A Variational Clebsch Formulation for Viscous Fluid Dynamics
Year: 2026
Type: article
Abstract: This work introduces a consistent phenomenological variational formulation for viscous and dissipative fluid dynamics based on an extended Clebsch decomposition of the velocity field. Starting from the classical action principle for ideal fluids, a non-conservative contribution governing entropy production is incorporated to account for irreversible processes associated with shear/bulk viscosities and thermal conduction. The resulting framework naturally integrates fundamental thermodynamic variables—such as specific entropy, temperature, and internal energy—into the Eulerian Lagrangian description. The corresponding Euler-Lagrange equations yield a modified momentum balance equation that recovers the Navier-Stokes structure alongside additional thermodynamic driving forces.
Author: Saya, Biagio
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7162934578
FWCI:
Cites:
Cited by:
Related to: