DEGENERACY IN IDEAL CHEMICAL EQUILIBRIUM PROBLEMS

Abstract

A single- or multi-phase chemical equilibrium problem may be though of as the problem of minimizing a particular nonlinear function (the free energy) of composition subject to the conditions that the composition vector be nonnegative and satisfy a system of linear equations (the mass-balance laws). It was pointed out in a previous paper (AD-706 018) that the free energy is convex and homogeneous of degree one, but that as a variable approaches zero, the free energy may behave badly. In this paper, the phase 'chemical equilibrium problem' refers only to a problem with a particular mathematical form. Problems of this form arise in many situations that are not classically denoted chemical equilibrium problems.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0706019

Entities

People

  • James H. Bigelow

Organizations

  • Stanford University

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Abstracts
  • Chemical Equilibrium
  • Chemical Laboratories
  • Classification
  • Contracts
  • Convex Sets
  • Energy
  • Equations
  • Free Energy
  • Geometric Programming
  • Governments
  • Inequalities
  • Military Research
  • Notation
  • Operations Research
  • Security
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion science or combustion engineering.
  • Educational Psychology