Accession Number : ADA188680

Title :   The Xi Function.

Descriptive Note : Interim rept. Jul 85-Jan 86,

Corporate Author : LEHIGH UNIV BETHLEHEM PA DEPT OF MECHANICAL ENGINEERING AND MECHANICS

Personal Author(s) : Walker, James D ; Scharnhorst, Richard K

PDF Url : ADA188680

Report Date : Jan 1986

Pagination or Media Count : 34

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.

Descriptors :   *TURBULENT BOUNDARY LAYER, ASYMPTOTIC SERIES, FORTRAN, FUNCTIONS(MATHEMATICS), INTEGRALS, LAYERS, TABLES(DATA), WALLS, MATHEMATICAL MODELS

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE