Design of Maximum Thrust Nozzles for Gas-Particle Flows. Volume 1. Theoretical Development and Results

Abstract

An optimization analysis is presented for nozzles with gas-particle flows. The problem is formulated to maximize the axial thrust produced along the nozzle contour for a general isoperimetric constraint such as constant nozzle length or constant nozzle surface area. The effects of the ambient pressure are included in the thrust expression to be maximized. The characteristic and compatibility equations are developed and numerical techniques are presented for use in conjunction with the characteristic and compatibility equations. A solution procedure is presented which determines whether or not a given nozzle contour is an optimal solution and a relaxation technique is presented which adjusts the nozzle contour toward the optimal solution. Selected parametric studies are presented. These studies illustrate the effects of changing mesh size, particle size, particle mass flow rate, inlet angle, drag coefficients, heat transfer coefficients, throat radius of curvature, and the scale on the thrust performance and the nozzle geometry of the optimal, fixed length nozzle.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0729439

Entities

People

  • Arnold A. Elsbernd
  • Joe D. Hoffman

Organizations

  • Purdue University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Calculus
  • Calculus Of Variations
  • Coefficients
  • Computer Programs
  • Computers
  • Energy Transfer
  • Equations
  • Euler Equations
  • Flow
  • Flow Fields
  • Flow Rate
  • Geometry
  • Heat Transfer
  • Heat Transfer Coefficients
  • Mass Flow
  • Particle Size

Fields of Study

  • Physics

Readers

  • Aerodynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Operations Research