On the Swirling Flow between Rotating Coaxial Disks: A Survey.

Abstract

Consider solutions (H(x, epsilon), G(x, epsilon)) of the von Karman equations for the swirling flow between two rotating coaxial disks (1.1) epsilon H'''' + HH''' + GG' equal 0, (1.2) epsilon G'' + HG' - H'G equal 0. In this survey we describe much of the activity of the past 30 years - involving physical conjecture, numerical computation, asymptotic expansions and rigorous mathematical results. In particular we focus on the questions of existence and nonuniqueness, monotonicity, and scaling. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA114551

Entities

People

  • Seymour V. Parter

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundary Layer
  • Computations
  • Differential Equations
  • Eddies (Fluid Mechanics)
  • Equations
  • Flow
  • Mathematics
  • Military Research
  • New York
  • North Carolina
  • Numbers
  • Reynolds Number
  • Sequences
  • Steady State
  • United States
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.
  • Statistical inference.