The Rijke Tube: A Green's Function Approach in the Frequency Domain

2010 ◽  
Vol 96 (4) ◽  
pp. 743-752 ◽  
Author(s):  
Maria A. Heckl
Keyword(s):  
Green’S Function ◽  
Frequency Domain ◽  
Green's Function ◽  
Function Approach ◽  
Rijke Tube

Stability analysis of the Rijke tube with a Green's function approach

2007 ◽  
Vol 305 (4-5) ◽  
pp. 672-688 ◽  
Author(s):  
Maria A. Heckl ◽  
M.S. Howe
Keyword(s):  
Stability Analysis ◽  
Green’S Function ◽  
Green's Function ◽  
Function Approach ◽  
Rijke Tube

The role of solitons on the properties of electron transport through the CNT/t-PA/CNT system—a Green’s function approach

2007 ◽  
Vol 19 (11) ◽  
pp. 116211 ◽  
Author(s):  
H Milani Moghaddam ◽  
S A Ketabi ◽  
N Shahtahmasebi
Keyword(s):  
Electron Transport ◽  
Green’S Function ◽  
Green's Function ◽  
Function Approach ◽  
System A

Accurate analytical modeling of junctionless DG-MOSFET by green's function approach

2017 ◽  
Vol 111 ◽  
pp. 983-990 ◽  
Author(s):  
Ashutosh Nandi ◽  
Nilesh Pandey
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Analytical Modeling ◽  
Function Approach ◽  
Dg Mosfet

scholarly journals Analysis of the interaction of thermoacoustic modes with a Green’s function approach

2018 ◽  
Vol 10 (4) ◽  
pp. 326-336 ◽  
Author(s):  
Alessandra Bigongiari ◽  
Maria Heckl
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Initial Perturbation ◽  
Time History ◽  
Function Approach ◽  
Stability Maps ◽  
Flame Describing Function ◽  
The Stability ◽  
Dynamics Simulations ◽  
Fast Prediction

In this paper, we will present a fast prediction tool based on a one-dimensional Green's function approach that can be used to bypass numerically expensive computational fluid dynamics simulations. The Green’s function approach has the advantage of providing a clear picture of the physics behind the generation and evolution of combustion instabilities. In addition, the method allows us to perform a modal analysis; single acoustic modes can be treated in isolation or in combination with other modes. In this article, we will investigate the role of higher-order modes in determining the stability of the system. We will initially produce the stability maps for the first and second mode separately. Then the time history of the perturbation will be computed, where both the modes are present. The flame will be modelled by a generic Flame Describing Function, i.e. by an amplitude-dependent Flame Transfer Function. The time-history calculations show the evolution of the two modes resulting from an initial perturbation; both transient and limit-cycle oscillations are revealed. Our study represents a first step towards the modelling of nonlinearity and non-normality in combustion processes.

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