Incipient Motion of Bivalve Shells on Sand Beds under Flowing Water
Publication: Journal of Engineering Mechanics
Volume 129, Issue 2
Abstract
A model is presented to determine the critical shear stress for the incipient motion of bivalve shells on a horizontal sand bed, under a unidirectional flow of water. Hydrodynamic forces on a solitary bivalve shell, resting over a sand bed, are analyzed for the condition of incipient motion including the effect of turbulent fluctuations. Hydrodynamic forces such as drag and lift are taken into consideration. Three types of bivalve shells, namely Coquina Clam, Cross-barred Chione and Ponderous Ark, were tested experimentally for the condition of incipient motion. The shape parameter of bivalve shells is defined appropriately. Experiments were conducted in a flume with a horizontal bed, and the critical shear stresses were computed using Vanoni’s side-wall correction. The experimental data are used to calibrate the model making lift coefficient a free parameter. The results obtained using the present model agree satisfactorily with the experimental data.
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References
Alger, G. R., and Simons, D. B.(1968). “Fall velocity of irregular shaped particles.” J. Hydraul. Div., Am. Soc. Civ. Eng., 94(3), 721–737.
Austin, H. M.(1971). “Shell debris and shoreline energy on Florida Gulf beaches.” Q. J. Florida Acad. Sci., 33(2), 90–96.
Dey, S.(1996). “Sediment pick-up for evolving scour near circular cylinders.” Appl. Math. Model., 20(7), 534–539.
Dey, S.(1999). “Sediment threshold.” Appl. Math. Model., 23(5), 399–417.
Dey, S.(2001). “Experimental study on incipient motion of sediment particles on generalized sloping beds.” Int. J. Sediment Res., 16(3), 391–398.
Dey, S., and Bose, S. K.(1994). “Bed shear in equilibrium scour around a circular cylinder embedded in a loose bed.” Appl. Math. Model., 18(5), 265–273.
Dey, S., and Debnath, K.(2000). “Influence of streamwise bed slope on sediment threshold under stream flow.” J. Irrig. Drain. Eng., 126(4), 255–263.
Dey, S., Dey Sarker, H. K., and Debnath, K.(1999). “Sediment threshold under stream flow on horizontal and sloping beds.” J. Eng. Mech., 125(5), 545–553.
Dey, S., and Kar, S. K.(1995). “Bed shear in evolving scour at a cylinder: a theoretical approach.” Int. J. Sediment Res., 10(1), 13–31.
Grass, A. J.(1970). “Initial instability of fine bed sand.” J. Hydraul. Div., Am. Soc. Civ. Eng., 96(3), 619–632.
James, C. S.(1990). “Prediction of entrainment conditions for nonuniform, noncohesive sediments.” J. Hydraul. Res., 28(1), 25–41.
Keshavarzy, A., and Ball, J. E. (1996a). “The influence of the turbulent shear stress on the initiation of sediment motion in an open channel flow.” Proc., VII IAHR Int. Symposium on Stochastic Hydraulics, 96, 191–197.
Keshavarzy, A., and Ball, J. E. (1996b). “Characteristics of turbulent shear stress applied to bed particles in an open channel flow.” Proc., VII IAHR Int. Symposium on Stochastic Hydraulics, 96, 451–458.
Kirby, R. (1969). “Sedimentary environments, sedimentary processes and river history in the Lower Medway estuary, Kent.” Doctoral thesis, University of London, UK.
Komar, P. D. (1976). Beach processes and sedimentation, Prentice-Hall, Englewood Cliffs, N.J.
Mantz, P. A.(1977). “Incipient transport of fine grains and flanks by fluids—extended Shields diagram.” J. Hydraul. Div., Am. Soc. Civ. Eng., 103(6), 601–615.
Mehta, A. J., Lee, J., and Christensen, B. A.(1980). “Fall velocity of shells as coastal sediment.” J. Hydraul. Div., Am. Soc. Civ. Eng., 106(11), 1727–1744.
Miller, M. C., McCave, I. N., and Komar, P. D.(1977). “Threshold of sediment motion under unidirectional currents.” Sedimentology, 24, 507–527.
Raymond, P. E., and Hutchins, F.(1932). “A calcareous beach at John o’Groats, Scotland.” J. Sediment. Petrol., 2(Aug.), 63–67.
Runsak, G. A., Stockman, K. W., and Hofmann, H. A. (1966). “The role of shell material in the natural sand replenishment cycle of the beach and nearshore area between lake Worth inlet and the Miami ship channel.” Final Report, Institute of Marine Science, Miami Laboratory, University of Miami, Miami, Florida.
Shames, I. H. (1992). Mechanics of fluids, McGraw-Hill New York, N.Y.
Shields, A.(1936). “Application of similarity principles and turbulence research to bed-load movement.” Mitt. Preussischen Versuchsanstalt für Wasserbau und Schiffbau, Berlin, Germany, 26, 5–24.
Vanoni, V. A. (1975). “Sedimentation Engineering,” ASCE Manual No. 54, ASCE, New York.
van Rijn, L. C.(1984). “Sediment transport, part I: bed-load transport.” J. Hydraul. Eng., 110(10), 1431–1456.
Wiberg, P. L., and Smith, J. D.(1987). “Calculations of the critical shear stress for motion of uniform and heterogeneous sediments.” Water Resour. Res., 23(8), 1471–1480.
Yalin, M. S., and Karahan, E.(1979). “Inception of sediment transport.” J. Hydraul. Div., Am. Soc. Civ. Eng., 105(11), 1433–1443.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 129 • Issue 2 • February 2003
Pages: 232 - 240
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: May 3, 2001
Accepted: Jul 1, 2002
Published online: Jan 15, 2003
Published in print: Feb 2003
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