Physics – Fluid Dynamics
Scientific paper
2003-02-19
Physics
Fluid Dynamics
9 pages, revtex4, 6 eps-figures
Scientific paper
10.1103/PhysRevE.67.066301
Hamiltonian dynamics of a thin vortex filament in ideal incompressible fluid near a flat fixed boundary is considered at the conditions that at any point of the curve determining shape of the filament the angle between tangent vector and the boundary plane is small, also the distance from a point on the curve to the plane is small in comparison with the curvature radius. The dynamics is shown to be effectively described by a nonlinear system of two (1+1)-dimensional partial differential equations. The hodograph transformation reduces that system to a single linear differential equation of the second order with separable variables. Simple solutions of the linear equation are investigated at real values of spectral parameter $\lambda$ when the filament projection on the boundary plane has shape of a two-branch spiral or a smoothed angle, depending on the sign of $\lambda$.
No associations
LandOfFree
The hodograph method applicability in the problem of long-scale nonlinear dynamics of a thin vortex filament near a flat boundary 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 The hodograph method applicability in the problem of long-scale nonlinear dynamics of a thin vortex filament near a flat boundary, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The hodograph method applicability in the problem of long-scale nonlinear dynamics of a thin vortex filament near a flat boundary will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-721813