Calculating Speed of Sound at Inlet

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To calculate the speed of sound at the inlet of a De Laval nozzle, the static temperature should be used rather than the stagnation temperature. The speed of sound for an ideal gas is determined using the equation c = sqrt(k * R * T), where T is the static temperature. Since the air is flowing sub-sonically at the inlet, the sonic velocity based on static conditions is appropriate for determining the Mach number. The discussion emphasizes that the velocity increases at the nozzle's narrowest point, where the flow becomes choked. Therefore, for accurate calculations, static temperature is the key parameter to consider.
jason.bourne
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suppose air is flowing throught the nozzle
with the inlet conditions
static pressure = .2 MPa
static temperature = 350 K
velocty of air at the inlet = 150 m/s

speed of sound for ideal gas is given by c = sqrt (k * R * T)

suppose if i want to calculate the speed of sound at the inlet do i have to consider the static temperature or the stagnation temperature?
 
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i mean suppose if we want to calculate the mach number at the inlet, then which sonic velocity has to be used? is it the sonic velocity based on static temperature or the stagnation temperature?
 
you are talking about De Laval nozzle , at the inlet the speed of air is not sonic it is sub-sonic and when it enters at the tightest point in nozzle where the flow is choked and then the velocity incease at the end of the nozzle which is divergeant

velocit calculated at outlet is :
Ve=radica{(T.R/M).(2K/K-1).[1-(Pe/p)^k-1/k]}

Ve = Exhaust velocity at nozzle exit, m/s
T = absolute temperature of inlet gas, K
R = Universal gas law constant = 8314.5 J/(kmol·K)
M = the gas molecular mass, kg/kmol (also known as the molecular weight)
k = cp/cv = isentropic expansion factor
cp = specific heat of the gas at constant pressure
cv = specific heat of the gas at constant volume
Pe = absolute pressure of exhaust gas at nozzle exit, Pa
P = absolute pressure of inlet gas, Pa

http://en.wikipedia.org/wiki/De_laval_nozzle
 
Jason,
That equation references the static temperature.
 
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