The transient temperature field existing about a cooled stationary electrical contact

Bryant, Michael D.; Oh, Seik

doi:10.1007/bf00382531

Cited by 6 publications

(1 citation statement)

References 9 publications

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“…(See for instance Bryant and Burton [3], Bryant and Oh [4] and Chen and Burton [5]). The usual assumption then made is that the potential can be obtained as a solution to Laplace's equation.…”

Section: Introductionmentioning

confidence: 99%

Quasi-linear electrical potentials in steady-state Joule heating

Young

1987

J Eng Math

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It is shown that, when account is taken of the temperature dependence of the electrical conductivity of a medium in steady-state conditions, the electrical potential obeys a quasi-linear, second-order partial differential equation. The equation is shown to be easily solved by means of a generalized Kirchhoff transformation, giving coordinate-free solutions in terms of functions which obey Laplace's equation. Steady-state temperatures resulting from the potential are shown to be significantly influenced by the quasi-linear potential when compared with the expected form which assumes the potential to satisfy Laplace's equation.

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Section: Introductionmentioning

confidence: 99%

Quasi-linear electrical potentials in steady-state Joule heating

Young

1987

J Eng Math

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Steady state Joule heating with temperature dependent conductivities

Young

1986

Appl. Sci. Res.

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Sensitivity Analysis and Optimization for Joule Heating With Temperature-Dependent Conductivities

Meriç

1990

Numerical Heat Transfer, Part B: Fundamentals

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The physic01 phenomenon of interest in this study relntes to the joule heating of solids with temperoture-dependent thermollelectricol conductivities ond coupled field equations. The sensiriviry anolysis (SA) expressions of o general integrol function01 with respecl to material and "loading" functions in the thermal-electric field are derived by using the adjoint variable method. The SA expressions ore generally used in the mathematicol programming solution methods of the so-called inverse problem.^, such as optimization andidentificon'on problems. I n particular, a two-dimension01 example optimimlion problem is studied numerically by discretizing the primary and adjointfield equations by the finiteelement method, while minimizing the objective function of optimiznlion by nonlinear programming routines. The poromelric studies performed with vorious mesh topologies and (finite) decision vectors indicate the feasibility and ejj7ciency ofthe proposed numeric01 scheme.

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The transient temperature field existing about a cooled stationary electrical contact

Cited by 6 publications

References 9 publications

Quasi-linear electrical potentials in steady-state Joule heating

Quasi-linear electrical potentials in steady-state Joule heating

Steady state Joule heating with temperature dependent conductivities

Sensitivity Analysis and Optimization for Joule Heating With Temperature-Dependent Conductivities

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