Compressible Flow Equations

Question 1

Speed of Sound

Answer 1

a = sqrt(gammaRT)

Question 2

Mach number

Answer 2

Ma = c/a

Question 3

Change in entropy across a shock

Answer 3

s2-s1 = -Rln(p02/p01)

Question 4

Stagnation Temperature ratio

Answer 4

T0/T = 1+((γ-1)/2)M^2

Question 5

Stagnation pressure/density ratio

Answer 5

p0/p = ρ0/ρ = (1+((γ-1)/2)M^2)^(γ/(γ-1))

Question 6

Mass flow conditions

Answer 6

m.(sqrt(cp * T0))/(An * p0) = (γ/sqrt(γ-1)) * Ma * (1+((γ-1)/2)Ma^2) ^ (-1/2)((γ+1)/(γ-1))

Question 7

Temperature around strong shock

Answer 7

T2/T1 = 2 + ((γ-1)Ma1^2) * (((2γMa1^2) - (γ-1))/((γ+1)^2)Ma1^2)