4. Analysis of axial energy flows

A detailed study of the relationships between pressure, fluid velocity and energy flows provides a better understanding of the various energy conversions and degradations encountered in anisothermal oscillating flows. It will be necessary to include the longitudinal derivatives of pressure and velocity amplitudes in the calculations. The pressure derivative is linked to the velocity expression by the equations and :

{\bar{u}}_{a} = \frac{j}{{\bar{ρ}}_{g x} ω} \frac{\partial p_{a}}{\partial x} (1 - g_{0} (s^{*})) = - \frac{1}{(r_{u} + j ω}

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Analysis of axial energy flows

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References

(1) - ROTT (N.) - Thermoacoustics. - Advances in applied Mechanics, vol. 20, p. 135-174 (1980).
(2) - ROTT (N.) - Damped and thermally driven acoustic oscillations in wide and narrow tubes. - Zett. Fur. Angewandte...

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