The Xi Function.

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.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA188680

Entities

People

  • James D. Walker
  • Richard K. Scharnhorst

Organizations

  • Lehigh University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Fluid Mechanics
  • Integrals
  • Layers
  • Mechanical Engineering
  • Mechanics
  • Scientific Research
  • Turbulent Boundary Layer
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Fluid Mechanics and Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.