TY  - JOUR
T1  - Flow Exergy as a Lagrangian for the Navier-Stokes Equations for Incompressible Flow
AU  - Sciubba, Enrico
PY  - 2004
DA  - September
JF  - International Journal of Thermodynamics
PB  - Uluslararası Uygulamalı Termodinamik Derneği İktisadi İşletmesi
WT  - DergiPark
SN  - 1301-9724
SP  - 115
EP  - 122
VL  - 7
IS  - 3
LA  - en
AB  - A novel variational derivation of the Navier-Stokes equations for incompressible flows is presented and discussed. The Lagrangian density is obtained from the exergy balance equation written for both the (Lagrangian) steady and quasi-stationary isothermal flows of an incompressible fluid. The exergy of a fluid mass (composed of a kinetic, a pressure-work, a diffusive, and a dissipative portion, the latter being the result of viscous irreversibility) is derived first, and it is then shown that a formal minimisation of the exergy variation (i.e. destruction) generates, without recurring to “local potentials”, the Navier-Stokes equations of motion under the given assumptions. The acceleration being held constant, the proposed variational method can be classified as a “restricted” principle.The problem is also briefly discussed both in its historical perspective and in its possible formal and practical implications.
KW  - Navier-Stokes variational
KW  - Navier-Stokes Lagrangian
KW  - Exergy-based Lagrangian
UR  - https://dergipark.org.tr/en/pub/ijot/issue//76673
L1  - https://dergipark.org.tr/en/download/article-file/65647
ER  -