scholarly journals Unsteady forces on spheres during free-surface water entry

2012 ◽  
Vol 704 ◽  
pp. 173-210 ◽  
Author(s):  
Tadd T. Truscott ◽  
Brenden P. Epps ◽  
Alexandra H. Techet
Keyword(s):  
Free Surface ◽  
Surface Water ◽  
High Speed ◽  
Accurate Determination ◽  
Water Entry ◽  
High Speed Imaging ◽  
Air Cavity ◽  
Unsteady Forces ◽  
Unsteady Force ◽  
Low Mass

AbstractWe present a study of the forces during free-surface water entry of spheres of varying masses, diameters, and surface treatments. Previous studies have shown that the formation of a subsurface air cavity by a falling sphere is conditional upon impact speed and surface treatment. This study focuses on the forces experienced by the sphere in both cavity-forming and non-cavity-forming cases. Unsteady force estimates require accurate determination of the deceleration for both high and low mass ratios, especially as inertial and hydrodynamic effects approach equality. Using high-speed imaging, high-speed particle image velocimetry, and numerical simulation, we examine the nature of the forces in each case. The effect of mass ratio is shown, where a lighter sphere undergoes larger decelerations and more dramatic trajectory changes. In the non-cavity-forming cases, the forces are modulated by the growth and shedding of a strong, ring-like vortex structure. In the cavity-forming cases, little vorticity is shed by the sphere, and the forces are modulated by the unsteady pressure required for the opening and closing of the air cavity. A data-driven boundary-element-type method is developed to accurately describe the unsteady forces using cavity shape data from experiments.

Numerical Investigation of Air Cavity Formation During the High-Speed Vertical Water Entry of Wedges

2013 ◽  
Vol 135 (1) ◽  
Author(s):  
Jingbo Wang ◽  
Odd M. Faltinsen
Keyword(s):  
Free Surface ◽  
High Speed ◽  
Nonlinear Boundary ◽  
Water Entry ◽  
Similarity Solutions ◽  
Free Surface Flows ◽  
Cavity Formation ◽  
Air Cavity ◽  
Numerical Instabilities ◽  
Entry Velocity

In this paper, a nonlinear boundary element method (BEM) is developed for investigating air cavity formation during the high-speed water entry of wedges. A technique is proposed for dynamic re-gridding of free surface boundaries. This technique applies to both equally and nonequally spaced grids, and it is able to suppress the numerical instabilities encountered using a BEM for simulating free surface flows. The authors also develop a purely numerical method to simulate nonviscous flow separation, which occurs when the flow reaches the knuckle of the wedge. The present nonlinear BEM has been verified by comparisons with similarity solutions. We also compare numerical results with experimental results. Finally, we give a numerical prediction of the evolution of the cavity until the closure of the cavity, and the influence of the initial entry velocity, wedge mass, and deadrise angle on the characteristics of the transient cavities is investigated.

Numerical Investigation for Air Cavity Formation During the High Speed Water Entry of Wedges

2010 ◽  
Author(s):  
Jingbo Wang ◽  
Odd M. Faltinsen
Keyword(s):  
Free Surface ◽  
Boundary Element ◽  
High Speed ◽  
Surface Profile ◽  
Water Entry ◽  
Similarity Solutions ◽  
Surface Flow ◽  
Boundary Element Methods ◽  
Cavity Formation ◽  
Air Cavity

In this paper, a nonlinear boundary element method is developed for investigating the air cavity formation during the high speed water entry of wedges. A novel technique is introduced to remove the saw-tooth instability of the free surface profile, which is often encountered in solving violent free surface flow problems by boundary element methods. This technique applies to both the equally spaced grids and the non-equally spaced grids, and is demonstrated to be quite efficient and practical by numerical simulations. When the flow reaches the knuckle of the wedge, separation will occur. The authors develop a purely numerical method to simulate the non-viscous flow separation. This nonlinear BEM has been verified by comparisons with similarity solutions. We also compare the numerical results with experimental results.

