Find the actual mass flow rate for a discharge correction factor (ζd) of 1.15. For an ideal nozzle of same design and initial state, the following information is given: Volume flow rate (Q) = 0.53 m3/s; static temperature (T) = 590 K; static pressure (P) = 0.15 MPa; R = 287 J/kg/K.

Find the actual mass flow rate for a discharge correction factor (ζd) of 1.15. For an ideal nozzle of same design and initial state, the following information is given: Volume flow rate (Q) = 0.53 m3/s; static temperature (T) = 590 K; static pressure (P) = 0.15 MPa; R = 287 J/kg/K. Correct Answer

ζd = actual mass flow rate / ideal mass flow rate = ma / mi. For ideal conditions, ρ = P / RT = 0.15 x 106 / (287 x 590) = 0.886 kg/m3. mi = ρAV = ρQ = 0.886 x 0.53 = 0.47 kg/s. ∴ ma = 1.15 x 0.47 = 0.54 kg/s.
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