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Unformatted text preview: Tony Burdens Lecture Notes on Turbulence, Spring 2007 Chapter 3. Thin Shear Layers and Free Shear Flows 3a Thin-shear-layer Equations examples free shear flows, such as jets, wakes and mixing layers, and wall- bounded flows, such as boundary layers and wall jets. empirical observation; U x U y . Order-of-magnitude estimates Let U U , U x U L and U y U . Then, U x U y L. See the next section for examples of the velocity scales U and U . Statistically stationary and two-dimensional flow field, The two-component, two-dimensional velocity is, U ( x, y ) , V ( x, y ) , . The Reynolds stress is, - h u 2 i - h u v i- h u v i - h v 2 i- h w 2 i , and depends only on x and y . All the components are assumed to have the same order of magnitude, h u i u j i u 2 T . the continuity condition and the transverse component of velocity U x + V y = 0 V L U U....
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- Spring '11