scholarly journals The Hydrodynamics of High Diving

Proceedings ◽  
2020 ◽  
Vol 49 (1) ◽  
pp. 73
Author(s):  
Thibault Guillet ◽  
Mélanie Mouchet ◽  
Jérémy Belayachi ◽  
Sarah Fay ◽  
David Colturi ◽  
...  
Keyword(s):  
Water Surface ◽  
High Speed ◽  
Water Entry ◽  
Air Cavity ◽  
Initial Height

Diving consists of jumping into water from a platform, usually while performing acrobatics. During high diving competitions, the initial height reaches 27 m. From this height, the crossing of the water surface occurs at 85 km/h, and as such it is very technical to avoid injuries. Major risks occur due to the violent impact at the water entry and the formation and collapse of the air cavity around the diver. In this study, we investigate experimentally the dynamics of the jumper underwater and the hydrodynamic causes of injuries in high dives by monitoring dives from different heights with high-speed cameras and accelerometers in order to understand the physics underlying diving.

In Situ Analysis of Deformation Mechanics of Constrained Cutting Towards Enhanced Material Removal

2019 ◽  
Author(s):  
Yang Guo ◽  
Jisheng Chen ◽  
Amr Saleh
Keyword(s):  
Free Surface ◽  
Surface Finish ◽  
Simple Shear ◽  
Chip Formation ◽  
Material Removal ◽  
High Speed ◽  
Image Correlation ◽  
High Speed Imaging ◽  
Deformation Mechanics

Abstract Chip formation in conventional cutting occurs by deformation that is only partially bounded by the cutting tool. The unconstrained free surface is a complication in determining the deformation of chip formation. The constrained cutting employs a constraining tool in the cutting process to confine the otherwise free surface and enable direct control of the chip formation deformation. A study has been made on the deformation mechanics of plane-strain constrained cutting using high speed imaging and digital image correlation (DIC) methods. For different constrained levels (including unconstrained free cutting), material flow of chip formation is directly observed; strain rate and strain in the chip as well as the subsurface region are quantified; cutting forces are measured; and surface finish are examed. The study shows that chip formation in constrained cutting can occur in two different deformation modes, i.e., simple shear and complex extrusion, depending on the constrained level. Constrained cutting in simple shear regime can reduce strain, reduce cutting force and energy, and improve surface finish compared to free cutting, therefore it is more efficient for material removal than free cutting. Constrained cutting in the complex extrusion regime imposes a significant amount of surface / subsurface deformation and consumes a very high cutting energy, and therefore is not suitable for material removal. Furthermore, the mechanics of chip formation in both free cutting and constrained cutting, especially the roles played by the free surface and the constraining tool, are discussed.

The water entry of a sphere in a jet

2019 ◽  
Vol 863 ◽  
pp. 956-968 ◽  
Author(s):  
Nathan B. Speirs ◽  
Jesse Belden ◽  
Zhao Pan ◽  
Sean Holekamp ◽  
George Badlissi ◽  
...  
Keyword(s):  
Structural Damage ◽  
High Speed ◽  
Early Time ◽  
Water Entry ◽  
Rigid Sphere ◽  
High Speed Imaging ◽  
Near Surface ◽  
Image Velocimetry ◽  
Surface Particle ◽  
Force Reduction

The forces on an object impacting the water are extreme in the early moments of water entry and can cause structural damage to biological and man-made bodies alike. These early-time forces arise largely from added mass, peaking when the submergence is much less than one body length. We experimentally investigate a means of reducing impact forces on a rigid sphere by placing the sphere inside a jet of water so that the jet strikes the quiescent water surface prior to entry of the sphere into the pool. The water jet accelerates the pool liquid and forms a cavity into which a sphere falls. Through on-board accelerometer measurements and high-speed imaging, we quantify the force reduction compared to the case of a sphere entering a quiescent pool. Finally, we find the emergence of a critical jet volume required to maximize force reduction; the critical volume is rationalized using scaling arguments informed by near-surface particle image velocimetry (PIV) data.

