Abstract
Abstract : This report is a compendium of properties of a mathematical function (the Xi function) which arises in the modeling of turbulent boundary-layer flows near solid walls. The Xi function is formally defined as a triple integral which cannot be easily expressed in terms of elementary or known special functions. Thus series and asymptotic expansions are developed here as well as a table of integrals (most of which are indefinite). The function and its derivative are tabulated correct to ten significant figures. A FORTRAN function routine for the calculation of Xi(x) and Xi (x) is also given. Keywords: Turbulent boundary layers; Wall layer models; Wall functions.
Published Version
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