Physics – Fluid Dynamics
Scientific paper
2002-09-11
Pis'ma v ZhETF (JETP Letters), 76, no 6 (2002)
Physics
Fluid Dynamics
Scientific paper
10.1134/1.1525034
It is shown that the Euler hydrodynamics for vortical flows of an ideal fluid coincides with the equations of motion of a charged {\it compressible} fluid moving due to a self-consistent electromagnetic field. Transition to the Lagrangian description in a new hydrodynamics is equivalent for the original Euler equations to the mixed Lagrangian-Eulerian description - the vortex line representation (VLR). Due to compressibility of a "new" fluid the collapse of vortex lines can happen as the result of breaking (or overturning) of vortex lines. It is found that the Navier-Stokes equation in the vortex line representation can be reduced to the equation of the diffusive type for the Cauchy invariant with the diffusion tensor given by the metric of the VLR.
Kuznetsov Evgenii A.
No associations
LandOfFree
Vortex line representation for flows of ideal and viscous fluids 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 Vortex line representation for flows of ideal and viscous fluids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vortex line representation for flows of ideal and viscous fluids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-160379