The Hydrodynamics Laboratory at the California Institute of Technology—1976

1976 ◽  
Vol 98 (4) ◽  
pp. 740-748 ◽  
Author(s):  
Thomas M. Ward
Keyword(s):  
Free Surface ◽  
Surface Water ◽  
High Speed ◽  
California Institute ◽  
Operating Characteristics ◽  
California Institute Of Technology ◽  
New Instrumentation ◽  
Institute Of Technology ◽  
Research Facilities

The High Speed and Free Surface Water Tunnels are the principal research facilities of the Hydrodynamics Laboratory at the California Institute of Technology. Significant changes have been made to these facilities since their erection in 1945. This paper presents a description of these facilities, and their operating characteristics, as they exist today. Recent projects, new instrumentation, and support facilities are also described.

Optical Observation of the Supercavitation Induced by High-Speed Water Entry

2000 ◽  
Vol 122 (4) ◽  
pp. 806-810 ◽  
Author(s):  
Hong-Hui Shi ◽  
Motoyuki Itoh ◽  
Takuya Takami
Keyword(s):  
Experimental Investigation ◽  
Free Surface ◽  
Shock Waves ◽  
High Speed ◽  
Bubbly Flow ◽  
Water Entry ◽  
Gas Pressure ◽  
Optical Observation ◽  
Water Tank ◽  
Experimental Facility

When a high-speed projectile penetrates into water, a cavity is formed behind the projectile. The gas enclosed in the cavity experiences a nonequilibrium process, i.e., the gas pressure decreases as the projectile moves more deeply into water. As a result, the cavity is sealed near the free surface (surface closure) and subsequently the cavity breaks up in water (deep closure). Accompanying the break-up of the cavity, secondary shock waves appear. This is the so-called supercavitation in water entry. This paper describes an experimental investigation into the water entry phenomenon. Projectiles of 342 m/s were generated from a small-bore rifle that was fixed vertically in the experimental facility. The projectiles were fired into a windowed water tank. A shadowgraph optical observation was performed to observe the entry process of the projectile and the formation and collapse of the cavity behind the projectile. A number of interesting observations relating to the motion of the free surface, the splash, the underwater bubbly flow and so on were found. [S0098-2202(00)00204-2]

scholarly journals Water entry of deformable spheres

2017 ◽  
Vol 824 ◽  
pp. 912-930 ◽  
Author(s):  
Randy C. Hurd ◽  
Jesse Belden ◽  
Michael A. Jandron ◽  
D. Tate Fanning ◽  
Allan F. Bower ◽  
...  
Keyword(s):  
Material Properties ◽  
High Speed ◽  
Large Scale ◽  
Hydrodynamic Pressure ◽  
Oscillation Period ◽  
Water Entry ◽  
Effective Diameter ◽  
High Speed Imaging ◽  
Rigid Spheres ◽  
Velocity Change

When a rigid body collides with a liquid surface with sufficient velocity, it creates a splash curtain above the surface and entrains air behind the sphere, creating a cavity below the surface. While cavity dynamics has been studied for over a century, this work focuses on the water entry characteristics of deformable elastomeric spheres, which has not been studied. Upon free surface impact, an elastomeric sphere deforms significantly, giving rise to large-scale material oscillations within the sphere resulting in unique nested cavities. We study these phenomena experimentally with high-speed imaging and image processing techniques. The water entry behaviour of deformable spheres differs from rigid spheres because of the pronounced deformation caused at impact as well as the subsequent material vibration. Our results show that this deformation and vibration can be predicted from material properties and impact conditions. Additionally, by accounting for the sphere deformation in an effective diameter term, we recover previously reported characteristics for time to cavity pinch off and hydrodynamic force coefficients for rigid spheres. Our results also show that velocity change over the first oscillation period scales with the dimensionless ratio of material shear modulus to impact hydrodynamic pressure. Therefore, we are able to describe the water entry characteristics of deformable spheres in terms of material properties and impact conditions.

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