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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 13
  3. Journal of Mathematical Fluid Mechanics : Volume 13, Issue 1, March 2011
  4. Criteria for Floating I
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Journal of Mathematical Fluid Mechanics : Volume 19
Journal of Mathematical Fluid Mechanics : Volume 18
Journal of Mathematical Fluid Mechanics : Volume 17
Journal of Mathematical Fluid Mechanics : Volume 16
Journal of Mathematical Fluid Mechanics : Volume 15
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 13
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 4, December 2011
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 3, September 2011
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 2, June 2011
Journal of Mathematical Fluid Mechanics : Volume 13, Issue 1, March 2011
Asymptotic Behavior of Solutions of the Compressible Navier–Stokes Equation Around the Plane Couette Flow
On an Iterative Method for Approximate Solutions of a Generalized Boussinesq Model
On Stationary Solutions for 2-D Viscous Compressible Isothermal Navier–Stokes Equations
Navier’s Slip Problem for Motion of Inhomogeneous Incompressible Fluid-like Bodies
On Hydrostatic Free Surface Problems
Nearly Explicit Solutions and Uniqueness for the Fluid Flow and Heat Transfer in Porous Media with Temperature-Dependent Viscosity
Criteria for Floating I
Concerning the W k,p-Inviscid Limit for 3-D Flows Under a Slip Boundary Condition
Weak–Strong Uniqueness for the Isentropic Compressible Navier–Stokes System
The Generalized Proudman–Johnson Equation Revisited
Journal of Mathematical Fluid Mechanics : Volume 12
Journal of Mathematical Fluid Mechanics : Volume 11
Journal of Mathematical Fluid Mechanics : Volume 10
Journal of Mathematical Fluid Mechanics : Volume 9
Journal of Mathematical Fluid Mechanics : Volume 8
Journal of Mathematical Fluid Mechanics : Volume 7
Journal of Mathematical Fluid Mechanics : Volume 6
Journal of Mathematical Fluid Mechanics : Volume 5
Journal of Mathematical Fluid Mechanics : Volume 4
Journal of Mathematical Fluid Mechanics : Volume 3
Journal of Mathematical Fluid Mechanics : Volume 2
Journal of Mathematical Fluid Mechanics : Volume 1

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Criteria for Floating I

Content Provider SpringerLink
Author Finn, Robert
Copyright Year 2009
Abstract Conditions are determined under which solid bodies will float on a liquid surface in stable equilibrium, under the influence of gravity and of surface tension. These include configurations in which the density of the body exceeds the density of the ambient liquid, so that for an infinitely deep liquid in a downward gravity field there is no absolute energy minimum. Of notable interest are the results (a) that if a smooth body is held rigidly and translated downward into an infinite fluid bath through a family of fluid equilibrium configurations in a downward gravity field, the transition is necessarily discontinuous, and (b) a formal proof that there can be a free-floating locally energy minimizing configuration that does not globally minimize, even if the density of the body exceeds that of the liquid. The present work is limited to the two dimensional case corresponding to a long cylinder that is floating horizontally. The more physical three-dimensional case can be studied in a similar way, although details of behavior can change significantly. That work will appear in an independent study written jointly with T. I. Vogel.
Ending Page 115
Page Count 13
Starting Page 103
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 1
Volume Number 13
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2009-10-02
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword floating bodies Mathematical Methods in Physics Fluid- and Aerodynamics Capillarity surface energy Capillarity (surface tension) Optimization of shapes other than minimal surfaces surface tension Minimal surfaces, surfaces with prescribed mean curvature Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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