Speed of Sound Corresponding with Stagnation Temperature (3.2.3)
a = NYRT
Critical Speed (3.2.4)
M=1 Va
NORTH = N2 FIR(ToT)
2 Tce (To-Tee)
2 ACR NOR TO +1
Ex. Rank the velocities: Vmax a. ack
N = 2 Vmax
YRTE TRE
> Number (3.2.5)
Mach number has two issues:
1) when v varied, then a varied with T and hence v
2) If v increases a lot then M00
So & fixes these:
v² az a ace M2. a
I M² TR
ho-hav² ToT +2 ht ToT+2Cp T(1+20PT)-
TCI+ )→ To
T I x²=M²=M²x²-M²(1+2) TOR To 2
How does 2 vary with M?
Want MCX):
*(1+2M²) = M M²
7+1
M²= - 1+ 5+10 M-0 MI 4
Isentropic Flows (3.3.1)
Have already derived To = T(1+M²)
P P = M
Po P=(1+
a+ a
k and Cn n! (n-k)!K!
Po =1+M² + (M²) P= P + 5.