Study of the bifurcation phenomena in thermoacoustic oscillations

2016 Fiscal Year Final Research Report

• Project/Area Number: 15K17965
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Fluid engineering
• Research Institution: Tohoku University
• Principal Investigator: Hyodo Hiroaki 東北大学, 工学研究科, 助教 (10733115)
• Project Period (FY): 2015-04-01 – 2017-03-31
• Keywords: 熱音響自励振動 / 発展方程式 / サブクリティカルホップ分岐

Outline of Final Research Achievements

The gas column in a wall with temperature gradient begins to oscillate spontaneously. This phenomenon is called thermoacoustic oscillation. This phenomenon can be considered as one of the bifurcation phenomena because the limit cycle appears when the temperature gradient (bifurcation parameter) goes beyond the critical value. The equation governing the bifurcation can be essentially written in the differential equation. In this study, the evolution equation was determined by measuring the energy of oscillation.
The unstable points were found in the evolution equation of thermoacoustic system which has the hysteresis phenomena. Therefore, the system in this study is the subcritical Hopf bifurcation.

Free Research Field

熱・流体力学