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Nonlinear temperature field near the stack ends of a standing-wave thermoacoustic refrigerator

机译：驻波热声制冷机烟囱末端附近的非线性温度场

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摘要

The nonlinear temperature field in the vicinity of the stack of a standing-wave thermoacoustic refrigerator is investigated both theoretically and experimentally. First, the problem is addressed theoretically by a one-dimensional nonlinear model that predicts the generation of thermal harmonics near the ends of the stack. The model relies on a relaxation-time approximation to describe transverse heat transfer between the stack walls and the working fluid. It extends a previous model proposed by [Gusev et al., Thermal wave harmonics generation in the hydrodynamical heat transport in thermoacoustics, J. Acoust. Soc. Am. 109 (2001) pp. 84-90], by including the effect of axial conduction on temperature fluctuations. Second, the nonlinear temperature field is investigated experimentally. The amplitude of temperature fluctuations behind the stack at the fundamental frequency and second harmonic are measured using cold-wire anemometry. The measurements rely on a procedure recently developed by the authors that allows a full correction of the thermal inertia of the sensor. Experimental results are in good agreement with the predictions of the model. The generation of thermal harmonics behind the stack is thus validated. The influence of the Peclet number on the thermal field, which depends on the diffusivity of the working fluid and on the acoustic frequency and pressure level, is also demonstrated.
机译：从理论和实验上研究了驻波热声制冷机烟囱附近的非线性温度场。首先，理论上通过一维非线性模型解决了该问题，该模型预测了烟囱末端附近热谐波的产生。该模型依靠松弛时间近似来描述烟囱壁和工作流体之间的横向传热。它扩展了由[Gusev等人，J。Acoust在热声中的流体动力传热中产生热波谐波的模型]。 Soc。上午。 109（2001）pp。84-90]，包括轴向传导对温度波动的影响。其次，对非线性温度场进行了实验研究。使用冷线风速仪测量在基频和二次谐波下在堆垛后面的温度波动幅度。这些测量结果依赖于作者最近开发的一种程序，该程序允许对传感器的热惯性进行完全校正。实验结果与模型的预测吻合良好。因此，可以验证烟囱后面热谐波的产生。还显示了佩克利数对热场的影响，该影响取决于工作流体的扩散率以及声频和声压级。

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