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Nozzle Design (C-D)

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Estimate an ideal choked C-D nozzle expansion using perfect-gas isentropic relations and the momentum plus pressure thrust equation.

Pa
K
m2
M
Pa
-
J/kg/K

Total thrust

52.10 kN

Isp 255.6 s

Mass flow

20.78 kg/s

Ve 2,581 m/s

Area ratio

6.339

Ae 0.0634 m2

Exit state

77.1 kPa

1,708.5 K, overexpanded

C-D nozzle expansion

A choked throat fixes mass flow, then the diverging section turns chamber pressure into exit velocity.

M exit 3.00

ThroatM 1Exit plane

Pressure match

p_e/p_a 0.76

exit pressure below ambient

Area ratio

A_e/A_t 6.339

sets the supersonic branch

Mass flow

20.78 kg/s

fixed at the choked throat

Thrust

52.10 kN

momentum plus pressure term, exit pressure below ambient

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