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Journal ArticleDOI

The lift force on a spherical body in a rotational flow

T. R. Auton
- 01 Oct 1987 - 
- Vol. 183, Iss: -1, pp 199-218
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TLDR
In this article, a sphere is placed in a weak shear flow of an inviscid fluid and the secondary velocity resulting from advection of vorticity by the irrotational component of the flow is computed on the sphere surface, and on the upstream axis.
Abstract
This paper concerns the flow about a sphere placed in a weak shear flow of an inviscid fluid. The secondary velocity resulting from advection of vorticity by the irrotational component of the flow is computed on the sphere surface, and on the upstream axis. The resulting lift force on the sphere is evaluated, and the result is confirmed by an analytical far-field calculation. The displacement of the stagnation streamline, far upstream of the sphere, is calculated more accurately than in previous papers.

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Dissertation

Computational fluid dynamics of dispersed two-phase flows at high phase fractions

Henrik Rusche
TL;DR: In this paper, the authors describe the development and validation of Computational Fluid Dynamics (CFD) methodology for the simulation of dispersed two-phase flows, which employs averaged mass and momentum conservation equations to describe the time-dependent motion of both phases.
Journal ArticleDOI

Transverse migration of single bubbles in simple shear flows

TL;DR: In this article, trajectories of single air bubbles in simple shear flows of glycerol-water solution were measured to evaluate transverse lift force acting on single bubbles, and the authors concluded that the critical bubble diameter causing the radial void profile transition from wall peaking to core peaking in an air-water bubbly flow evaluated by the proposed CT correlation coincided with available experimental data.
Journal ArticleDOI

The Motion of High-Reynolds-Number Bubbles in Inhomogeneous Flows

TL;DR: In this article, a trident approach consisting of experimental, analytical, and numerical work has given a clearer description of the hydrodynamic forces experienced by isolated bubbles moving either in inviscid flows or in slightly viscous laminar flows, and a significant part of the paper is devoted to a discussion of drag, added mass force, and shear-induced lift experienced by spheroidal bubbles moving in inertially dominated, time-dependent, rotational, nonuniform flows.
Journal ArticleDOI

Bubble Formation and Bubble Rise Velocity in Gas−Liquid Systems: A Review

Abstract: The formation of gas bubbles and their subsequent rise due to buoyancy are very important fundamental phenomena that contribute significantly to the hydrodynamics in gas−liquid reactors. The rise o...
Journal ArticleDOI

The force exerted on a body in inviscid unsteady non-uniform rotational flow

TL;DR: In this article, a general expression for the fluid force on a simple shape moving with a velocity v through inviscid fluid in which there is an unsteady non-uniform rotational velocity field uo(x,t) in two or three dimensions is derived.
References
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Journal ArticleDOI

Note on hydrodynamics

TL;DR: In this paper, the actual trajectories of fluid particles in certain motions of classical hydrodynamics are studied and integrals which are not absolutely convergent are discussed in relation to the general mechanics of fluids.
Journal ArticleDOI

The Forces on a Body Placed in a Curved or Converging Stream of Fluid

TL;DR: In this article, it was shown that the measured resistance of an airship model is approximately correct from the point of view of hydrodynamical theory, and the primary object of the present work was to find out how far it is justified from the perspective of aeronautics.
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Note on added mass and drift

TL;DR: Several points of interpretation bearing on the celebrated discovery by Darwin (1953) that the added mass for a body translating uniformly in an infinite expanse of perfect fluid equals the drift-volume times the density of the fluid as discussed by the authors.
Journal ArticleDOI

Contributions to the theory of the Pitot-tube displacement effect

TL;DR: In this paper, the Biot-Savart law is used to determine the secondary flow field by integration for the downwash of the primary flow along the dividing streamline of a sphere.
Journal ArticleDOI

The image system of a vortex element in a rigid sphere

TL;DR: In this paper, it was shown that a vortex element has the following image system in a rigid sphere immersed in incompressible fluid: (i) a transverse vortex element at the inverse point, equal in strength to minus the transverse resultant of the given vortex element, divided by the ratio of its distance from the centre to the radius of the sphere.
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