MAGNETIC-FIELD EFFECTS IN HIGH-POWER BATTERIES .1. THE PENETRATION OF AN ELECTRIC-FIELD INTO A CYLINDRICAL CONDUCTOR

被引:2
作者
BATTAGLIA, V
NEWMAN, J
机构
[1] LAWRENCE BERKELEY LAB,DIV MAT SCI,BERKELEY,CA 94720
[2] UNIV CALIF BERKELEY,BERKELEY,CA 94720
关键词
D O I
10.1149/1.2054795
中图分类号
O646 [电化学、电解、磁化学];
学科分类号
081704 ;
摘要
The penetration of the axial component of an electric field into a cylindrical conductor is described by an asymptotic solution method for long and short times. The development of the respective current distributions allows for a mathematical comparison of the solution schemes and indicates that the current initially increases at a rate proportional to time until a time of order epsilon/sigma, subsequently at a rate proportional to the square root of time, and finally levels off exponentially to the steady-state value. Numerical estimates of these time frames for a bipolar lead-acid battery with porous lead electrodes of 0.10 m radius give values of 1 x 10(-18) s for the inner time regime and 0.1 s for the diffusion time regime. Criteria for the proper omission of the displacement current also are given.
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页码:703 / 708
页数:6
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