The turbulent shear stress in a two-dimensional flow is given by Expanding v' x and v' y

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The turbulent shear stress in a two-dimensional flow is given by дт ду = -pUxVy (Тук) шuѣ — рем PEM (Тж)uѣ ух )turb

Expanding v'x and v'y in a Taylor series in x and y near the wall and with the aid of the continuity equation дv, ду х дх ду

show that, near the wall, εM ˆ¼ y3 + higher-order terms in y. How does this compare with the mixing-length theory?

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Fundamentals Of Momentum Heat And Mass Transfer

ISBN: 9781118947463

6th Edition

Authors: James Welty, Gregory L. Rorrer, David G. Foster

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