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.

Report Date:

1986-01-01

Pagination or Media Count:

34.0

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 Xix 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