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<br />Effects of particle Shape on Bedload Transport
<br />M. Moorel and P. Diplas2, Member, ASCE
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<br />Abstract
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<br />The effects of particle shape on bedload transport in
<br />gravel-bed streams are examined ".sing a similarity al?proach
<br />and fractional transport analysl.s for data from P~ceance
<br />Creek Colorado, which contains flat, low density, shale
<br />parti~les. The reference transport critical shear stress
<br />for the median surface grain size, "tr5o.*' for the flat shale
<br />particles in piceance Creek is approximately 2.5 times
<br />higher than those for more spherical particles. This
<br />indicates a lower susceptibility of disc-like particles to
<br />initial entrainment and lower transport rates for given
<br />flow conditions than more rounded particles.
<br />
<br />Introduction
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<br />The experiments on which the widely used Shields'
<br />curve for incipient motion is based are for nearly
<br />spherical, uniform grains on a flat bed. Since most
<br />bedload transport relations do not specifically account for
<br />the effects of particle shape on grain motion these effects
<br />must be studied for streams containing either a variety of
<br />particle shapes or an abundan,ce. of a par~icular sh~pe.
<br />Particle shape may be quant~f1ed by uS1ng the Z1n/~g
<br />classification or the Corey Shape Factor, CSF = c/(ab)' ,
<br />where a, h, and c are the longest, intermediate, and
<br />shortest grain axes respectively.
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<br />IGraduate student, Department of Civil Engineering,
<br />Virginia polytechnic Institute and State University,
<br />B1acksburg, VA 24061
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<br />2Associate Professor, Department of Civil Engineer~nq,
<br />Virginia polytechnic Institute and State Univers1ty,
<br />B1acksburg, VA 24061
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<br />EFfECTS OF PARTICLE SHAPE
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<br />Research on the relative mobility of discs versus sub-
<br />or well-rounded particles has produced conflicting results.
<br />However, the majority of the investigations suggest that
<br />discs are less mobile.
<br />Flat, disc-like particles have been observed to be
<br />imbricated, whereby one grain rests atop another with onB
<br />end tilting up in the direction of flow. Mantz (1980)
<br />suggests that flat, imbricated grains have increased bed
<br />stability and lower transport rates relative to non-
<br />imbricated grains for the same flow conditions. Komar and
<br />Li (1986) attribute their increased stability near
<br />threshold conditions to higher pivot angles exhibited by
<br />imbricated and flat grains. Similarly, Lane and Carlson
<br />(1954) found that disc shaped grains are less susceptible
<br />to motion than spherical particles of equal weight.
<br />Ashworth and Ferguson (1989), noticed that spherical
<br />particles moved farther than flatter particles, which
<br />indicates lower transport rates for discs. carling, et al
<br />(1992) found lower grain velocities for discs than for
<br />spheres for low flow velocities, however, at higher flow
<br />velocities the trend was reversed.
<br />However, Magalhaes and Chau (1983) concluded that
<br />flat, low density shale particles have lower resistance to
<br />initial motion. The shale sediments had critical shear
<br />stresses 15% lower than those of Shields' diagram and 40-
<br />SO, lower than those reconunended by the U. S. Bureau of
<br />Reclamation for the design of channels.
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<br />Current study on the Effects of Particle S~
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<br />Bedload transport data from Piceance Creek, Colorado,
<br />a qr~vel-bed stream containing mostly flat shale particles,
<br />prov1de an opportunity to further investigate the relative
<br />m~bility of disc-like versus more spherical grains.
<br />Plc~ance Creek has an average CSF = 0.3 for the largest
<br />graIns, an average grain specific gravity of 2.1, a bulk
<br />mixture median grain size, 050 = 5.05 mm, and a surface
<br />layer median grain size, 0508 = 14 mm.
<br />The Piceance Creek data are used to calculate
<br />fractional bedload transport rates with a similarity
<br />al?proach analogous to that of Parker, et al (1982) dnd
<br />Dll?l~s (1987) for Oak Creek. Reference transport rate
<br />crlt1cal shear stresses are determined for comparison with
<br />other data to examine the relative mobility of the flat
<br />particles of Piceance Creek versus more rounded particles
<br />found in other streams.
<br />Dimensionless transport rates for each size range,
<br />Wi.' are plotted against dimensionless shear stress for
<br />each size range, '(i*' in Fig. 1. Wi* and '(1* are given by
<br />Eqs. 1 & 2, where the subscript i refers to the ith grain
<br />size r~nge; qe1 is the volumetric bedload transport rate per
<br />unit w1dth: q8i. is the Einstein bedload parameter; Oi and
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