Isentropic flow p o pr p=constant Pa=o Pe=P 0 A A and assuming ideal gas, 2 m=p u, At=Pox+1 R At RoTo with √RT F=PoA=+ non-dimensional Ce F=CPA Usually, CF-1.5-2 16.522, Space P pessan Lecture 1b Prof. Manuel martinez Page 3 of 616.522, Space Propulsion Lecture 1b Prof. Manuel Martinez-Sanchez Page 3 of 6 Isentropic flow r p p ∝ r V p = constant and assuming ideal gas, 1 -1 tt t 0 0 t 2 2 m = u A = RT A +1 -1 γ ⎛ ⎞ ⎛⎞ ρρ γ ⎜ ⎟ ⎜⎟ ⎝ ⎠ ⎝⎠ γ γ i 0 0 0 P R T 0 t * P A m= c ⇒ i with ( ) * RT0 c= , Γ γ ( ) +1 2 2 -1 = +1 γ γ ⎛ ⎞ Γ γ ⎜ ⎟ ⎝ ⎠ γ e ee a 0 t * t0 0 u APP F=PA + - c AP P ⎡ ⎤ ⎛ ⎞ → ⎢ ⎥ ⎜ ⎟ ⎣ ⎦ ⎝ ⎠ non-dimensional cF So F=cPA F0 t Usually, F c 1.5 - 2 ∼