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Steady state Joule heating with temperature dependent conductivities (1986)

Young, John H.

Springer

Flow, turbulence and combustion 43 (1986), S. 55-65

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ISSN: 1573-1987

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Abstract A general solution is given to the nonlinear steady state heat conduction equation for the case in which a metal is heated by electrical conduction currents. The solution is valid for any temperature variation in the thermal and electrical conductivities and is illustrated by application to a typical Joule heating situation in one dimension. Comparison of the case of temperature dependent conductivities for a metal with the solution which assumes both of these conductivities to remain constant with varying temperature reveals some interesting differences between the two cases.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00385728

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