弱非线性热声理论模型的建立及简化  

Establishment and Simplify of the Weakly Nonlinear Thermoacoustic Model

作　　者：高波[1] 罗二仓[1] 陈燕燕[1] 戴巍[1] 胡剑英[1] 喻力弘[1] 

机构地区：[1]中国科学院理化技术研究所低温工程学重点实验室,北京100190

出　　处：《工程热物理学报》2011年第8期1277-1282,共6页Journal of Engineering Thermophysics

基　　金：国家自然科学基金重大项目(No 50890180);国家自然科学基金项目(No.10874190);国家重点基础研究发展计划973项目(No.2010CB227303)

摘　　要：本文指出非零的周期平均热声效应在本质上是非线性的,应保留到二阶精度。在小振幅条件下,利用摄动方法,以无限大平板流道为例,建立了二阶精度的弱非线性热声理论模型,并在不同条件下对模型做了进一步简化。这一理论为理解热声系统的工作机制以及设计优化热声系统提供了强有力的理论工具。The author pointed a new viewpoint that the non-zero time-averaged thermoacoustic effects should be considered as nonlinear effects in physical essence in this paper. For the thermoacoustic systems with small oscillating amplitude, a set of weakly nonlinear thermoacoustic models was developed and simplified for the parallel-plate flowing passages by using the nonlinear perturbation method. This nonlinear thermoaconstic theory may provide a deep insight and powerful theoretical tool to understand and design thermoacoustic systems.

关 键 词：弱非线性热声理论模型 周期平均热声效应 简化 

分 类 号：TK123[动力工程及工程热物理—工程热物理]