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Dynamic compression of highly compressible porous media with application to snow compaction

Published online by Cambridge University Press:  25 October 2005

Q. WU ,
Y. ANDREOPOULOS ,
S. XANTHOS  and
S. WEINBAUM
Q. WU
Affiliation:
Departments of Biomedical and Mechanical Engineering and New York Center for Biomedical Engineering, The City College of the City University of New York, New York, NY 10031, USA Current address: Department of Mechanical Engineering, Villanova University, 800 Lancaster Ave, Villanova, PA 19085, USA.
Y. ANDREOPOULOS
Affiliation:
Departments of Biomedical and Mechanical Engineering and New York Center for Biomedical Engineering, The City College of the City University of New York, New York, NY 10031, USA
S. XANTHOS
Affiliation:
Departments of Biomedical and Mechanical Engineering and New York Center for Biomedical Engineering, The City College of the City University of New York, New York, NY 10031, USA
S. WEINBAUM
Affiliation:
Departments of Biomedical and Mechanical Engineering and New York Center for Biomedical Engineering, The City College of the City University of New York, New York, NY 10031, USA
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Abstract

A new experimental and theoretical approach is presented to examine the dynamic lift forces that are generated in the compression of both fresh powder snow and wind-packed snow. At typical skiing velocities of 10 to 30ms$^{-1}$ the duration of contact of a ski or snowboard with the snow will vary from 0.05 to 0.2s depending on the length of the planing surface and its speed. No one, to our knowledge, has previously measured the dynamic behaviour of snow on such a short time scale and, thus, there are no existing measurements of the excess pore pressure that can build-up in snow on this time scale. Using a novel porous cylinder–piston apparatus, we have measured the excess pore pressure that would build-up beneath the piston surface and have also measured its subsequent decay due to the venting of the air from the snow at the porous wall of the cylinder. In further experiments, in which the air is slowly and deliberately drained to avoid a build-up in pore pressure, we have been able to separate out the force exerted by the ice crystal phase as a function of its instantaneous deformation. A theoretical model for the pore pressure relaxation in the porous cylinder is then developed using consolidation theory. Dramatically different dynamic behaviour is observed for two different snow types, one (wind-packed) giving a steady continuous relaxation of the excess pore pressure and the other (fresh powder) leading to a piston rebound with negative pore pressure. A feature of the rebound is the apparent debonding of sintered ice crystals after maximum compression. This behaviour is described well by introducing a debonding coefficient where the debonding force is proportional to the expansion velocity of the medium. The experimental and theoretical approach presented herein and the previous generalized lubrication theory for compressible porous media, have laid the foundation for understanding the detailed dynamic response of soft porous layers to rapid deformation.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 542 , 10 November 2005 , pp. 281 - 304
Copyright
© 2005 Cambridge University Press

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