A rocket chamber holds gas at with and specific gas constant

PHYSICS · Subjective · Fermi University Physics · Mechanics & Dynamical Systems · Fluids & Continuum Physics · Momentum, energy and conservation laws

Signal Speeds in Fluids, Ch Flow through nozzles: area change, choking and thrust

Problem

A rocket chamber holds gas at T0=3000 KT_0 = 3000\,\mathrm{K} with γ=1.3\gamma = 1.3 and specific gas constant R=380 J kg−1 K−1R = 380\,\mathrm{J\,kg^{-1}\,K^{-1}}, at reservoir pressure p0=5.0 MPap_0 = 5.0\,\mathrm{MPa}, behind a throat of area A∗=5.0×10−3 m2A^* = 5.0\times10^{-3}\,\mathrm{m^2}. The nozzle expands the flow isentropically to exit Mach number Me=3.00M_{\rm e} = 3.00, where the area ratio is Ae/A∗=5.16A_{\rm e}/A^* = 5.16. Taking g0=9.807 m s−2g_0=9.807\,\mathrm{m\,s^{-2}}, find the thrust and specific impulse in vacuum.

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