[ ] Add the “reasonably/very conductive” model for the electrical problem. This is the limit you are normally in since the electrical conductivity of the current collectors is so large compared to that of the other components. This model is similar to the “1+1D” pouch cell model, but here you solve a 1D problem in r for the current collector potentials (note the operator is not the usual laplacian since the geometry is important here - see paper for details). In this limit the potentials do not depend on theta.
[ ] Add the “poorly/reasonably conductive” model for the thermal problem. This is the appropriate limit for the thermal problem since the thermal conductivities of the various components are more comparable. Here you solve a 2D problem in r and theta with an anisotropic thermal conductivity.
Add some of the models from the paper Homogenisation of spirally-wound high-contrast layered materials, S. Psaltis, R. Timms, C.P. Please, S.J. Chapman.
r
for the current collector potentials (note the operator is not the usual laplacian since the geometry is important here - see paper for details). In this limit the potentials do not depend ontheta
.r
andtheta
with an anisotropic thermal conductivity.