An investigation of previous studies involving turbines driven by pulsating, unsteady flows is conducted. The suitability of conventional steady flow performance metrics for application to the case of pulsating flow is discussed, with a focus on the observed deviation from quasi-steady behavior. This deviation is found to be a strong function of upstream geometry, pulse form and amplitude, and disparity between the time scales of the pulse and of the rotor dynamics. Existing studies exhibit controversy as to the effects of parametric variation of pulsating flow quantities on the turbine performance as well as suitable metrics to describe this performance. These studies are used to predict qualitative trends for the performance of an integrated pulse-detonation driven axial turbine. Trends from current experimental studies of pulse-detonation driven flows are examined to assess these hypotheses.
Nomenclaturea = Sonic Velocity (m/s) PDC = Pulse Detonation Combustion AF = Amplitude Factor PDE = Pulse Detonation Engine BSR = Blade Speed Ratio, Velocity Ratio PMSt = Pressure Modified Strouhal Number C = Absolute Flow Velocity (m/s) PR = Pressure Ratio c p = Specific Heat at Constant Pressure (J/kg·K) QSF = Quasi-Steady Flow CVC = Constant Volume Combustion St = Strouhal Number d = Diameter (m) T = Temperature (K) f = Frequency of Pulsation (Hz) U = Rotor Tip (Blade) Speed (m/s) h = Specific Enthalpy (J/kg) v = Mean Flow Velocity (m/s) L = Characteristic Length (m) W = Relative Flow Velocity (m/s) ṁ = Mass Flow Rate (kg/s) x = Arbitrary Spatial Location MFP = Mass Flow Parameter (K ½ ·s/m) β = Reduced Frequency MSt = Modified Strouhal Number γ = Ratio of Specific Heats N = Turbine Speed (rad/s) η = Efficiency T N / = Normalized Turbine Speed (rad/K ½ s) φ = Duty Cycle P = Power (W), Pressure (Pa) τ = Torque (N·m) ω = Frequency of Pulsation (rad/s)