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The Analysis of Magnetohydrodynamics and Plasma Dynamics in Metals Processing Operations

  • C. W. Chang
  • J. Szekely
  • T. W. Eagar
Chapter
  • 149 Downloads
Part of the Sagamore Army Materials Research Conference Proceedings book series (SAMC, volume 25)

Abstract

The principles of magnetohydrodynamics and plasma dynamics are reviewed in terms of their applications to fluid flow behavior in metals processing operations. The mathematical formulation of the problem is described in detail, while specific examples include induction stirring, electroslag welding, electric arc melting, and arc welding. It is shown that the calculated predictions of flow behavior in these operations correspond closely to the experimental data and, hence, the procedure outlined provides a useful new tool in understanding metals processing systems.

Keywords

Lorentz Force Welding Current Induction Furnace Plasma Dynamics Fluid Flow Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notations

magnetic flux density

BO

characteristic magnetic flux density

electric field

f

characteristic frequency; distribution function

force; Lorentz force

b

body force; Lorentz force

H

magnetic field intensity

current density

O

current density of coil or arc

L

characteristic length

m

mass

p

pressure

q

charge

coordinate vector

rC

radius of cathode

R

gas constant

t

time

T

temperature

uO

characteristic velocity

umax

maximum velocity along the axis of the arc

velocity vector

εO

permittivity of free space

μ

molecular viscosity

μO

magnetic permeability of free space

ρ

density

σ

electrical conductivity

τ

stress tensor

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References

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Copyright information

© Plenum Press, New York 1981

Authors and Affiliations

  • C. W. Chang
    • 1
  • J. Szekely
    • 1
  • T. W. Eagar
    • 1
  1. 1.Department of Materials Science and EngineeringMassachusetts Institute of TechnologyCambridgeUSA

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