Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Exergy as Lyapunov Function for Studying the Dynamic Stability of a Flow, Reacting to Self-Oscillations Excitation

Version 1 : Received: 11 December 2023 / Approved: 12 December 2023 / Online: 12 December 2023 (10:14:06 CET)

A peer-reviewed article of this Preprint also exists.

Skiba, D.V.; Zubrilin, I.A.; Yakushkin, D.V. Exergy as Lyapunov Function for Studying the Dynamic Stability of a Flow, Reacting to Self-Oscillation Excitation. Appl. Sci. 2024, 14, 1453. Skiba, D.V.; Zubrilin, I.A.; Yakushkin, D.V. Exergy as Lyapunov Function for Studying the Dynamic Stability of a Flow, Reacting to Self-Oscillation Excitation. Appl. Sci. 2024, 14, 1453.

Abstract

This article introduces a new physically based Lyapunov function difinition, which can be used as acoustic energy for finite amplitude pressure oscillations in reacting systems especially in combustion chambers. Reacting flow is seen as an open, non-equilibrium (parameters are distributed unevenly locally) thermodynamic system. This Lyapunov function is defined as the maximum mechanical work, which could be extracted by a heat engine from studied system, if this system would be disconnected from inlet and outlet and from any other surrounding environment, and the engine could transfer to the surrounding environment only mechanical work.

Keywords

Reacting flow stability; self-sustained oscillations; combustion instability; finite amplitude acoustic

Subject

Physical Sciences, Acoustics

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