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Magnus effect in saltation

Published online by Cambridge University Press:  12 April 2006

Bruce R. White  and
Jan C. Schulz
Bruce R. White
Affiliation:
Department of Mechanical Engineering, University of California, Davis
Jan C. Schulz
Affiliation:
Department of Mechanical Engineering, University of California, Davis Present address: Detonation Physics Department, Naval Weapons Laboratory, China Lake, California 93555.
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Abstract

High-speed motion pictures (2000 frames/s) of saltating spherical glass microbeads (of diameter 350–710 μm and density 2·5 g/cm3) were taken in an environmental wind tunnel to simulate the planetary boundary layer. Analysis of the experimental particle trajectories show the presence of a substantial lifting force in the intermediate stages of the trajectories. Numerical integration of the equations of motion including a Magnus lifting force produced good agreement with experiment. Typical spin rates were of the order of several hundred revolutions per second and some limited experimental proof of this is presented. Average values and frequency distributions for liftoff and impact angles are also presented. The average lift-off and impact angles for the experiments were 50° and 14° respectively. A semi-empirical procedure for determining the average trajectory associated with given conditions is developed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 81 , Issue 3 , 13 July 1977 , pp. 497 - 512
Copyright
© 1977 Cambridge University Press

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References

Allen, J. R. L. 1970 Physical Process of Sedimentation: an Introduction. George Allen & Unwin.
Andres, R. M. 1970 The mechanics of dust lifting with particular emphasis on the planet Mars. Ph.D. dissertation, Library, St Louis University, St Louis, Missouri.
Bagnold, R. A. 1941 The Physics of Blown Sand and Desert Dunes. Methuen.
Bagnold, R. A. 1973 The nature of saltation and of ‘bedload’ transport in water. Proc. Roy. Soc. A 332, 473–504.Google Scholar
Chepil, W. S. 1945 Dynamics of wind erosion. I. Nature of movement of soil by wind. Soil Sci. 60, 305–320.Google Scholar
Chepil, W. S. 1958 The use of evenly spaced hemispheres to evaluate aerodynamic forces on a soil surface. Trans. Am. Geophys. Un. 39, 397–403.Google Scholar
Einstein, H. A. & El-Samni, E. 1949 Hydrodynamic forces on a rough wall. Rev. Mod. Phys. 21, 520–524.Google Scholar
Ellwood, J. M., Evans, P. D. & Wilson, I. G. 1975 Small scale Aeolian bedforms. J. Sediment. Petrol. 45, 554–561.Google Scholar
Francis, J. R. D. 1973 Experiments on the motion of solitary grains along the bed of a water-stream. Proc. Roy. Soc. A 332, 443–471.Google Scholar
Gilbert, G. K. 1914 Transportation of débris by running water. Department of the Interior, United States Geological Survey, Professional Paper no. 86, Washington, D.C. Government Printing Office.
Iversen, J. D., Pollack, J. B., Greeley, R. & White, B. R. 1976 Saltation threshold on Mars; the effect of interparticle force, surface roughness, and low atmospheric density. Icarus 29, 381–393.Google Scholar
Monin, A. S. & Yaglom, A. M. 1965 Statistical Fluid Mechanics: Mechanics of Turbulence, vol. 1, pp. 272–289. M.I.T. Press.
Morsi, S. A. & Alexander, A. J. 1972 An investigation of partiele trajectories in two-phase flow systems. J. Fluid Mech. 55, 193–208.Google Scholar
Rubinow, S. & Keller, J. 1961 The transverse force on a spinning sphere moving in a viscous fluid. J. Fluid Mech. 11, 447–459.Google Scholar
Torobin, L. B. & Gauvin, W. H. 1959 Fundamental aspects of solid — gas flow. Can. J. Chem. Engng 37, 129–141, 167–176, 224–276.Google Scholar
Torobin, L. B. & Gauvin, W. H. 1960 Fundamental aspects of solid — gas flow. Can. J. Chem. Engng 38, 142–153, 189–200.Google Scholar
Tsuchiya, Y. 1970 On the mechanics of saltation of a spherical sand particle in a turbulent stream. Kyoto Univ., Disaster Prev. Res. Inst., Bull. 19, (5), 52–57.Google Scholar
White, B. R. 1975 Particle trajectories of saltating grains in terrestrial and Martian atmospheres. Ph.D. dissertation, Iowa State University, Ames.
White, B. R., Greeley, R., Iversen, J. D. & Pollack, J. B. 1976 Estimated grain saltation in a Martian atmosphere. J. Geophys. Res. 81, 5643–5650.Google Scholar
Zingg, A. W. 1953 Wind tunnel studies of the movement of sedimentary material. Proc. 5th Hydraul. Conf., Bull. 24, Univ. Iowa Studies in Engng, pp. 111–135.