Abstract
The
Lagrangian
thermodynamic
equations
of irreversible
processes are extended to convective heat transfer.
This general-
ization provides equations for the unified analysis of transient
heat flow in complex systems comprising
solid structures and
moving fluids in either laminar or turbulent flow.
The concept
of a surface-heat-transfer
coefficient is eliminated from the formu-
lation.
The theory is developed along two different lines.
In
one approach a new concept referred to as the “trailing function”
is introduced.
It represents the surface-heat-transfer
properties
and may be evaluated by quite simple but remarkably
accurate
variational procedures.
The method of “associated
fields” is also
generalized to convective
phenomena.
The second line of ap-
proach extends to convective
heat transfer the thermodynamic
concept of entropy production
for both laminar and turbulent
flow.
The theory amounts to an extension of the thermody-
namics of irreversible processes to systems for which Onsager’s
relations are not valid.
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