Adjoint-based linear analysis in reduced-order thermo-acoustic models

作者：Magri Luca^*; Juniper Matthew P

来源：International Journal of Spray and Combustion Dynamics, 2014, 6(3): 225-246.

DOI：10.1260/1756-8277.6.3.225

This paper presents the linear theory of adjoint equations as applied to thermo-acoustics. The purpose is to describe the mathematical foundations of adjoint equations for linear sensitivity analysis of thermo-acoustic systems, recently developed by Magri and Juniper (J. Fluid Mech. (2013), vol. 719, pp. 183-202). This method is applied pedagogically to a damped oscillator, for which analytical solutions are available, and then for an electrically heated Rijke tube with a mean-flow temperature discontinuity induced by the compact heat source. Passive devices that most affect the growth rate/frequency of the electrical Rijke-tube system are presented, including a discussion about the effect of modelling the mean-flow temperature discontinuity.

• 出版日期2014-9