%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 }