By M S Natanzon; F Culick
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Extra info for Combustion instability
Values of the parameter are given along the curve. From the figure one can see that the greater the frequency ω of vibrations and the retention time τπ , the smaller the amplitude of oscillations of the gas flow GΓ . Increase of ωτπ also causes increasing phase lag of the fluctuation of GΓ relative to the pressure oscillation. When ωτπ → ∞, the phase lag approaches π/2. With the APFC known for the separate components, it is possible to obtain again the characteristic Eq. 15). 13) the expressions for the APFC functions of the separate components obtained earlier, and after some simple manipulations, we find the characteristic equation.
As will be shown in Sec. D, differences in the dynamic properties of the supply lines leads to analogous consequences. Oscillations of the mass ratio of reactants are accompanied by fluctuations of the heat of combustion of the fuel, and therefore the heat release. In the previous section it was shown that if there is a favorable phase shift between the oscillations of pressure and heat release in the combustion zone, energy is generated which can cause a loss of stability of the system. In addition, oscillation of the temperature of gas at the exit of the combustion zones, caused by oscillations of heat release, means that the temperature of the gas in front of the exhaust nozzle also oscillates.
6) where s is the entropy and γ is the isentropic exponent.