Impose heat flux as boundary condition from other thermal model - PDE Toolbox

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Dear Community,
I am using the PDE Toolbox for a transient thermal analysis.
The analysis is a sequence of thermal transfers on different objects. I would like to use the heat flux on a face of object 1, calculated in the relevant thermal model, as a boundary condition for the thermal model of object 2, over the same time span.
Is it possible?
Otherwise, is it possible to change the mesh hmax in stacked multicuboids, according to the height?
Many thanks,

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