Action-type variational principles for hyperbolic and parabolic heat & mass transfer
AbstractFor the field or Eulerian description of heat conduction, a method is discussed associated with description of thermal fields by a variational principle involving suitably constructed potentials rather than original physical variables. The considered processes are: simple hyperbolic heat transfer and coupled parabolic transfer of heat, mass and electric charge. By using various gradient or nongradient representations of original physical fields in terms of potentials, which are quantities of similar sort as those which Clebsch used in his representation of hydrodynamic velocity, suitable action-type criteria can be found, and corresponding Lagrangian and Hamiltonian formalisms can be developed. Symmetry principles can also be considered and components of energy-momentum tensor can be evaluated for a gauged lagrangian. The limiting reversible case appears as a suitable reference frame. The results suggest that thermodynamic irreversibility does not change neither kinetic potential nor action functional; it only complicates potential representations of physical fields in comparison with those describing the reversible evolution.
|Journal series||International Journal of Applied Thermodynamics, ISSN 1301-9724, e-ISSN 2146-1511|
|Publication size in sheets||0.5|
|Keywords in English||variational priciples, least action, extended irreversible thermodynamics|
|Publication indicators||: 2014 = 0.974|
|Citation count*||4 (2015-02-24)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.