Toward the analytical model of SEI formation and development in lithium-ion battery: The case of solution of the nonlinear transport equation

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Abstract

The nonlinear lithium-ion transport equation with variable diffusion coefficient is considered in this research. The solution is produced by transforming the second order spatial variable into the first order differential in, ξ. The method of characteristics is then implemented for covering the initial-boundary conditions. Several interesting results are obtaining after the calculating the generated solution. It is found that dendrite formation is detected after 100 s which is considered as steady operation. In this case, the concentration ratio is smaller than boundary value at the top surface and the ratio of tip and surface current is high. Also the development of dendrite length is investigated to support the insight from the analytical model.

Original languageEnglish
Article number012068
JournalJournal of Physics: Conference Series
Volume974
Issue number1
DOIs
Publication statusPublished - 22 Mar 2018
Event3rd International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2017 - Surabaya, Indonesia
Duration: 1 Nov 20171 Nov 2017

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