COMPUTING EQUILIBRIUM COMPOSITIONS OF IDEAL CHEMICAL SYSTEMS

Abstract

Six iterative methods are given for solving the chemical equilibrium problem, four primal and two dual. In chemical terms, each composition produced by a primal method satisfies the mass-balance laws while successive iterates more nearly satisfy the mass-action laws. Dual methods do the reverse. Also presented are two formulations of the chemical equilibrium problem as a more general linear-logarithmic problem, and two methods for solving the general problem. Of the four resulting primal methods, two (the Linear methods) need not converge to an optimal solution. The other two (the Quadratic methods) if applied to an appropriately modified chemical equilibrium problem, will certainly converge.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1970
Accession Number
AD0706020

Entities

People

  • James H. Bigelow

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Chemical Equilibrium
  • Chemical Laboratories
  • Computer Programming
  • Contracts
  • Energy
  • Equations
  • Free Energy
  • Inequalities
  • Iterations
  • Linear Programming
  • Mathematical Programming
  • Military Research
  • Nonlinear Programming
  • Notation
  • Operations Research
  • Quadratic Programming

Fields of Study

  • Mathematics

Readers

  • Combustion science or combustion engineering.
  • Operations Research