15th International Conference on Computational Heat and Mass Transfer, ICCHMT 2025, Antalya, Türkiye, 19 - 22 Mayıs 2025, cilt.29, ss.308-318, (Tam Metin Bildiri)
The interactions between the unsteady heat release rate and pressure fluctuations in a combustion chamber may lead to thermoacoustic instabilities depending on the phase relationship between the two. In many instances, the linear stability characteristics of the chamber are determined by solving the nonhomogeneous wave equation in the frequency domain that takes these interactions into account, ignoring the convective effects. However, mean flow may have some impact on the phase between the unsteady heat release rate and pressure oscillations, and the stability characteristics may be altered. The convective effects may be directly included by solving the convective form of the wave equation or linearized Euler equations. In this paper, the success of capturing the convective effects on the frequency of thermoacoustic oscillations is explored, particularly for the convective wave equation. It is derived based on acoustic perturbation equations. Linearized Euler equations, which describe the convective effects fully, are also employed. An experimental test case from the literature is considered for studying the methods against the longitudinal wave components. The results indicate that the convective wave equation solver yields results that are compatible with those attained by the linearized Euler solutions.