Lagrangian Thermodynamics of Heat Transfer in Systems Including Fluid Motion
M. Biot. Journal of the Aerospace Sciences, 29 (5):
568--577(1962)
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.
%0 Journal Article
%1 Biot62lagrangianthermodynamics
%A Biot, M. A.
%D 1962
%J Journal of the Aerospace Sciences
%K 1962 flow heat-transfer irreversibility thermodynamic
%N 5
%P 568--577
%T Lagrangian Thermodynamics of Heat Transfer in Systems Including Fluid Motion
%V 29
%X 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.
@article{Biot62lagrangianthermodynamics,
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. },
added-at = {2012-10-15T15:09:00.000+0200},
author = {Biot, M. A.},
biburl = {https://www.bibsonomy.org/bibtex/277482e6dbb643b7d0ac48ab64c8dc9aa/thorade},
interhash = {57a33ac3da9aae6d15d3b61c4d0d6f86},
intrahash = {77482e6dbb643b7d0ac48ab64c8dc9aa},
journal = {Journal of the Aerospace Sciences},
keywords = {1962 flow heat-transfer irreversibility thermodynamic},
number = 5,
pages = {568--577},
timestamp = {2012-10-15T15:09:00.000+0200},
title = {Lagrangian Thermodynamics of Heat Transfer in Systems Including Fluid Motion},
volume = 29,
year = 1962
}