The Ideal Constant Volume Limit of Pulsed Propulsion

Abstract

A constant volume limit of pulsed propulsion is formulated which applies when blow down times are much longer than characteristic wave transit times in the combustion chamber. Under this limit, the combustion chamber is approximated as being time varying but spatially uniform, and the nozzle is approximated as being one dimensional but quasi-steady. Some analytical solutions for this limit with fixed expansion ratio nozzles are explored for the isentropic blow down of a constant) ideal gas. The results are compared with a variable expansion ratio case where the expansion ratio is continuously varied to match the pressure ratio during blow down. The major conclusions are that constant volume devices should optimize at approximately file same mixture ratios as constant pressure devices, and that using fixed expansion ratio results in only a modest impulse penalty, not exceeding 3% for the cases examined, compared to using a variable expansion ratio, as long as the fixed expansion ratio has been optimized to produce the maximum possible impulse for the blow down.

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Document Details

Document Type
Technical Report
Publication Date
Oct 25, 1999
Accession Number
ADA409975

Entities

People

  • Douglas G. Talley

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Chambers
  • Coefficients
  • Combustion
  • Combustion Chambers
  • Compression Waves
  • Contracts
  • Flow
  • Mass Flow
  • Military Research
  • Nozzles
  • Specific Impulse
  • Standards
  • Steady State
  • Supersonic Flow
  • Thrust

Fields of Study

  • Mathematics
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Mathematics or Statistics
  • Rocket Propulsion.