Design and Simulation of Two Stroke Engines

Chapter 2 - Gas Flow through Two-Stroke Engines
Substituting this latter expression for the shock propagation velocity, a, into Eq. A2.2.5
gives a direct relationship for the gas particle velocity, c:
c =
Y
A
-1
iPo
fV + 1 P , Y- 1
2y Po 2y
(A2.2.7)
The temperature and density relationships behind the shock are determined as follows,
first from the equation of state:
pRT pT
Po Po RT o Po T o
which when combined with Eq. A2.2.1 gives:
T p fa-c
T0
which when combined with Eq. A2.2.5 gives:
T o Po
(
PoV a ,
Y-l , 2 ajp
y + 1 y +1 a 2 j
and in further combination with Eq. A2.2.6 reveals the temperature relationship:
To
_P_
Po
'Y-l P | ^
Y + l Po
P , Y-l
Po Y + 1 )
and in further combination with Eq. A2.2.8 reveals the density relationship:
p
Po
P j.Y-1
(A2.2.8)
(A2.2.9)
Po Y + l
"Y-l P + 1 (A2.2.10)
Y + l Po
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