Differential Forms of Euler's Turbo-Machinery Equation

Abstract

GAlilean transformations between the absolute and moving frame impose a crypto-steady state relation between time derivations of a thermodynamic function in the absolute frame and their gradients in the moving frame. These crypto steady relationships are inherently contained within the Navier-Stokes Equations for the absolute and moving frames. The substantial total enthalpy derivative coupled with the substantial entropic energy derivative may be written solely in terms of the flow field of the moving frame. In the moving frame the relative total enthalpy, known as the rothalpy, yields a vanishing substantial derivative. Therefore, the substantial entropic energy derivative is uncoupled and explicit in the moving frames and may be used to obtain an uncoupled explicit substantial total enthalpy derivative.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1989
Accession Number
ADA207279

Entities

People

  • Herman B. Urbach

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Energy
  • Energy Transfer
  • Engineering
  • Equations
  • Equations Of State
  • Flow Fields
  • Fluid Dynamics
  • Kinetic Energy
  • Mass Flow
  • Mechanical Engineering
  • Navier Stokes Equations
  • Pressure Distribution
  • Pressure Gradients
  • Steady State
  • Time Dependence
  • Turbomachinery
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.