Saffman, Phillip G.

Combined from CaltechAUTHORS

• Hill, D. J. and Saffman, P. G. (2002) Counter-rotating vortex patches in shear: a model of the effect of wind shear on aircraft trailing vortices; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 458; No. 2023; 1527-1553; 10.1098/rspa.2001.0909
• Pullin, D. I. and Saffman, P. G. (1998) Vortex dynamics in turbulence; Annual Review of Fluid Mechanics; Vol. 30; 31-51; 10.1146/annurev.fluid.30.1.31
• Saffman, P. G. (1997) Vortex models of isotropic turbulence; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 355; No. 1731; 1949-1956; 10.1098/rsta.1997.0097
• Saffman, P. G. and Pullin, D. I. (1996) Calculation of velocity structure functions for vortex models of isotropic turbulence; Physics of Fluids; Vol. 8; No. 11; 3072-3084; 10.1063/1.869081
• Buntine, J. D. and Saffman, P. G. (1995) Inviscid Swirling Flows and Vortex Breakdown; Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences; Vol. 449; No. 1935; 139-153
• Pullin, D. I. and Saffman, P. G. (1995) Vortex models of the fine scales of turbulence; ISBN 978-3-540-60486-0; Small-Scale Structures in Three-Dimensional Hydrodynamic and Magnetohydrodynamic Turbulence; 61-74; 10.1007/BFb0102400
• Pullin, D. I. and Buntine, James D., et el. (1994) On the spectrum of a stretched spiral vortex; Physics of Fluids; Vol. 6; No. 9; 3010-3027; 10.1063/1.868127
• Pullin, D. I. and Saffman, P. G. (1994) Reynolds stresses and one-dimensional spectra for a vortex model of homogeneous anisotropic turbulence; Physics of Fluids; Vol. 6; No. 5; 1787-1796; 10.1063/1.868240
• Saffman, P. G. and Pullin, D. I. (1994) Anisotropy of the Lundgren–Townsend model of fine-scale turbulence; Physics of Fluids; Vol. 6; No. 2; 802-807; 10.1063/1.868318
• Pullin, D. I. and Saffman, P. G. (1993) On the Lundgren–Townsend model of turbulent fine scales; Physics of Fluids A; Vol. 5; No. 1; 126-145; 10.1063/1.858798
• Saffman, P. G. (1993) Effect of wind and water shear on wave instabilities; ISBN 978-0-444-88889-1; Theoretical and Applied Mechanics 1992; 133-143; 10.1016/B978-0-444-88889-1.50015-7
• Saffman, P. G. (1993) Vortex Dynamics; ISBN 9780511624063; 10.1017/CBO9780511624063
• Caponi, E. A. and Caponi, M. Z., et el. (1992) A Simple Model for the Effect of Water Shear on the Generation of Waves by Wind; Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences; Vol. 438; No. 1902; 95-101
• Morland, L. C. and Saffman, P. G., et el. (1991) Waves Generated by Shear Layer Instabilities; Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences; Vol. 433; No. 1888; 441-450
• Saffman, P. G. (1991) Approach of a vortex pair to a rigid free surface in viscous fluid; Physics of Fluids A; Vol. 3; No. 5; 984-985; 10.1063/1.857976
• Pullin, D. I. and Saffman, P. G. (1991) Long-Time Symplectic Integration: The Example of Four-Vortex Motion; Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences; Vol. 432; No. 1886; 481-494
• Caponp, E. A. and Yuen, H. C., et el. (1991) Water-wave instability induced by a drift layer; Journal of Fluid Mechanics; Vol. 222; No. 1; 207-213; 10.1017/s0022112091001064
• Milinazzo, F. A. and Saffman, P. G. (1990) Effect of a surface shear layer on gravity and gravity–capillary waves of permanent form; Journal of Fluid Mechanics; Vol. 216; 93-101; 10.1017/S0022112090000350
• Saffman, P. G. (1990) A model of vortex reconnection; Journal of Fluid Mechanics; Vol. 212; 395-402; 10.1017/S0022112090002026
