Moving-Frame Time Dependence in a Differential Turbomachinery Equation with Viscous Correction

Abstract

A Differential Turbomachinery Equation describing the energy transfer between a fluid and any body moving in that fluid was derived. The derivation is based upon the Coriolis form of the Navier-Stokes Equations. A differential equation for the total relative rothalpy is also obtained. Both equalities contain a rigorous correction. Both may be evaluated in the absolute and moving frame. On integration of the differential equations, a form of the Euler Turbomachinery Equation with viscous correction is derived. The resultant form contains two distinct work rate terms for the axial and radial components of the flow. The fact that integration yields a result which approximates the classic Euler Turbomachinery Equation constitutes confirmation of the derivation. An application of the equation to an ideal infinite linear cylinder with bound vorticity was developed, yielding the expected known results.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1991
Accession Number
ADA241594

Entities

People

  • Herman B. Urbach

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Coordinate Systems
  • Differential Equations
  • Energy
  • Energy Transfer
  • Engineering
  • Equations
  • Flow Fields
  • Flow Rate
  • Fluid Dynamics
  • Fluid Mechanics
  • Gliders
  • Heat Transfer
  • Mechanical Engineering
  • Physics Laboratories
  • Turbomachinery
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.