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首页> 外文期刊>International Journal of Heat and Mass Transfer >Energy growth of disturbances in a non-Fourier fluid
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Energy growth of disturbances in a non-Fourier fluid

机译：非傅立叶流体中扰动的能量增长

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摘要

Natural convection of non-Fourier fluid of the single-phase-lagging (SPL) type between two horizontal walls (Rayleigh-Benard) has been investigated. These fluids possess a relaxation time, reflecting the delay in the response of the heat flux and the temperature gradient with respect to one another. By invoking the role of the eigenvectors to detect and quantify short-time behavior, transient growth of energy of disturbances has been illustrated. The energy of the perturbations is introduced in terms of the primary variables as a disturbance measure in order to quantify the size of the disturbance. In contrast to linear stability analysis, one does not assume exponential time dependence, but monitor the evolution of initial conditions in the pre- and post-critical ranges of Rayleigh numbers. Different growth functions for different levels of non-Fourier effects have been found, which should be thought of as the envelope of the energy evolution of individual initial conditions. Also, it is found that nonlinearities are not required for the energy growth. Energy growth can occur if non-orthogonal eigenfunctions are available. A fundamental implication of the non-normality is that there can be significant energy growth in the energy of perturbations even if the flow is stable.
机译：研究了两个水平壁（Rayleigh-Benard）之间单相滞后（SPL）类型的非傅立叶流体的自然对流。这些流体具有弛豫时间，反映了热通量和温度梯度相对于彼此的响应的延迟。通过调用特征向量的作用来检测和量化短时行为，已说明了干扰能量的瞬时增长。为了量化干扰的大小，根据主要变量引入干扰的能量作为干扰度量。与线性稳定性分析相比，不假设指数时间依赖性，而是监视瑞利数在临界前和临界后范围内初始条件的演变。已经发现了针对不同水平的非傅立叶效应的不同生长函数，应将其视为单个初始条件能量演化的包络。而且，发现能量增长不需要非线性。如果非正交本征函数可用，则会发生能量增长。非常态的基本含义是，即使流量稳定，扰动能量中的能量也会显着增长。

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