The lift force on a spherical body in a rotational flow

Auton, T. R.

doi:10.1017/s002211208700260x

Cited by 462 publications

(284 citation statements)

References 5 publications

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“…The bubbles are tracked by solving the following dynamical equation in which their mass is neglected (see, e.g., [13]): in which C A = 1/2 and C L = 1/2 are the added mass and lift coefficients, respectively [14,15]. The drag coefficient is modeled as mentioned in [16,17] as follows:…”

Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Effect of vapor bubbles on velocity fluctuations and dissipation rates in bubbly Rayleigh-Bénard convection

et al. 2011

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. (2011). Effect of vapor bubbles on velocity fluctuations and dissipation rates in bubbly Rayleigh-Bénard convection. Physical Review E, 84(3), 036312-1/7. [036312]. DOI: 10.1103/PhysRevE.84.036312 General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Numerical results for kinetic and thermal energy dissipation rates in bubbly Rayleigh-Bénard convection are reported. Bubbles have a twofold effect on the flow: on the one hand, they absorb or release heat to the surrounding liquid phase, thus tending to decrease the temperature differences responsible for the convective motion; but on the other hand, the absorbed heat causes the bubbles to grow, thus increasing their buoyancy and enhancing turbulence (or, more properly, pseudoturbulence) by generating velocity fluctuations. This enhancement depends on the ratio of the sensible heat to the latent heat of the phase change, given by the Jakob number, which determines the dynamics of the bubble growth.

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Section: Governing Equations and Numerical Methodsmentioning

confidence: 99%

Effect of vapor bubbles on velocity fluctuations and dissipation rates in bubbly Rayleigh-Bénard convection

et al. 2011

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“…Auton (1987) showed that (for incompressible/inviscid fluid) the acceleration experienced by the particle is proportional to the velocity gradient du/dy and the slip velocity, the latter being a function of the particle size. Larger particles have a longer response time and will experience larger slip velocities.…”

Section: Particle Image Velocimetrymentioning

confidence: 99%

High-resolution PIV measurements of a transitional shock wave–boundary layer interaction

2015

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“…In the sediment transport literature, except, notably, the paper by Madsen [1991], this term usually has been ambiguously, if not incorrectly, given as dU i /dt. Maxey and Riley [1983] and Auton [1987] have pointed out the importance of distinguishing between the derivative following the geometric center of the sediment particle and the derivative following the fluid at the position of the geometric center in the reference flow. Although for low particle Reynolds number R p the error is not large, for high R p it is substantial [Maxey and Riley, 1983;Mei et al, 1991].…”

Section: A1 Equation Of Motionmentioning

confidence: 99%

Forces on stationary particles in near‐bed turbulent flows

Schmeeckle¹,

Nelson²,

Shreve³

2007

J. Geophys. Res.

208

272

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[1] In natural flows, bed sediment particles are entrained and moved by the fluctuating forces, such as lift and drag, exerted by the overlying flow on the particles. To develop a better understanding of these forces and the relation of the forces to the local flow, the downstream and vertical components of force on near-bed fixed particles and of fluid velocity above or in front of them were measured synchronously at turbulence-resolving frequencies (200 or 500 Hz) in a laboratory flume. Measurements were made for a spherical test particle fixed at various heights above a smooth bed, above a smooth bed downstream of a downstream-facing step, and in a gravel bed of similarly sized particles as well as for a cubical test particle and 7 natural particles above a smooth bed. Horizontal force was well correlated with downstream velocity and not correlated with vertical velocity or vertical momentum flux. The standard drag formula worked well to predict the horizontal force, but the required value of the drag coefficient was significantly higher than generally used to model bed load motion. For the spheres, cubes, and natural particles, average drag coefficients were found to be 0.76, 1.36, and 0.91, respectively. For comparison, the drag coefficient for a sphere settling in still water at similar particle Reynolds numbers is only about 0.4. The variability of the horizontal force relative to its mean was strongly increased by the presence of the step and the gravel bed. Peak deviations were about 30% of the mean force for the sphere over the smooth bed, about twice the mean with the step, and 4 times it for the sphere protruding roughly half its diameter above the gravel bed. Vertical force correlated poorly with downstream velocity, vertical velocity, and vertical momentum flux whether measured over or ahead of the test particle. Typical formulas for shear-induced lift based on Bernoulli's principle poorly predict the vertical forces on near-bed particles. The measurements suggest that particlescale pressure variations associated with turbulence are significant in the particle momentum balance.

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The lift force on a spherical body in a rotational flow

Cited by 462 publications

References 5 publications

Effect of vapor bubbles on velocity fluctuations and dissipation rates in bubbly Rayleigh-Bénard convection

Effect of vapor bubbles on velocity fluctuations and dissipation rates in bubbly Rayleigh-Bénard convection

High-resolution PIV measurements of a transitional shock wave–boundary layer interaction

Forces on stationary particles in near‐bed turbulent flows

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