Hydraulic formulae for the added masses of an impermeable sphere moving near a plane wall

Харламов, А. А.; Chára, Zdeněk; Vlasák, Pavel

doi:10.1007/s10665-007-9186-y

Cited by 26 publications

(35 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where the added mass coefficient, C m (∞) = 1/2 for a sphere. However, as the bubble approaches the flat solid surface the effective mass increases due to the presence of the surface and the inertial force has the form: [28][29][30]…”

Section: Inertial (Added Mass) Forcementioning

confidence: 99%

A force balance model for the motion, impact, and bounce of bubbles

et al. 2014

View full text Add to dashboard Cite

A force balance model has been developed to predict the terminal velocity of a submillimetric bubble as its rises in water under buoyancy. The dynamics of repeated collisions and rebounds of the bubble against a horizontal solid surface is modeled quantitatively by including forces due to buoyancy, added mass, drag, and hydrodynamic lubrication-the last arises from the drainage of water trapped in the thin film between the solid surface and the surface of the deformable bubble. The result is a selfcontained, parameter-free model that is capable of giving quantitative agreement with measured trajectories and observed collisions and rebounds against a solid surface as well as the spatio-temporal evolution of the thin film during collision as measured by interferometry.

show abstract

Section: Inertial (Added Mass) Forcementioning

confidence: 99%

A force balance model for the motion, impact, and bounce of bubbles

et al. 2014

View full text Add to dashboard Cite

show abstract

“…This will be done using an energy approach based on potential flow theory. 28 The kinetic energy E K of the system is defined as…”

Section: ■ Introductionmentioning

confidence: 99%

Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces

2015

View full text Add to dashboard Cite

A force balance model for the rise and impact of air bubbles in a liquid against rigid horizontal surfaces that takes into account effects of buoyancy and hydrodynamic drag forces, bubble deformation, inertia of the fluid via an added mass force, and a film force between the bubble and the rigid surface is proposed. Numerical solution of the governing equations for the position and velocity of the center of mass of the bubbles is compared against experimental data taken with ultraclean water. The boundary condition at the air-water interface is taken to be stress free, which is consistent for bubbles in clean water systems. Features that are compared include bubble terminal velocity, bubbles accelerating from rest to terminal speed, and bubbles impacting and bouncing off different solid surfaces for bubbles that have already or are yet to attain terminal speed. Excellent agreement between theory and experiments indicates that the forces included in the model constitute the main physical ingredients to describe the bouncing phenomenon.

show abstract

“…Simulation results, performed in the two cases, are presented in Figure 16. These are compared to the results obtained by Kharlamov [5] and Korotkin [13].…”

Section: Sphere Near a Flat Wallmentioning

confidence: 73%

Added Masses of generic shape bodies interacting with external walls

Carbone

Martinat²,

Farcy

et al. 2019

Aerospace Science and Technology

View full text Add to dashboard Cite

The aim of this paper is to propose an efficient method to evaluate the Added Masses of generic shape bodies in infinite fluid or in the proximity of external walls. The Added Masses (AM) are the result of the inertial reaction of the fluid in response to an accelerated movement of a body immersed in it. The AM effects are more evident when the body density is similar to that of the surrounding fluid, as in the case of airships. In the take-off or landing phases, the proximity to the ground causes an increase in the Added Masses that must be correctly estimated to properly size the airship controls. In our method, the calculation of the Added Masses matrix is carried out by the Boundary Element Method (BEM). To verify the accuracy of the results, the study cases are based on simple shapes, whose Added Masses are well known. The analyses in infinite fluid and in the presence of a flat wall are carried out. Numerical results are compared to the theoretical values found in literature. The calculated Added Masses are intrinsically dependent on the mesh definition and the relative error, referred to the theoretical values, depends on the surface and volume discretization. In the case of interaction between geometries with complex shapes, the influence on the Added Masses is very difficult to predict without a numerical approach. The method proposed gives a good compromise in terms of quality

show abstract

Hydraulic formulae for the added masses of an impermeable sphere moving near a plane wall

Cited by 26 publications

References 17 publications

A force balance model for the motion, impact, and bounce of bubbles

A force balance model for the motion, impact, and bounce of bubbles

Force Balance Model for Bubble Rise, Impact, and Bounce from Solid Surfaces

Added Masses of generic shape bodies interacting with external walls

Contact Info

Product

Resources

About