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Generalizing prior work of P. W. Anderson and E. R. Huggins, we show that a "detailed Josephson-Anderson relation" holds for drag on a finite body held at rest in a classical incompressible fluid flowing with velocity ${\bf V}.$ The…

Fluid Dynamics · Physics 2021-09-15 Gregory L. Eyink

The connection between the drag and vorticity dynamics for viscous flow over a bluff body is explored using the Josephson-Anderson (J-A) relation for classical fluids. The instantaneous rate of work on the fluid, associated with the drag…

Fluid Dynamics · Physics 2025-07-23 Yifan Du , Tamer A. Zaki

The detailed Josephson-Anderson relation equates instantaneous work by pressure drop over any streamwise segment of a general channel and wall-normal flux of spanwise vorticity spatially integrated over that section. This relation was first…

Fluid Dynamics · Physics 2024-07-02 Samvit Kumar , Gregory Eyink

We study the drag force on objects moving in a Fermi superfluid at velocities on the order of the Landau velocity $v_L$. The expectation has been that $v_L$ is the critical velocity beyond which the drag force starts to increase towards its…

Superconductivity · Physics 2018-10-24 J. A. Kuorelahti , S. M. Laine , E. V. Thuneberg

A generalized physics-based expression for the drag coefficient of spherical particles moving in a fluid is derived. The proposed correlation incorporates essential rarefied physics, low-speed hydrodynamics, and shock-wave physics to…

Here we report the results of an experimental study where we measure the hydrodynamic force acting on a plate which is lifted from a water surface, suddently starting to move upwards with an acceleration much larger than gravity. Our work…

The dynamics of particles attached to an interface separating two immiscible fluids are encountered in a wide variety of applications. Here we present a combined asymptotic and numerical investigation of the fluid motion past spherical…

Fluid Dynamics · Physics 2022-07-11 Zhi Zhou , Petia M. Vlahovska , Michael J. Miksis

In this paper we consider modifications to Darcy's equation wherein the drag coefficient is a function of pressure, which is a realistic model for technological applications like enhanced oil recovery and geological carbon sequestration. We…

Numerical Analysis · Computer Science 2010-04-12 K. B. Nakshatrala , K. R. Rajagopal

We demonstrate that superflow past an obstacle is possible in a solid phase in the one-dimensional Gross-Pitaevskii equation with a finite-range two-body interaction. The phenomenon we find is analogous to the DC Josephson effect in…

Quantum Gases · Physics 2011-10-12 M. Kunimi , Y. Nagai , Y. Kato

The one-dimensional Bose gas is an unusual superfluid. In contrast to higher spatial dimensions, the existence of non-classical rotational inertia is not directly linked to the dissipationless motion of infinitesimal impurities. Recently,…

Quantum Gases · Physics 2012-11-16 Alexander Yu. Cherny , Jean-Sebastien Caux , Joachim Brand

The Josephson-Anderson relation, valid for the incompressible Navier-Stokes solutions which describe flow around a solid body, instantaneously equates the power dissipated by drag to the flux of vorticity across the flow lines of the…

Mathematical Physics · Physics 2022-07-05 Hao Quan , Gregory L. Eyink

Solution of a problem on the interaction mechanics of a free liquid jet with a flat plate, body and with other jet has been achieved by means of a graphic-analytical method, developed by author of the given article. This method has allowed…

Fluid Dynamics · Physics 2008-01-29 S. L. Arsenjev

Recent developments of the Josephson plasma resonance and transport c-axis measurements in layered high T$_{c}$ superconductors allow to probe Josephson coupling in a wide range of the vortex phase diagram. We derive a relation between the…

Superconductivity · Physics 2009-10-31 A. E. Koshelev , L. N. Bulaevskii , M. P. Maley

We investigate the drag forces acting on large objects moving through a granular packing immersed in water. In this aim, we conducted uplift experiments involving pulling out horizontal plates at a prescribed velocity vertically. During…

Soft Condensed Matter · Physics 2020-04-28 Tanvir Hossain , Pierre Rognon

A three-dimensional mathematical model of a viscous incompressible fluid with two stiff particles is investigated in the near-contact regime. When one of the particles approaches the other motionless particle with prescribed translational…

Analysis of PDEs · Mathematics 2022-06-23 Zhiwen Zhao

A potential theory is presented for the problem of two moving cylinders, with possibly different radii, large motions, immersed in an perfect stagnant fluid. We show that the fluid force is the superposition of an added mass term, related…

Fluid Dynamics · Physics 2021-01-27 Romain Lagrange , Xavier Delaune , Philippe Piteau , Laurent Borsoi , Jose Antunes

An alternative approach to the derivation of the force on a vortex based in an adiabatic approximation in the action of the superfluid system is developed. Assuming that the vortex motion is relatively slow compared with the characteristic…

Condensed Matter · Physics 2007-05-23 C. Wexler , D. J. Thouless

The motion of several plates in an inviscid and incompressible fluid is studied numerically using a vortex sheet model. Two to four plates are initially placed in-line, separated by a specified distance, and actuated in the vertical…

Fluid Dynamics · Physics 2026-05-19 Monika Nitsche , Anand U. Oza , Michael Siegel

This fluid dynamics video shows three-dimensional vortex formation process for plates in impulsive motion which is investigated experimentally by using defocusing digital particle image velocimetry (DDPIV). Rigid and flexible plate cases…

Fluid Dynamics · Physics 2008-10-14 Daegyoum Kim , Morteza Gharib

A Stokes experiment for foams is proposed. It consists in a two-dimensional flow of a foam, confined between a water subphase and a top plate, around a fixed circular obstacle. We present systematic measurements of the drag exerted by the…

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