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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 12
  3. Journal of Mathematical Fluid Mechanics : Volume 12, Issue 3, August 2010
  4. Resolution of d’Alembert’s Paradox
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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 12
Journal of Mathematical Fluid Mechanics : Volume 12, Issue 4, December 2010
Journal of Mathematical Fluid Mechanics : Volume 12, Issue 3, August 2010
Resolution of d’Alembert’s Paradox
Hamiltonian Structure and Dynamics of a Neutrally Buoyant Rigid Sphere Interacting with Thin Vortex Rings
A Viscous Augmented Born–Infeld Model for Magneto hydrodynamic Flows
The Non-Incompressibility on Heat-Conducting Fluids. The Stationary Case
Sharp Inviscid Limit Results under Navier Type Boundary Conditions. An Lp Theory
Optimal Results for the Nonhomogeneous Initial-Boundary Value Problem for the Two-Dimensional Navier–Stokes Equations
Incompressible Fluids in Thin Domains with Navier Friction Boundary Conditions (I)
Journal of Mathematical Fluid Mechanics : Volume 12, Issue 2, May 2010
Journal of Mathematical Fluid Mechanics : Volume 12, Issue 1, March 2010
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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Resolution of d’Alembert’s Paradox

Content Provider SpringerLink
Author Hoffman, Johan Johnson, Claes
Copyright Year 2008
Abstract We propose a resolution of d’Alembert’s Paradox comparing observation of substantial drag/lift in fluids with very small viscosity such as air and water, with the mathematical prediction of zero drag/lift of stationary irrotational solutions of the incompressible inviscid Euler equations, referred to as potential flow. We present analytical and computational evidence that (i) potential flow cannot be observed because it is illposed or unstable to perturbations, (ii) computed viscosity solutions of the Euler equations with slip boundary conditions initiated as potential flow, develop into turbulent solutions which are wellposed with respect to drag/lift and which show substantial drag/lift, in accordance with observations.
Ending Page 334
Page Count 14
Starting Page 321
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 3
Volume Number 12
Language English
Publisher Birkhäuser-Verlag
Publisher Date 2008-12-10
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mathematical Methods in Physics wellposed Fluid- and Aerodynamics General Galerkin method separation Euler equations illposed blowup Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods D’Alembert’s Paradox inviscid flow Classical Continuum Physics
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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