Unformatted text preview: 2 2 1 ! 2 1 1 1 1 2 1 1 1 x x p p o Simplify, 2 8 2 1 x x p p o and as M then x and x x 2 so for small Mach number, 2 2 2 1 2 1 2 1 a V M x p p o Speed of sound we know to be RT a or RT a 2 so substitute and cancel gammas, 2 2 2 1 1 2 1 RT V RT V p p o From Ideal Gas Law we know that p RT and so, 2 2 1 1 p V p p o and now multiply both sides by static pressure, 2 2 1 V p p o QED....
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 Fall '09
 COLLICOTT
 Fluid Dynamics, Aerodynamics, 1 m, 1 2 1 1 M

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