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If physics had always appreciated the molecular basis of "thermal
energy", so that caloric had NEVER been proposed, we would feel
free to speak of the flow of heat just as glibly as we now speak
of the flow (or transport, or velocity, or propagation) of so many
other non-substantial (and even purely mathematical) entities
without outcries of "heresy!" from our colleagues.
I strongly recommend the (laborious) reading of Bridgman's "The
Nature of Thermodynamics" (Harper Torchbooks, 1961) in which the
"flow" of all sorts of things is examined. This includes the
flow of heat, the flow of mechanical energy within stressed,
moving structures (a highly useful - perhaps indispensable -
model in mechanical engineering), the flow of entropy (which can
even increase in total quatity as it "flows"!), etc. He also
examines the block sliding over the plate! Also criticized is
the notion of describing entropy as a measure of "disorder"!