• Saffman, P. G. (1990) Bubbles and Fingers in Hele-Shaw Cells; ISBN 9781461280132; Nonlinear Structures in Physical Systems; 3-10; 10.1007/978-1-4612-3440-1_1
• Saffman, P. G. and Meiron, D. I. (1989) Kinetic energy generated by the incompressible Richtmyer–Meshkov instability in a continuously stratified fluid; Physics of Fluids A; Vol. 1; No. 11; 1767-1771; 10.1063/1.857503
• Saffman, P. G. and Tanveer, S. (1989) Prediction of bubble velocity in a Hele–Shaw cell: Thin film and contact angle effects; Physics of Fluids A; Vol. 1; No. 2; 219-223; 10.1063/1.857492
• Tanveer, S. and Saffman, P. G. (1988) The effect of nonzero viscosity ratio on the stability of fingers and bubbles in a Hele–Shaw cell; Physics of Fluids; Vol. 31; No. 11; 3188-3198; 10.1063/1.866930
• Pugh, J. D. and Saffman, P. G. (1988) Two-dimensional superharmonic stability of finite-amplitude waves in plane Poiseuille flow; Journal of Fluid Mechanics; Vol. 194; No. 1; 295-307; 10.1017/S002211208800299X
• Moore, D. W. and Saffman, P. G., et el. (1988) The calculation of some Batchelor flows: The Sadovskii vortex and rotational corner flow; Physics of Fluids; Vol. 31; No. 5; 978-990; 10.1063/1.866718
• McLean, J. W. and Saffman, P. G. (1988) The effect of surface tension on the shape of fingers in a Hele Shaw cell; ISBN 978-0-12-550355-6; Dynamics of Curved Fronts; 175-189; 10.1016/B978-0-08-092523-3.50018-6
• Saffman, P. G. and Taylor, Geoffrey (1988) The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid; ISBN 978-0-12-550355-6; Dynamics of Curved Fronts; 155-174; 10.1016/B978-0-08-092523-3.50017-4
• Saffman, P. G. (1988) Perspectives in vortex dynamics; ISBN 978-3-540-50644-7; Perspectives in Fluid Mechanics; 91-102; 10.1007/BFb0021119
• Tanveer, S. and Saffman, P. G. (1987) Stability of bubbles in a Hele–Shaw cell; Physics of Fluids; Vol. 30; No. 9; 2624-2635; 10.1063/1.866106
• Landman, M. J. and Saffman, P. G. (1987) The three-dimensional instability of strained vortices in a viscous fluid; Physics of Fluids; Vol. 30; No. 8; 2339-2342; 10.1063/1.866124
• Saffman, P. G. (1986) Viscous fingering in Hele-Shaw cells; Journal of Fluid Mechanics; Vol. 173; 73-94; 10.1017/S0022112086001088
• Saffman, P. G. and Meiron, D. I. (1986) Difficulties with three-dimensional weak solutions for inviscid incompressible flow; Physics of Fluids; Vol. 29; No. 8; 2373-2375; 10.1063/1.865529
• MacKay, R. S. and Saffman, P. G. (1986) Stability of Water Waves; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 406; No. 1830; 115-125; 10.1098/rspa.1986.0068
• Chen, Benito and Saffman, P. G. (1986) Stability of capillary waves on deep water; ISBN 9783540172000; Numerical Analysis; 199-207; 10.1007/bfb0072682
• Milinazzo, F. A. and Saffman, P. G. (1985) Finite-amplitude steady waves in plane viscous shear flows; Journal of Fluid Mechanics; Vol. 160; No. 11; 281-295; 10.1017/S0022112085003482
• Saffman, P. G. (1985) The superharmonic instability of finite-amplitude water waves; Journal of Fluid Mechanics; Vol. 159; 169-174; 10.1017/S0022112085003159
• Reinelt, D. A. and Saffman, P. G. (1985) The Penetration of a Finger into a Viscous Fluid in a Channel and Tube; SIAM Journal on Scientific and Statistical Computing; Vol. 6; No. 3; 542-561; 10.1137/0906038
• Saffman, P. G. (1985) Three Dimensional Stability and Bifurcation of Steady Water Waves; ISBN 978-0-444-87707-9; Theoretical and Applied Mechanics; 355-367; 10.1016/B978-0-444-87707-9.50028-2
