課程概述 |
一、課程簡介:
紊流,或稱亂流,顧名思義就是亂七八糟的流場。在我們的日常生活中,在大自然裡,在工業應用中,它,幾乎占據了所有場合。說它亂,因為它無法預測與掌控;所謂亂,是量測到的數據永遠跳動不定,也不重複。事實上,不必到光速,甚至不必到聲速,紊流就可以發生。那就是說它再怎麼亂,也該遵守三大守恆定律吧!那就是說它再怎麼亂,也是有某種「秩序」的亂吧!什麼樣的秩序可以存在在紊流中呢?在這些秩序下,紊流又是如何「亂」呢?「亂中有序」,似混沌。可是,紊流與混沌是同一種東西嗎?
這一門課,我們希望定性地一灠紊流的世界,並入門式地介紹相關分析預測的工具。
課程內容大致安排如下:
1. Physical nature of turbulence: regularity, chaos and turbulence; intermittence and similarity
2. Space and time scales in turbulence: vortex stretching and viscous dissipation
3. Statistical tools: mean and fluctuations; illustrative examples
4. Classical models of jets, wakes, and boundary layers
5. Decomposition of scales: spectral analysis
6. Kolmogorov theory and intermittence theories
7. Turbulence simulations: DNS, LES, RANS
二、先修課程:
流體力學
三、教科書: An Introduction to Turbulent Flow
J. Mathieu and J. Scott, Cambridge
參考書目:
1. The Physics of Fluid Turbulence/W.D. McComb
2. Turbulence in Fluids: Stochastic and Numerical Modelling/M. Lesieue
3. The Theory of Homogeneous Turbulence/G.K. Batchelor
4. A First Course in Turbulencce/H. Tennekes and J.L. Lumle
5. Viscous Fluid Flow/Frank M. White
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