To calculate v2, T2, and CF for an optimum expansion nozzle operating at sea level, we can use the following formulas:
1. To find v2, we can use the equation:
v2 = sqrt((2 * k)/(k-1) * (R * T1/M) * (1 - (p2/p1)^((k-1)/k)))
2. To find T2, we can use the equation:
T2 = T1 * (p2/p1)^((k-1)/k)
3. To find CF (thrust coefficient), we can use the equation:
CF = (2 * A2/A1) * ((p1 - p2)/p1)
Given the following values:
m˙ = 3.7 kg/sec
p1 = 2.1 MPa
T1 = 2585 K
M = 18.0 kg/kg-mol
k = 1.30
Let's calculate each parameter step-by-step:
1. Calculate v2:
v2 = sqrt((2 * 1.30)/(1.30-1) * (287 * 2585/18.0) * (1 - (p2/2.1)^((1.30-1)/1.30)))
2. Calculate T2:
T2 = 2585 * (p2/2.1)^((1.30-1)/1.30)
3. Calculate CF:
CF = (2 * A2/A1) * ((2.1 - p2)/2.1)
Note: To complete the calculations, we need to know the values of p2, A2, and A1.
I hope this explanation helps! Let me know if you have any further questions.