• Meiron, D. I. and Saffman, P. G., et el. (1984) The linear two-dimensional stability of inviscid vortex streets of finite-cored vortices; Journal of Fluid Mechanics; Vol. 147; 187-212; 10.1017/S0022112084002056
• Saffman, P. G. and Tanveer, S. (1984) Prandtl–Batchelor flow past a flat plate with a forward-facing flap; Journal of Fluid Mechanics; Vol. 143; 351-365; 10.1017/S0022112084001385
• Robinson, A. C. and Saffman, P. G. (1984) Three-dimensional stability of an elliptical vortex in a straining field; Journal of Fluid Mechanics; Vol. 142; 451-466; 10.1017/S002211208400118X
• Meiron, D. I. and Saffman, P. G. (1983) Overhanging interfacial gravity waves of large amplitude; Journal of Fluid Mechanics; Vol. 129; 213-218; 10.1017/S0022112083000737
• Saffman, P. G. (1983) Finite-Amplitude Interfacial Waves; ISBN 978-0-12-493220-3; Waves on Fluid Interfaces; 1-15; 10.1016/B978-0-12-493220-3.50005-2
• Caponi, Enrique A. and Saffman, Philip G., et el. (1982) Instability and confined chaos in a nonlinear dispersive wave system; Physics of Fluids; Vol. 25; No. 12; 2159-2166; 10.1063/1.863707
• Robinson, A. C. and Saffman, P. G. (1982) Three-dimensional stability of vortex arrays; Journal of Fluid Mechanics; Vol. 125; 411-427; 10.1017/S0022112082003413
• Saffman, P. G. and Tanveer, S. (1982) The touching pair of equal and opposite uniform vortices; Physics of Fluids; Vol. 25; No. 11; 1929-1930; 10.1063/1.863679
• Meiron, Daniel I. and Saffman, Phillip G., et el. (1982) Calculation of steady three-dimensional deep-water waves; Journal of Fluid Mechanics; Vol. 124; 109-121; 10.1017/S0022112082002420
• Caponi, E. A. and Fornberg, B., et el. (1982) Calculations of laminar viscous flow over a moving wavy surface; Journal of Fluid Mechanics; Vol. 124; 347-362; 10.1017/s0022112082002535
• Saffman, Philip G. and Yuen, Henry C. (1982) Finite-amplitude interfacial waves in the presence of a current; Journal of Fluid Mechanics; Vol. 123; 459-476; 10.1017/S0022112082003152
• Saffman, P. G. and Schatzman, J. C. (1982) An inviscid model for the vortex-street wake; Journal of Fluid Mechanics; Vol. 122; 467-486; 10.1017/S0022112082002316
• Moore, D. W. and Saffman, P. G. (1982) Finite-Amplitude Waves in Inviscid Shear Flows; Proceedings of the Royal Society A: Mathematical, physical, and engineering sciences; Vol. 382; No. 1783; 389-410; 10.1098/rspa.1982.0108
• Saffman, P. G. and Schatzman, J. C. (1982) Stability of a vortex street of finite vortices; Journal of Fluid Mechanics; Vol. 117; 171-185; 10.1017/S0022112082001578
• Saffman, P. G. (1982) Structure and Stability of Streets of Finite Vortices; ISBN 978-3-528-08536-0; Vortex Motion; 142-156; 10.1007/978-3-663-13883-9_10
• Saffman, P. G. and Schatzman, J. C. (1981) Properties of a Vortex Street of Finite Vortices; SIAM Journal on Scientific and Statistical Computing; Vol. 2; No. 3; 285-295; 10.1137/0902023
• Saffman, P. G. (1981) Dynamics of vorticity; Journal of Fluid Mechanics; Vol. 106; 49-58; 10.1017/S0022112081001511
• McLean, J. W. and Ma, Y. C., et el. (1981) Three-Dimensional Instability of Finite-Amplitude Water Waves; Physical Review Letters; Vol. 46; No. 13; 817-821; 10.1103/PhysRevLett.46.817
• McLean, J. W. and Saffman, P. G. (1981) The effect of surface tension on the shape of fingers in a Hele Shaw cell; Journal of Fluid Mechanics; Vol. 102; 455-469; 10.1017/S0022112081002735
