Stable–streamlined and helical cavities following the impact of Leidenfrost spheres

We gratefully acknowledge support from King Abdullah University of Science and Technology (KAUST), Office of Competitive Research Funds, under grant URF/1/2621-01-01.

[1]  Th. von Kármán,et al.  The impact on seaplane floats during landing , 1929 .

[2]  Louis N. Howard,et al.  Note on a paper of John W. Miles , 1961, Journal of Fluid Mechanics.

[3]  H. Wagner Über Stoß- und Gleitvorgänge an der Oberfläche von Flüssigkeiten , 1932 .

[4]  David Halpern,et al.  Advanced Mathematics and Mechanics Applications Using MATLAB , 1994 .

[5]  Tyson L Hedrick,et al.  Software techniques for two- and three-dimensional kinematic measurements of biological and biomimetic systems , 2008, Bioinspiration & biomimetics.

[6]  Detlef Lohse,et al.  Supersonic air flow due to solid-liquid impact. , 2009, Physical review letters.

[7]  C. Clanet,et al.  Making a splash with water repellency , 2007, cond-mat/0701093.

[8]  Craig Zuhlke,et al.  Extraordinary shifts of the Leidenfrost temperature from multiscale micro/nanostructured surfaces. , 2013, Langmuir : the ACS journal of surfaces and colloids.

[9]  Dongjoo Kim,et al.  Vortical structures behind a sphere at subcritical Reynolds numbers , 2006 .

[10]  S. Goldstein On the Stability of Superposed Streams of Fluids of Different Densities , 1931 .

[11]  H. Sakamoto,et al.  A STUDY ON VORTEX SHEDDING FROM SPHERES IN A UNIFORM FLOW , 1990 .

[12]  Myoungkyu Lee,et al.  Cavity dynamics in high-speed water entry , 1997 .

[13]  A. M. Worthington,et al.  Impact with a Liquid Surface Studied by the Aid of Instantaneous Photography. Paper II , 1900 .

[14]  E. G. Richardson The Impact of a Solid on a Liquid Surface , 1948 .

[15]  V. C. Patel,et al.  Flow past a sphere up to a Reynolds number of 300 , 1999, Journal of Fluid Mechanics.

[16]  S. Thoroddsen,et al.  Crown sealing and buckling instability during water entry of spheres , 2016, Journal of Fluid Mechanics.

[17]  D. Lohse,et al.  High-speed jet formation after solid object impact. , 2008, Physical review letters.

[18]  S. Thoroddsen,et al.  Buckling instability of crown sealing , 2015 .

[19]  G. Taylor Effect of variation in density on the stability of superposed streams of Fluid , 1931 .

[20]  E. Achenbach,et al.  Experiments on the flow past spheres at very high Reynolds numbers , 1972, Journal of Fluid Mechanics.

[21]  D. Gilbarg,et al.  Influence of Atmospheric Pressure on the Phenomena Accompanying the Entry of Spheres into Water , 1948 .

[22]  Torben P. Grumstrup,et al.  Cavity ripples observed during the impact of solid objects into liquids. , 2007, Physical review letters.

[23]  A. May Effect of Surface Condition of a Sphere on Its Water‐Entry Cavity , 1951 .

[24]  Carlos David Pérez Segarra,et al.  Direct numerical simulation of the flow over a sphere at Re = 3700 , 2011, Journal of Fluid Mechanics.

[25]  Neelesh A. Patankar,et al.  Stabilization of Leidenfrost vapour layer by textured superhydrophobic surfaces , 2012, Nature.

[26]  S. Thoroddsen,et al.  Cavity formation by the impact of Leidenfrost spheres , 2012, Journal of Fluid Mechanics.

[27]  G. Constantinescu,et al.  Numerical investigations of flow over a sphere in the subcritical and supercritical regimes , 2004 .

[28]  R. Burley Air entrainment and the limits of coatability , 1992 .

[29]  Isao Nakamura Steady wake behind a sphere , 1976 .

[30]  Christophe Clanet,et al.  Waterbells and Liquid Sheets , 2007 .

[31]  G. M. Corcos,et al.  Vorticity concentration and the dynamics of unstable free shear layers , 1976, Journal of Fluid Mechanics.

[32]  Johann Gottlob Leidenfrost On the fixation of water in diverse fire , 1966 .

[33]  Ronald J. Adrian,et al.  Leidenfrost Dynamics , 2013 .

[34]  D. Lohse,et al.  Drop impact on superheated surfaces. , 2011, Physical review letters.

[35]  Brenden P. Epps,et al.  Unsteady forces on spheres during free-surface water entry , 2012, Journal of Fluid Mechanics.

[36]  S. Taneda Experimental Investigation of the Wake behind a Sphere at Low Reynolds Numbers , 1956 .

[37]  John W. Miles,et al.  On the stability of heterogeneous shear flows , 1961, Journal of Fluid Mechanics.

[38]  Yasuyuki Takata,et al.  Effect of surface wettability on boiling and evaporation , 2005 .

[39]  P. Thomas,et al.  Cavity formation in the wake of falling spheres submerging into a stratified two-layer system of immiscible liquids , 2016, Journal of Fluid Mechanics.

