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Vertical water entry of disks at low Froude numbers

 

作者: J. W. Glasheen,   T. A. McMahon,  

 

期刊: Physics of Fluids  (AIP Available online 1996)
卷期: Volume 8, issue 8  

页码: 2078-2083

 

ISSN:1070-6631

 

年代: 1996

 

DOI:10.1063/1.869010

 

出版商: AIP

 

数据来源: AIP

 

摘要:

As basilisk lizards (Basiliscusbasiliscus) and shore birds run along the water surface they support their body weight by slapping and stroking into the water with their feet. The foot motions exploit the hydrodynamic forces of low‐speed water entry. To determine the forces that are produced during water entry at low speeds, we measured directly the impact and drag forces for disks dropped into water at low Froude numbers (u2/gr=1–80). Also, we measured the period during which the air cavity behind the disk remains open to atmospheric air. We found that the force impulse produced during the impact phase is due to the acceleration of the virtual mass of fluid associated with a disk at the water surface. A dimensionless virtual massM, defined asM=mvirtual/(4/3)&pgr;&rgr;r3, has a value near 1/&pgr; for disks. After impact, as penetration depth of the disk increases, the drag force can rise by as much as 76% even though the downward velocity is steady. However, a dimensionless force which includes the contribution from hydrostatic pressure [CD*=Drag(t)/(&rgr;Sgh(t)+0.5&rgr;Su2)] takes a constant value near 0.7 regardless of disk size, speed, or cavity depth. Over the entire range of disk sizes and velocities, the period between impact and cavity closure,Tseal, can be described by a single value of dimensionless time, &tgr;=Tseal(g/r)0.5, near 2.3. We con‐ clude that the fundamental phenomena associated with the low‐speed water entry of a disk can be characterized by three dimensionless numbers (M,CD*, and &tgr;). ©1996 American Institute of Physics.

 

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