• Saffman, P. G. (1981) Vortex Interactions and Coherent Structures in Turbulence; ISBN 978-0-12-493240-1; Transition and Turbulence; 149-166; 10.1016/B978-0-12-493240-1.50015-6
• Saffman, Philip G. and Yuen, Henry C. (1980) A new type of three-dimensional deep-water wave of permanent form; Journal of Fluid Mechanics; Vol. 101; No. 4; 797-808; 10.1017/S0022112080001930
• Saffman, P. G. and Szeto, R. (1980) Equilibrium shapes of a pair of equal uniform vortices; Physics of Fluids; Vol. 23; No. 12; 2339-2342; 10.1063/1.862935
• Saffman, P. G. (1980) Long wavelength bifurcation of gravity waves on deep water; Journal of Fluid Mechanics; Vol. 101; No. 3; 567-581; 10.1017/S0022112080001802
• Saffman, Philip G. and Yuen, Henry C. (1980) Bifurcation and symmetry breaking in nonlinear dispersive waves; Physical Review Letters; Vol. 44; No. 17; 1097-1100; 10.1103/PhysRevLett.44.1097
• Saffman, Philip G. and Yuen, Henry C. (1979) A note on numerical computations of large amplitude standing waves; Journal of Fluid Mechanics; Vol. 95; No. 4; 707-715; 10.1017/S0022112079001658
• Saffman, P. G. (1979) The approach of a vortex pair to a plane surface in inviscid fluid; Journal of Fluid Mechanics; Vol. 92; No. 3; 497-503; 10.1017/S0022112079000744
• Knight, D. D. and Saffman, P. G. (1979) Reply to the comments of M. S. Uberoi; Physics of Fluids; Vol. 22; No. 1; 199-199; 10.1063/1.862465
• Saffman, P. G. and Baker, G. R. (1979) Vortex interactions; Annual Review of Fluid Mechanics; Vol. 11; 95-122; 10.1146/annurev.fl.11.010179.000523
• Saffman, P. G. and Yuen, Henry C. (1978) Stability of a plane soliton to infinitesimal two-dimensional perturbations; Physics of Fluids; Vol. 21; No. 8; 1450-1451; 10.1063/1.862364
• Saffman, P. G. (1978) The number of waves on unstable vortex rings; Journal of Fluid Mechanics; Vol. 84; No. 4; 635-639; 10.1017/S0022112078000385
• Saffman, P. G. (1977) Dependence of effective slip on wall roughness in dilute polymer solutions; Physics of Fluids; Vol. 20; No. 10, Pa; S272-S275; 10.1063/1.861740
• Baker, G. R. and Saffman, P. G., et el. (1976) Structure of a linear array of hollow vortices of finite cross-section; Journal of Fluid Mechanics; Vol. 74; No. 3; 469-476; 10.1017/S0022112076001894
• Saffman, P. G. (1976) Brownian motion in thin sheets of viscous fluid; Journal of Fluid Mechanics; Vol. 73; No. 4; 593-602; 10.1017/S0022112076001511
• Saffman, P. G. and Delbrück, M. (1975) Brownian motion in biological membranes; Proceedings of the National Academy of Sciences of the United States of America; Vol. 72; No. 8; 3111-3113
• Moore, D. W. and Saffman, P. G. (1975) The density of organized vortices in a turbulent mixing layer; Journal of Fluid Mechanics; Vol. 69; No. 3; 465-473; 10.1017/S0022112075001528
• Goodstein, D. L. and Saffman, P. G. (1975) The theory of nondissipative flow in the helium film; Journal of Low Temperature Physics; Vol. 18; No. 5-6; 435-455; 10.1007/BF00116135
• Baker, G. R. and Barker, S. J., et el. (1974) Laser anemometer measurements of trailing vortices in water; Journal of Fluid Mechanics; Vol. 65; No. 2; 325-336; 10.1017/S0022112074001418
• Goodstein, D. L. and Saffman, P. G. (1974) Thermodynamics of Superflow in the Helium Film; ISBN 9781468478662; Low Temperature Physics-LT 13; 243-246; 10.1007/978-1-4684-7864-8_47
