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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 Thinshearlayer 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 . Orderofmagnitude 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 twodimensional flow field, The twocomponent, twodimensional 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
 Staff
 Shear

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