A Variational Principle for Dissipative Fluid Dynamics(Cross-Disciplinary Physics)
スポンサーリンク
概要
- 論文の詳細を見る
In the variational principle leading to the Euler equation for a perfect fluid, we can use the method of undetermined multiplier for holonomic constraints representing mass conservation and adiabatic condition. For a dissipative fluid, the latter condition is replaced by the constraint specifying how to dissipate. Noting that this constraint is nonholonomic, we can derive the balance equation of momentum for viscous and viscoelastic fluids by using a single variational principle. We can also derive the associated Hamiltonian formulation by regarding the velocity field as the input in the framework of control theory.
- 2012-05-25
著者
-
FUKAGAWA Hiroki
School of Fundamental Science & Technology, Keio University
-
FUJITANI Youhei
School of Fundamental Science & Technology, Keio University
-
Fukagawa Hiroki
School Of Fundamental Science And Technology Keio University
-
FUKAGAWA Hiroki
School of Fundamental Science and Technology, Keio University
-
FUJITANI Youhei
School of Fundamental Science & Technology, Keio University:Institute of Industrial Science, University of Tokyo
関連論文
- Clebsch Potentials in the Variational Principle for a Perfect Fluid(Cross-Disciplinary Physics)
- Steady Stokes Flow in and around a Droplet Calculated Using Viscosity Smoothened across Interface(Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics and Fluid Mechanics)
- Concentration Fluctuation in a Two-Component Fluid Membrane Surrounded with Three-Dimensional Fluids(Condensed matter: structure and mechanical and thermal properties)
- Vacancy-Assisted Diffusion in a Honeycomb Lattice and in a Diamond Lattice(Condensed Matter : Structure, Mechanical and Thermal Properties)
- Group-Theoretical Calculation of the Diffusion Coefficient via the Vacancy-Assisted Mechanism(Condensed Matter : Structure, Mechanical and Thermal Properties)
- Self-Diffusion in a Lattice via the Interstitialcy Mechanism(Condensed matter: structure and mechanical and thermal properties)
- Connection of Fields across the Interface in the Fluid Particle Dynamics Method for Colloidal Dispersions(Electromagnetism, optics, acoustics, heat transfer, classical mechanics, and fluid mechanics)
- One-Dimensional Shift of a Brownian Particle under the Feedback Control
- A Variational Principle for Dissipative Fluid Dynamics(Cross-Disciplinary Physics)
- Drag Coefficient of a Liquid Domain in a Fluid Membrane
- Perturbation Calculation for the Density Profile across the Flat Liquid–Vapor Interface in the Steady Heat-Flow State
- Numerical Study on the Generalized Second Law for a Brownian Particle under the Linear Feedback Control
- Drag Coefficient of a Liquid Domain in a Fluid Membrane Almost as Viscous as the Domain
- A Variational Principle for Dissipative Fluid Dynamics
- Drag Coefficient of a Rigid Spherical Particle in a Near-Critical Binary Fluid Mixture
- Flow around a Circular Pore of a Flat and Incompressible Fluid-Membrane
- Drag Coefficient of a Raftlike Domain Embedded in a Fluid Membrane Being a Near-Critical Binary Mixture
- Jarzynski Equality Modified in the Linear Feedback System