between total pressure (also known as or stagnation pressure) and . The Free Dictionary Retrieved on 2008-10-01 In notation, this quantity is denoted as q_c or Q_c.

When input to an airspeed indicator, impact pressure is used to provide a calibrated airspeed reading. An air data computer with inputs of pitot and static pressures is able to provide a and, if static temperature is known, .

Some authors in the field of compressible flows use the term dynamic pressure or compressible dynamic pressure instead of impact pressure.L. J. Clancy (1975) Aerodynamics, Section 3.12 and 3.13"the dynamic pressure is equal to half rho vee squared only in incompressible flow."
Houghton, E.L. and Carpenter, P.W. (1993), Aerodynamics for Engineering Students, Section 2.3.1


Isentropic flow
In the ratio of total pressure to is given by:

\frac{P_t}{P} = \left(1+ \frac{\gamma -1}{2} M^2 \right)^\tfrac{\gamma}{\gamma - 1}

where:

P_t is total pressure

P is static pressure

\gamma\; is the ratio of specific heats

M\; is the freestream Mach number

Taking \gamma\; to be 1.4, and since \;P_t=P+q_c

\;q_c = P\left\left(1+0.2

Expressing the incompressible as \;\tfrac{1}{2}\gamma PM^2 and expanding by the gives:

\;q_c=q \left(1 + \frac{M^2}{4} + \frac{M^4}{40} + \frac{M^6}{1600} ... \right)\;

where:

\;q is dynamic pressure


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