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New asymptotic models are formulated to capture the thermal transfer acrossfalling films. These models enable to simulate a wide range of Biot and Pecletnumber values, without displaying nonphysical behaviors. The models correctlycapture the onset of the thermally developed regime at the inlet of the flow.To evaluate the parameter space of acceptability, a comparison has been madewith the primitive equation solution for periodic boundary conditions, as wellas for an open flow with a periodic forcing at inlet. A good agreement isobtained for moderate to high Peclet numbers.

A new family of reduced models for non-isothermal falling films