Self-excited Oscillations and Fuel Control of a Combustion Process in a Rijke Tube
-
Rudolf R. Pušenjak
,
Igor Tičar
Abstract
This paper treats the control of nonstationary oscillations of the pressure which arise in the combustion process of a Rijke tube. The low order model of a nonstationary combustion process in a Rijke tube with multiplicative feedback control function is considered, which is investigated by means of two-DOF coupled van der Pol oscillator. The self-excited oscillations in the combustion process are analysed by means of the Extended Lindstedt-Poincare (EL-P) method with multiple time scales. By applying the EL-P method, it is ascertained, that nonstationary oscillations are almost periodic with amplitude and phase, which are functions of the slow time scale. Without control of the fuel influx, the self excited oscillations can approach limit cycles. By applying the fuel control, the influence of control parameters on the quenching of the self excited oscillations is investigated in a phenomenon of competitive quenching and mutual synchronization with close frequencies and multiple harmonics, respectively.
©2014 by Walter de Gruyter Berlin/Boston
Articles in the same Issue
- Frontmatter
- Self-excited Oscillations and Fuel Control of a Combustion Process in a Rijke Tube
- Synchronization of Strictly Different Hyperchaotic Systems with Uncertain Parameters and Models
- Modeling of Synthetic Turbulence Generation in Boundary Layer by Using Zonal RANS/LES Method
- A Meshless Method of Lines for Numerical Solution of Some Coupled Nonlinear Evolution Equations
- A Study of Higher Order Terms in Shallow Water Waves via Modified PLK Method
- Numerical Simulation of Stochastic Inverse Problems in Rigid-Poro-Plastic Materials
- Analytic Investigation of a Reaction-diffusion Brusselator Model with the Time-space Fractional Derivative
- Validation of CE/SE Scheme in Low Mach Number Direct Aeroacoustic Simulation
Articles in the same Issue
- Frontmatter
- Self-excited Oscillations and Fuel Control of a Combustion Process in a Rijke Tube
- Synchronization of Strictly Different Hyperchaotic Systems with Uncertain Parameters and Models
- Modeling of Synthetic Turbulence Generation in Boundary Layer by Using Zonal RANS/LES Method
- A Meshless Method of Lines for Numerical Solution of Some Coupled Nonlinear Evolution Equations
- A Study of Higher Order Terms in Shallow Water Waves via Modified PLK Method
- Numerical Simulation of Stochastic Inverse Problems in Rigid-Poro-Plastic Materials
- Analytic Investigation of a Reaction-diffusion Brusselator Model with the Time-space Fractional Derivative
- Validation of CE/SE Scheme in Low Mach Number Direct Aeroacoustic Simulation
