An Analytical Study of Some Problems in Partial Differential Equations With Applications to Fluid Dynamics and Wave Propagation

Abstract

Much of the research effort during the grant period was devoted to investigations of periodic waves, and stability in fluid dynamics. Progress was also mad on marching schemes in acoustic wave propagation. In the area of fluid dynamics, problems relating to spiral flows of a viscous incompressible fluid between concentric cylinders in the narrow gap limit were investigated. When the motion of the fluid is driven by rotating and sliding of the cylinders, the problem is that of rotating, plane, Couette flow; when an axial pressure gradient is added, rotating, plane, Couette-Poiseuille flow ensues. Various such problems for viscous, incompressible flow lead to abstract equations in a Banach space B.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1992
Accession Number
ADA260351

Entities

People

  • George H. Knightly

Organizations

  • University of Massachusetts Amherst

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Acoustic Waves
  • Acoustics
  • Computational Fluid Dynamics
  • Computational Science
  • Couette Flow
  • Differential Equations
  • Elastic Waves
  • Equations
  • Flow
  • Fluid Dynamics
  • Helmholtz Equations
  • Incompressible Flow
  • Partial Differential Equations
  • Poiseuille Flow
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Technical Research and Report Writing.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster