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This thesis examines how taking into account surface to surface radiation
impacts the cooling process in general. We formulate the non local bound-
ary condition after introducing the general setting for the cooling model. In
section 3, the mathematical description of the radiative heat transfer is dis-
cussed. We cover the implementation of the radiative matrix in section 4,
which is followed by a brief explanation of the radiative matrix’s structure
and several techniques to dealing with the accompanying challenges.
We investigate the importance of radiative heat transport by applying the
given approach to a two-dimensional geometry and computing the ensuing
cooling curves. We compare the findings of our computation to those ac-
quired from experiment conducted and find that they are extremely similar.
There is a considerable difference (of about 35%) in the time of cooling of the
surface where there is a possibility of influence of radiation from the second
surface to that of the surface with no influence at all. Although it is possible
to infer that heat convection plays a role in the total result, this has yet to be
proved. However, one can clearly see the significance of the surface to surface
radiative heat transfer on these parts confirming the research question posed
at the begining. The effect of the surface to surface radiative heat transfer
has an influence on the resulting cooling time and should be considered in
the model.