回热器非线性热声动力学模型的研究

STUDY ON NONLINEAR THERMOACOUSTIC MODEL OF CYCLIC FLOW REGENERATOR

基于基本的守恒方程 ,研究了回热器在具有大振幅波动情况下的弱非线性热声动力学模型。其中 ,动量守恒方程采用理论性较强的瞬态Darcy模型 ,能量守恒方程则包括了多孔介质的高阶耗散效应。采用摄动法 ,并在唯象的基础上获得了能描述包括声流 (直流 )在内的非线性动力学效应及由此而导致的非线性时均热声动力学效应的局部解析方程组 。

Study on the nonlinear thermoacoustic model of a cyclic flow regenerator subjected to large amplitude oscillation has been made In the study a transient momentum equation based on Darcy model is adopted In addition,the dissipative effect by viscous porous medium is included in higher order energy equation and time averaged thermoacoustic effect With the perturbation method,a set of second order equations for describing second order dynamic and time averaged thermodynamic variables is derived in locally analytical form Also,the second order time averaged thermoacoustic effects resulting from second order time averaged components are discussed The nonlinear thermoacoustic model derived here is helpful to understand the working mechanism of cyclic flow regenerator