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Governing Equations on the Micro Scale

Continuum models encompass both micro and macro scales and in li-ion models the microscale is governed by the solid phase diffusion equation. The coupling of the microscale and the macroscale variables pose computational limitations. [Pg.322]

The concentration of lithium at the solid/solution interface, , is obtained by solving the Pick s law in spherical coor- [Pg.322]

The porewall flux occurs as a boundary condition for the micro-scale as opposed to being a source term for the macroscale. For certain battery chemistries rectangular or cylindrical diffusion might be more relevant. [Pg.323]

the diffusion coefficient, which is assumed to be a constant for most modehng purposes, sometimes needs to be functionalized. In cases where the diffusion coefficient depends non-linearly on concentration the coupling becomes much harder. [Pg.323]

When the diffusivity changes as a function of concentration (SOC), the governing equation is [Pg.323]


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