• Saffman, P. G. (1973) Structure of turbulent line vortices; Physics of Fluids; Vol. 16; No. 8; 1181-1188; 10.1063/1.1694496
• Moore, D. W. and Saffman, P. G. (1973) Axial Flow in Laminar Trailing Vortices; Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences; Vol. 333; No. 1595; 491-508; 10.1098/rspa.1973.0075
• Goodstein, D. L. and Saffman, P. G. (1971) The Two Fluid Model of the Helium Film; Proceedings of the Royal Society of London. Series A, Mathematical, Physical and Engineering Sciences; Vol. 325; No. 1563; 447-468
• Saffman, P. G. (1971) On the Spectrum and Decay of Random Two-Dimensional Vorticity Distributions at Large Reynolds Number; Studies in Applied Mathematics; Vol. 50; No. 4; 377-383; 10.1002/sapm1971504377
• Govindaraju, S. P. and Saffman, P. G. (1971) Flow in a Turbulent Trailing Vortex; Physics of Fluids; Vol. 14; No. 10; 2074-2080; 10.1063/1.1693295
• Foster, M. R. and Saffman, P. G. (1970) The drag of a body moving transversely in a confined stratified fluid; Journal of Fluid Mechanics; Vol. 43; No. 2; 407-418; 10.1017/S0022112070002458
• Saffman, P. G. (1970) Dependence on Reynolds number of high-order moments of velocity derivatives in isotropic turbulence; Physics of Fluids; Vol. 13; No. 8; 2193-2194; 10.1063/1.1693217
• Goodstein, D. L. and Saffman, P. G. (1970) Thickness of the flowing superfluid film; Physical Review Letters; Vol. 24; No. 25; 1402-1405; 10.1103/PhysRevLett.24.1402
• Moore, D. W. and Saffman, P. G., et el. (1969) The flow induced by the transverse motion of a thin disk in its own plane through a contained rapidly rotating viscous liquid; Journal of Fluid Mechanics; Vol. 39; No. 4; 831-847; 10.1017/S0022112069002497
• Saffman, P. G. (1969) Application of the Wiener-Hermite Expansion to the Diffusion of a Passive Scalar in a Homogeneous Turbulent Flow; Physics of Fluids; Vol. 12; No. 9; 1786-1798; 10.1063/1.1692743
• Moore, D. W. and Saffman, P. G. (1969) The Structure of Free Vertical Shear Layers in a Rotating Fluid and the Motion Produced by a Slowly Rising Body; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 264; No. 1156; 597-634; 10.1098/rsta.1969.0036
• Saffman, P. G. (1968) Conservation of circulation theorem for superfluids; Physics of Fluids; Vol. 11; No. 12; 2505-2507; 10.1063/1.1691851
• Moore, D. W. and Saffman, P. G. (1968) The rise of a body through a rotating fluid in a container of finite length; Journal of Fluid Mechanics; Vol. 31; No. 4; 635-642; 10.1017/S0022112068000376
• Saffman, P. G. (1967) New Results on the Statistical Properties of the Large Eddies in Homogeneous Turbulence; Physics of Fluids; Vol. 10; No. 9, Par; S301; 10.1063/1.1762473
• Saffman, P. G. (1967) Note on decay of homogeneous turbulence; Physics of Fluids; Vol. 10; No. 6; 1349; 10.1063/1.1762284
• Cole, J. D. and Keller, H. B., et el. (1967) The Flow of a Viscous Compressible Fluid Through a Very Narrow Gap; SIAM Journal on Applied Mathematics; Vol. 15; No. 3; 605-617; 10.1137/0115051
• Saffman, P. G. (1967) The self-propulsion of a deformable body in a perfect fluid; Journal of Fluid Mechanics; Vol. 28; No. 2; 385-389; 10.1017/S0022112067002149
• Saffman, P. G. (1967) The large-scale structure of homogeneous turbulence; Journal of Fluid Mechanics; Vol. 27; No. 3; 581-593; 10.1017/S0022112067000552
• Cordey, J. G. and Saffman, P. G. (1967) The structure of quasi-shocks in a collision-free plasma in a magnetic field; Journal of Plasma Physics; Vol. 1; No. 1; 129-144; 10.1017/S0022377800003147
