On the Stability of Two Basic Parallel Flows: Analysis, Progress Report and Proposal for Further Research,

Abstract

This report provides a detailed technical outline and evaluation of research on the hydrodynamic stability of plane Poiseuille flow and of pipe Poiseuille flow. Each case involves significant discrepancies between the predictions of conventional theory and the results of actual experimental observations. In particular, the conventional theory fails completely to account for the well known instability of ordinary pipe flow. This report describes a more general theory which shows promise of overcoming the above limitations. The new theory involves a number of innovations in the formulation of some of the basic equations, in the formulation of certain boundary conditions, and in the formulation of the criterion of stability itself. The analytical work is essentially complete and preliminary calculations, while still of limited scope, appear to support the theory and are therefore quite encouraging.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1977
Accession Number
ADA041946

Entities

People

  • T. H. Gawain

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Boltzmann Equation
  • Boundaries
  • Complex Variables
  • Differential Equations
  • Eigenvalues
  • Equations
  • Flow
  • Flow Fields
  • Incompressible Flow
  • Observation
  • Pipe Flow
  • Poiseuille Flow
  • Reynolds Number
  • Theorems
  • Three Dimensional
  • Waveforms

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Systems Analysis and Design