A METHOD OF FORMING CONTINUOUS EMPIRICAL EQUATIONS FOR THE THERMODYNAMIC PROPERTIES OF AIR FROM AMBIENT TEMPERATURES TO 15,000K, WITH APPLICATIONS

Abstract

Research is presented which relates to automatic data reduction for arc-driven, hotshot-type wind tunnels which operate at high stagnation temperatures. Pressure and density are used as the simplest independent variables. It is shown that the Fermi-Dirac and Bose-Einstein functions serve as kernels of such transition functions, respectively, when a point of inflection enroute is or is not indicated. If a transition is considered as either a vertical or a horizontal offset, the limiting offset is linear and becomes the numerator of the transition function. Any number of such transition functions can be superimposed by simple addition, thereby rendering it possible to write a continuous equation involving as many transitions as may be necessary. Corresponding constants in successive equations at constant density are expressed as functions of density. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1959
Accession Number
AD0294171

Entities

People

  • Martin Grabau

Organizations

  • AGARD

Tags

DTIC Thesaurus Topics

  • Automatic
  • Data Reduction
  • Equations
  • Stagnation Temperature
  • Thermodynamic Properties
  • Transitions
  • Wind Tunnels

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.