Generalization of the law of the wall.

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2002

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Köken, Mete

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In this study the classical law of the wall, which is obtained for the flat plate, is generalized such that it will hold true for the turbulent axisymmetrical flow as well. A turbulent boundary layer on a transversly curved surface has a different structure from that of a flat plate boundary layer. This transverse curvature effect is of importance in computations of the boundary layer near the tail of a body of revolution^ in estimating the surface resistance of ship models, or other three- dimensional elongated bodies. Classical law of the wall expressions do not hold true for these cases. A new logarithmic mixing length* which takes into consideration the effect of transverse curvature on turbulance, is proposed in the law of the wall region. Making use of the Navier-Stokes Equations and the new mixing length model the generalized law of the wall expressions are obtained. Obtained expressions are verified for the various velpcity profile data.

Subject Keywords

Law of the wall, Axisymmetrical flow, Transverse curvature, Turbulence

URI

https://hdl.handle.net/11511/12743

Collections

Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

M. Köken, “Generalization of the law of the wall.,” Middle East Technical University, 2002.