Hydraulic Jump in One-dimensional Flow

Details Hydraulic Jump in One-dimensional Flow Hydraulic Jump in One-dimensional Flow

2005-08-17

arxiv.org/abs/cond-mat/0508388v2

European Physical Journal B, Vol. 48, Pg. 417, Year 2005

Physics

Condensed Matter

Other Condensed Matter

17 Pages, 8 Figures, 1 Table. To appear in European Physical Journal B

Scientific paper

10.1140/epjb/e2005-00404-0

In the presence of viscosity the hydraulic jump in one dimension is seen to be a first-order transition. A scaling relation for the position of the jump has been determined by applying an averaging technique on the stationary hydrodynamic equations. This gives a linear height profile before the jump, as well as a clear dependence of the magnitude of the jump on the outer boundary condition. The importance of viscosity in the jump formation has been convincingly established, and its physical basis has been understood by a time-dependent analysis of the flow equations. In doing so, a very close correspondence has been revealed between a perturbation equation for the flow rate and the metric of an acoustic white hole. We finally provide experimental support for our heuristically developed theory.

Affiliated with

Also associated with

No associations

Rating

Hydraulic Jump in One-dimensional Flow 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 Hydraulic Jump in One-dimensional Flow, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hydraulic Jump in One-dimensional Flow will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-138570