Power-Series Solutions for Flows of an Ideal Dissociating Gas

Abstract

The report deals with the solution of certain problems in fluid mechanics by power-series expansion of the solution in the independent VARIABLE(s). The method is directly related to the well-known Frobenius method for determining analytic solutions of linear ordinary differential equations. However, here the authors apply it to nonlinear systems of differential equations in as many as three independent variables. In consequence, the recursion formulas for the series coefficients are relatively complicated, and an electronic computer is required to effect and to store their solution.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 15, 1971
Accession Number
AD0735697

Entities

People

  • Chong W. Lee
  • John P. Moran

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Blunt Bodies
  • Boundary Layer
  • Chemical Reactions
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • New York
  • Power Series
  • Pressure Distribution
  • Shock Waves
  • Stagnation Point
  • Unmanned Ground Systems
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Microelectronics