EVALUATION OF MOLECULAR WEIGHT FROM EQUILIBRIUM SEDIMENTATION. PART IV: APPLICATION OF TIKHONOV'S REGULARIZING FUNCTIONS

Abstract

Determination of a molecular weight distribution (MWD) from equilibrium sedimentation was investigated. Such a determination requires a solution of the Fujita equations, which proved to be a mathematically Improperly Posed Problem in Hadamard sense. To avoid these difficulties an approximate computational technique was applied which is based on variational calculus widened to include Tikhonov's regularizing functions. It was shown that this is an excellent method for determining a monomodal distribution. Also, the determination of a bi-modal distribution provided satisfactory results. However, a multi-modal distribution (fine structure in a MWD) requires the application of an additional algorithm.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1970
Accession Number
AD0713632

Entities

People

  • Donald R. Wiff
  • Matatiahu T. Gehatia

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Algorithms
  • Calculus
  • Classification
  • Computations
  • Computer Programs
  • Equations
  • Error Analysis
  • Government Procurement
  • Integral Equations
  • Inverse Problems
  • Materials Laboratories
  • Molecular Weight
  • Security
  • Sedimentation
  • Test And Evaluation

Readers

  • Aerosol Science/Aerosol Physics
  • Military Logistics and Supply Chain Management
  • Systems Analysis and Design