2003
DOI: 10.1149/1.1605743
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Modeling Heat Conduction in Spiral Geometries

Abstract: A two-dimensional ͑2-D͒ energy balance ͑the 2D model͒ is reduced to a one-dimensioanl ͑1-D͒ energy balance ͑the 1D-radialspiral model͒ by a coordinate transformation approach. The 1D-radial-spiral model, even though 1-D, captures both radial and spiral heat conductions over a wide range of design parameters. By comparing the temperature predictions of the 1D-radial-spiral model and the 2D model, parameter ranges were identified where spiral conduction was important and where the 1D-radial-spiral model held. Th… Show more

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Cited by 60 publications
(37 citation statements)
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“…The last four equations can be regarded as special cases from corresponding formulas of the spiral geometry restricted to the r − z−plane [48,49]. Therefore, this thermal model can be considered as a serial thermal network in r−direction and a parallel thermal network in z−direction.…”
Section: Simulationsmentioning
confidence: 99%
“…The last four equations can be regarded as special cases from corresponding formulas of the spiral geometry restricted to the r − z−plane [48,49]. Therefore, this thermal model can be considered as a serial thermal network in r−direction and a parallel thermal network in z−direction.…”
Section: Simulationsmentioning
confidence: 99%
“…In most of them, a thermal model is coupled with an electrochemical model so as to simulate the temperature profile of a battery under different operating conditions, geometries or cooling rate [2,3]. Such coupled models can also be used to explore pulse power limitations in order to prevent thermal runaway or to design heat dissipation systems [3][4][5].…”
Section: Introductionmentioning
confidence: 99%
“…The equation governing the evolution of the surface temperature (T s ) of the cell for a constant ambient temperature T amb has been calculated ( 5). …”
Section: ) Calculation Of the Parameters Of The Equivalent Modelmentioning
confidence: 99%
“…In bibliography different equations are found depending on the assumptions made by the author. In electrochemical models chemical and electrical aspects are taken into account when calculating q [4][5][6][7]. However, models based on experimental tests commonly use the equation proposed by Bernardi et al in [8]; experimental data and electrical variables are needed to calculate the internal heat generation parameter with this equation [9][10][11][12].…”
mentioning
confidence: 99%