The short answer is that the rougher the
texture, the more slowly the material will absorb
heat by touching something else. Heat can be
transferred ("traded") between two things in
different ways, and texture is not something that
matters much unless heat is absorbed directly from
one solid thing into another.
Imagine two solid blocks of iron. One of them
is very hot, and the other one is at room
temperature. Both of them are cube-shaped. If both
cubes are smooth (like slippery ice), then as long
as the two are touching, the cold cube can absorb
heat very quickly from the hot one. However, if
the hot cube is smooth, but the cold cube is
rough, then there would be less surface where
the two cubes are touching. This would make
the heat absorption slower. For the other modes of
heat transfer, texture will not play as big of a
role because the direct contact of objects (what
we called touching) is not required.
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