• Benney, D. J. and Saffman, P. G. (1966) Nonlinear interactions of random waves, in a dispersive medium; Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences; Vol. 289; No. 1418; 301-320; 10.1098/rspa.1966.0013
• Saffman, P. G. (1966) Two-Dimensional Problems in Hydrodynamics and Aerodynamics [Book Review]; Journal of the Franklin Institute; Vol. 281; No. 1; 78-79; 10.1016/0016-0032(66)90076-7
• Saffman, P. G. (1965) The lift on a small sphere in a slow shear flow; Journal of Fluid Mechanics; Vol. 22; No. 2; 385-400; 10.1017/s0022112065000824
• Saffman, P. G. (1964) The amplification of a weak magnetic field by turbulent motion of a fluid of large conductivity; Journal of Fluid Mechanics; Vol. 18; No. 3; 449-465; 10.1017/s0022112064000337
• Moffatt, H. K. and Saffman, P. G. (1964) Comment on "Growth of a weak magnetic field in a turbulent conducting fluid with large magnetic Prandtl number"; Physics of Fluids; Vol. 7; No. 1; 155; 10.1063/1.1711041
• Saffman, P. G. (1963) On the fine-scale structure of vector fields convected by a turbulent fluid; Journal of Fluid Mechanics; Vol. 16; No. 4; 545-572; 10.1017/s0022112063000987
• Saffman, P. G. (1963) An approximate calculation of the Lagrangian auto-correlation coefficient for stationary homogeneous turbulence; Applied Scientific Research; Vol. 11; No. 3; 245-255; 10.1007/bf03184983
• Saffman, P. G. (1962) The effect of wind shear on horizontal spread from an instantaneous ground source; Quarterly Journal of the Royal Meteorological Society; Vol. 88; No. 378; 382-393; 10.1002/qj.49708837803
• Saffman, P. G. (1962) On the stability of laminar flow of a dusty gas; Journal of Fluid Mechanics; Vol. 13; No. 1; 120-128; 10.1017/s0022112062000555
• Saffman, P. G. (1962) The structure of a hydromagnetic front in a cold collision-free plasma; Journal of Fluid Mechanics; Vol. 12; No. 1; 81-87; 10.1017/s002211206200004x
• Saffman, P. G. (1961) On hydromagnetic waves of finite amplitude in a cold plasma; Journal of Fluid Mechanics; Vol. 11; No. 4; 552-566; 10.1017/s002211206100072x
• Saffman, P. G. (1961) Propagation of a solitary wave along a magnetic field in a cold collision-free plasma; Journal of Fluid Mechanics; Vol. 11; No. 1; 16-20; 10.1017/s0022112061000822
• Saffman, P. G. (1960) On the effect of the molecular diffusivity in turbulent diffusion; Journal of Fluid Mechanics; Vol. 8; No. 2; 273-283; 10.1017/s0022112060000591
• Saffman, P. G. (1960) Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries; Journal of Fluid Mechanics; Vol. 7; No. 2; 194-208; 10.1017/s0022112060001432
• Saffman, P. G. (1959) Dispersion in flow through a network of capillaries; Chemical Engineering Science; Vol. 11; No. 2; 125-129; 10.1016/0009-2509(59)80007-5
• Saffman, P. G. (1959) A theory of dispersion in a porous medium; Journal of Fluid Mechanics; Vol. 6; No. 3; 321-349; 10.1017/s0022112059000672
• Saffman, P. G. (1956) On the motion of small spheroidal particles in a viscous liquid; Journal of Fluid Mechanics; Vol. 1; No. 5; 540-553; 10.1017/s0022112056000354
• Saffman, P. G. (1956) On the rise of small air bubbles in water; Journal of Fluid Mechanics; Vol. 1; No. 3; 249-275; 10.1017/s0022112056000159
• Saffman, P. G. and Turner, J. S. (1956) On the collision of drops in turbulent clouds; Journal of Fluid Mechanics; Vol. 1; No. 1; 16-30; 10.1017/s0022112056000020