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Interestingly, the validity of the FTF baseline scores of the present study is supported by very similar FTF profiles presented in 2 Scandinavian studies in children and adolescents with a DSM-IV diagnosis of ADHD [ 1, 8].
We present easy formulae for the spectra of the PSAs (the FTF magnitude), their Signal to Noise (S/N) power-ratio gain, their detuning robustness, and their harmonic rejection in terms of the FTF.
The FTF has been for decades the standard tool in Electrical Engineering to analyze and synthesize their linear systems.
This can be expensive, however, because the FTF must be re-calculated whenever a flame parameter is varied.
No analytical solutions for the FTF exist for this case so the FTF has to be calculated numerically as its parameters – aspect ratio, convection speed and Markstein length – are varied.
Traditionally, the stability of a thermoacoustic system is found by embedding the FTF within an acoustic network model.
When the injector size is reduced and δ/R becomes sizable, additional parameters are needed to fully describe the FTF.
In the case of the cooled flame-holder, the formation of a recirculation zone is identified as the main impact on the FTF.
The key factors driving the evolution of the FTF are the flame-root location as well as the modification of the flow, which affects its stability.
Instead, we couple the linearised G-equation directly with an acoustic network model, creating a linear eigenvalue problem without explicit knowledge of the FTF.
The Lewis number and flame temperature are shown to alter the low frequency behavior of the FTF of flames stabilized above small injectors.
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