Relation of the One-Phase Stefan Problem to the Seepage of Liquids and Electrochemical Machining,

Abstract

The flow of water through a dam of fairly arbitrary shape is examined in the limit of large frictional drag on the flow. The relation of the problem to the one-phase Stefan problem and a problem of anodic smoothing is explored. Monotonicity and uniqueness results for the solution of the time-depedent problem are obtained. Numerical solution of the time-dependent problem is considered. Algorithms to treat the steady state problem are studied in detail. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1979
Accession Number
ADA079641

Entities

People

  • Joel C. W. Rogers

Organizations

  • Johns Hopkins University

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Flow
  • Hydrostatic Pressure
  • Incompressible Flow
  • Military Research
  • Physics
  • Physics Laboratories
  • Relaxation Time
  • Reservoirs
  • Steady State
  • Three Dimensional
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Electrochemical Engineering/ Fuel Cell Technologies
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)