320 5 Pulsejet, Ramjet, and Scramjet Engines
Fig. 5.3 T-s AND P-v diagrams for ideal Humphrey cycle of pulsejet engine
1. Intake or diffuser
This process occurs from state (a) to state (2) as shown in Fig. 5.3 . Air is sucked
into the combustion chamber through a bank of spring-loaded check (one way)
valve. State (a) is far upstream, while state (1) is at the pulsejet inlet, and state (2) is
just aft of the check valve upstream of the combustion chamber. Due to ram effect,
both the pressure and temperature rise from the ambient conditions to the values at
state (1) calculated by the relations:
γ γ À c 1
γ À 1
2 M 2
P 01 ¼ P 0 a ¼ P a
1 þ c
c
ð 5 : 1 Þ
Here ( M ) is the flight Mach number and ( γ c ) is the specific heat ratio for cold air. If
it is assumed that the diffuser is an ideal one (isentropic process), then the total
pressure and temperature at state (2) is equal to those at state (1), or: