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The Xi Function.
Interim rept. Jul 85-Jan 86,
LEHIGH UNIV BETHLEHEM PA DEPT OF MECHANICAL ENGINEERING AND MECHANICS
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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 Xix and Xi x is also given. Keywords Turbulent boundary layers Wall layer models Wall functions.
APPROVED FOR PUBLIC RELEASE