[40]  Philip Hazel Numerical studies of the stability of inviscid stratified shear flows , 1972, Journal of Fluid Mechanics.

[41]  J. D. Berry,et al.  Leidenfrost Vapor Layers Reduce Drag without the Crisis in High Viscosity Liquids. , 2016, Physical review letters.

[42]  J. M. Bush,et al.  The water entry of decelerating spheres , 2009 .

[43]  C. Ramsauer,et al.  Die Bewegungserscheinungen des Wassers beim Durchgang schnell bewegter Kugeln , 1927 .

[44]  Harindra J. S. Fernando,et al.  TURBULENT MIXING IN STRATIFIED FLUIDS , 1991 .

[45]  K Affeld,et al.  Assessment of rowing efficiency. , 1993, International journal of sports medicine.

[46]  T. Etoh,et al.  Impact jetting by a solid sphere , 2004, Journal of Fluid Mechanics.

[47]  Turgut Sarpkaya,et al.  VORTEX SHEDDING AND RESISTANCE IN HARMONIC FLOW ABOUT SMOOTH AND ROUGH CIRCULAR CYLINDERS AT HIGH REYNOLDS NUMBERS , 1976 .

[48]  E. Achenbach,et al.  Vortex shedding from spheres , 1974, Journal of Fluid Mechanics.

[49]  D. Lohse,et al.  Collapse and pinch-off of a non-axisymmetric impact-created air cavity in water , 2011, Journal of Fluid Mechanics.

[50]  D. Chan,et al.  Leidenfrost vapour layer moderation of the drag crisis and trajectories of superhydrophobic and hydrophilic spheres falling in water. , 2014, Soft matter.

[52]  S. J. Board,et al.  Inverse Leidenfrost Phenomenon , 1969, Nature.

[53]  E. Hopfinger,et al.  On mixing across an interface in stably stratified fluid , 1986, Journal of Fluid Mechanics.

[54]  S. Thoroddsen,et al.  Water entry without surface seal: extended cavity formation , 2013, Journal of Fluid Mechanics.

[55]  H. J. Kim,et al.  Observations of the frequencies in a sphere wake and of drag increase by acoustic excitation , 1988 .

[56]  C. Clanet,et al.  Dynamics of transient cavities , 2007, Journal of Fluid Mechanics.

[57]  S. Taneda,et al.  Visual observations of the flow past a sphere at Reynolds numbers between 104 and 106 , 1978, Journal of Fluid Mechanics.

[58]  Brenden P. Epps,et al.  Water Entry of Projectiles , 2014 .

[59]  T. Truscott,et al.  The water entry of slender axisymmetric bodies , 2014 .

[60]  J. M. Bush,et al.  Water entry of small hydrophobic spheres , 2009, Journal of Fluid Mechanics.

[61]  D. Chan,et al.  Drag reduction by Leidenfrost vapor layers. , 2011, Physical review letters.

[62]  J. Chomaz,et al.  The structure of the near wake of a sphere moving horizontally in a stratified fluid , 1993, Journal of Fluid Mechanics.

[63]  Albert May,et al.  Water Entry and the Cavity-Running Behavior of Missiles , 1975 .

[64]  Roy L. Bishop,et al.  Wakes in Liquid‐Liquid Systems , 1961 .

[65]  Noncontinuous froude number scaling for the closure depth of a cylindrical cavity. , 2006, Physical review letters.

[66]  M. Moghisi,et al.  An experimental investigation of the initial force of impact on a sphere striking a liquid surface , 1981, Journal of Fluid Mechanics.

[67]  Oriol Lehmkuhl Barba,et al.  Flow dynamics in the turbulent wake of a sphere at sub-critical Reynolds numbers , 2011 .

[68]  Weishan Chen,et al.  Influence of Geometric Parameters on the Flow Drag of a Streamlined Body of Revolution , 2010, 2010 4th International Conference on Bioinformatics and Biomedical Engineering.

[69]  A. Mallock,et al.  Sounds produced by drops falling on water , 1918 .

[70]  A. May Vertical Entry of Missiles into Water , 1952 .

[71]  Carl de Boor,et al.  A Practical Guide to Splines , 1978, Applied Mathematical Sciences.

[72]  Harindra J. S. Fernando,et al.  Entrainment and mixing in stratified shear flows , 1997, Journal of Fluid Mechanics.

[73]  Christopher E. Brennen,et al.  Cavity surface wave patterns and general appearance , 1970, Journal of Fluid Mechanics.

[74]  W. Peltier,et al.  MIXING EFFICIENCY IN STRATIFIED SHEAR FLOWS , 2003 .

[75]  R. W. Wood A Study of Splashes , 1909 .

[76]  A. M. Worthington,et al.  Impact with a Liquid Surface, Studied by the Aid of Instantaneous Photography , 1897 .

[77]  A. Techet,et al.  Water entry of spinning spheres , 2009, Journal of Fluid Mechanics.

[78]  R. G. Dong Effective mass and damping of submerged structures , 1978 .

[79]  O. Faltinsen,et al.  Water entry of two-dimensional bodies , 1993, Journal of Fluid Mechanics.

[80]  K. Baumeister,et al.  Leidenfrost temperature - Its correlation for liquid metals, cryogens, hydrocarbons, and water. , 1973 .