Work

Novel frequency-domain Dixon approach for analyzing the stability range of the Rijke tube

Year: 2024

Type: article

Abstract: This study addresses the crucial issue of thermoacoustic instability, an undesirable phenomenon that severely impacts combustion chambers. The mathematical dynamic model of the Rijke tube has been reassessed as a linear time-invariant multi-time-delay system (LTI-MTDS). To analyze its stability characteristics, a precise approximation of the quasi-polynomial was performed. Subsequently, a new theoretical framework based on the Dixon discriminant method was established to derive the critical frequency range. The curves that represent the stability transition points are clearly depicted through comprehensive frequency scanning. This method reveals important information about the stable operating regions of the tube within the parameter space, including delays and geometric dimensions.

Source: Journal of Vibration and Control

DOI: 10.1177/10775463241290561

Authors: Meiyi An, Baozhu Du

Institutions: Nanjing University of Science and Technology, Hainan University

Language: English

Topic: Combustion and flame dynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

Funders: National Natural Science Foundation of China, Hainan University

Awards: G1846854162, G4436315944