A Variational Principle for Dissipative Fluid Dynamics

Details A Variational Principle for Dissipative Fluid Dynamics A Variational Principle for Dissipative Fluid Dynamics

2011-04-05

arxiv.org/abs/1104.0866v7

Physics

Fluid Dynamics

15 pages

Scientific paper

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 fluid with viscosity, the latter condition is replaced by the constraint specifying the way of dissipation. Noting that this constraint is nonholonomic, we can derive the balance equation of momentum for viscous and viscoelastic fluids in the framework of one variational principle. We can also derive the associated Hamiltonian formulation by regarding the velocity field as the input in the framework of control theory.

Affiliated with

Also associated with

No associations

Rating

A Variational Principle for Dissipative Fluid Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Variational Principle for Dissipative Fluid Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Variational Principle for Dissipative Fluid Dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-321546