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Master Thesis Report Literature Review Figure 2.22: Tip leakage losses [9] noted that the last terms in the denominator can be either the static pressure at the inlet or outlet respectively. δloss = P01,rel − P02,rel (2.45a) P01,rel − P2 δloss = P01,rel − P02,rel (2.45b) P01,rel − P1 The bar sign that appears above each quantities implies that mass averaged values have been used for both the inlet and outlet condition. The total to total isentropic efficiency of the fan (NASA Rotor 67) can be defined as follows: (ηtt)fan = h02ss − h01 (2.46) h02 − h01 Where ss defines the total condition for which the process is isentropic. h01 represents the total condition at the inlet of the rotor, h02 represents the total condition at the outlet of the rotor. h02ss represents the isentropic total condition at the outlet of the rotor. Since the kinetic energy of the flow after the rotor is being used, the total to total efficiency is used instead of the total to static efficiency. Another useful measure of the rotor efficiency is to compute the entropy change across the rotor. The entropy change across the rotor can be derived starting from the second law of thermodynamics: T ds = dh − dp (2.47) ρ Considering the process of a perfect gas passing through the rotor at constant relative stagnation enthalpy (h01rel = h02rel ), the second law of thermodynamics can be expressed as follows: T ds = dp ρ T01,rel∆srotor = p01,rel − p02,rel ρ01,rel (2.48) (2.49) 21PDF Image | Aerodynamic Design of the NASA Rotor 67 for Non Uniform Inflow
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