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Formulation for Critical Shear Stress of Cohesive Sediment Mixture


Affiliations
1 Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, India
2 Department of Civil Engineering, Jaypee University of Information Technology, Waknaghat, Solan 173 234, India
 

This article describes results of an experimental study on incipient motion of gravel particles present in the cohesive mixtures, i.e. clay–silt–gravel and clay–silt–sand–gravel, in which the percentage of clay varied from 10% to 50% on weight basis. Incipient motion condition is visually and quantitatively identified which responds to sheet and line erosion type appearance on the top surface of the channel bed for clay up to 30% and mass erosion pattern for 40% and 50% of clay. The clay percentage, weighted geometric standard deviation and bulk density of the cohesive sediment mixture are found to be the main parameters that affect the incipient motion of gravel particles. A functional relationship is proposed to determine critical shear stress of gravel particles present in cohesive sediment mixtures. The regression analyses as well as goodness of fit test were conducted for the proposed relationships which were found to be in good agreement with the present data.

Keywords

Clay Content, Cohesive Sediment Mixture, Critical Shear Stress, Incipient Motion, Sediment Transport.
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  • Shields, I. A., Application of similarity principles and turbulence research to bed-load movement. Publication No. 167, California Institute of Technology, Pasadena, 1936, pp. 1–36.
  • Iwagaki, Y., Hydrodynamical study on critical tractive force. Trans. JSCE, 1956, 41, 1–21.
  • Yang, C. T., Incipient motion and sediment transport. J. Hydraul. Div., 1973, 99, 1679–1704.
  • Yalin, M. S. and Karahan, E., Inception of sediment transport. J. Hydraul. Div., 1979, 105, 1433.
  • Singh, M., Singh, I. B. and Müller, G., Sediment characteristics and transportation dynamics of the Ganga River. Geomorphology, 2007, 86, 144–175.
  • Arora, C., Bhaskaran, Jain, P. K., Bhar, I., Bhar, A. and Narayana, A. C., Bottom boundary layer characteristics in the Hooghly estuary under combined wave-current action. Mar. Geod., 2010, 33, 261–281.
  • Arora, C. and Bhaskaran, P. K., Parameterization of bottom friction under combined wave-tide action in the Hooghly estuary, India. Ocean Eng., 2012, 43, 43–55.
  • Arora, C. and Bhaskaran, P. K., Numerical modeling of suspended sediment concentration and its validation for the Hooghly estuary, India. Coast. Eng. J., 2013, 55, 1–23.
  • Arora, C., Bhaskaran, P. K., and Narayana, A. C., Influence of particle shape on drag coefficient for commonly occurring sandy particles in coastal areas. Int. J. Ocean Clim. Syst., 2010, 1, 99– 112.
  • Mitchener, H. and Torfs, H., Erosion of mud/sand mixtures. Coast. Eng., 1996, 29(1–2), 1–25.
  • Ansari, S. A., Kothyari, U. C. and Ranga Raju, K. G., Incipient motion characteristics of cohesive sediments. ISH J. Hydraul. Eng., 2007, 13, 108–121.
  • Ahmad, M. F., Dong, P., Mamat, M., Nik, W. B. W. and Mohd, M. H., The critical shear stresses for sand and mud mixture. Appl. Math. Sci., 2011, 5, 53–71.
  • Kothyari, U. C. and Jain, R. K., Influence of cohesion on the incipient motion condition of sediment mixtures. Water Resour. Res., 2008, 44, 1–15.
  • Kuhnle, R. A., Incipient motion of sand-gravel sediment mixtures. J. Hydraul. Eng., 1993, 119, 1400–1415.
  • Patel, P. L. and Ranga Raju, K. G., Fractionwise calculation of bed load transport. J. Hydraul. Res., 1996, 34, 363–379.
  • Wu, W., Wang, S. S. Y. and Jia, Y., Nonuniform sediment transport in alluvial rivers. J. Hydraul. Res., 2000, 38, 427–434.
  • Dong, P., Two-fraction formulation of critical shear stresses for sand and silt mixtures. J. Waterw. Port, Coastal, Ocean Eng., 2007, 133, 238–241.
  • Bridge, J. S. and Bennett, S. J., A model for the entrainment and transport of sediment grains of mixed sizes, shapes, and densities. Water Resour. Res., 1992, 28, 337–363.
  • Sutarto, T., Papanicolaou, A. N., Wilson, C. G. and Langendoen, E. J., Stability analysis of semicohesive streambanks with CONCEPTS: Coupling field and laboratory investigations to quantify the onset of fluvial erosion and mass failure. J. Hydraul. Eng., 2014, 140, 1–19.
  • Einstein, H. A., Formulas for the transportation of bed load. Trans. Am. Soc. Civ. Eng., 1942, 107, 561–577.
  • Meyer-Peter, E. and Müller, R., Formulas for bed-load transport. In Proceedings of the 2nd Meeting of the International Association of Hydraulic Research, IAHR, 1948, pp. 39–64.
  • Misri, R. L., Garde, R. J. and Ranga Raju, K. G., Bed load transport of coarse nonuniform sediment. J. Hydraul. Eng., 1984, 110, 312–328.
  • Jain, R. K., Influence of cohesion on detachment and transport of clay-sand-gravel mixtures. Ph.D. Thesis, Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee, India, 2008.
  • Brownlie, W. R., Prediction of flow depth and sediment discharge in open channels. Report No. KH-R-43A, W. M. Keck Laboratory of Hydraulics and Water Resources, California Institute of Technology, Pasadena, California, 1981, pp. 1–232.
  • Garde, R. J. and Ranga Raju, K. G., Mechanics of sediment transportation and alluvial stream problems. 3rd edn., New Age International, New Delhi, 2000, pp. 1–712.
  • IS (Bureau of Indian Standards), Determination of in-place density by core-cutter method. IS-2720, Part XXIX, New Delhi, 1975, pp. 1–9.
  • IS (Bureau of Indian Standards), Determination of shear strength by unconfined compression method. IS-2720, Part X, New Delhi, 1991, pp. 1–4.
  • Kamphuis, J. W. and Hall, K. R., Cohesive material erosion by unidirectional current. J. Hydraul. Eng., 1983, 109, 49–61.
  • Yang, C. T., Molinas, A. and Wu, B., Sediment transport in the Yellow River. J. Hydraul. Eng., 1996, 122, 237–244.

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  • Formulation for Critical Shear Stress of Cohesive Sediment Mixture

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Authors

Umesh K. Singh
Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, India
Z. Ahmad
Department of Civil Engineering, Indian Institute of Technology Roorkee, Roorkee 247 667, India
Ashish Kumar
Department of Civil Engineering, Jaypee University of Information Technology, Waknaghat, Solan 173 234, India

Abstract


This article describes results of an experimental study on incipient motion of gravel particles present in the cohesive mixtures, i.e. clay–silt–gravel and clay–silt–sand–gravel, in which the percentage of clay varied from 10% to 50% on weight basis. Incipient motion condition is visually and quantitatively identified which responds to sheet and line erosion type appearance on the top surface of the channel bed for clay up to 30% and mass erosion pattern for 40% and 50% of clay. The clay percentage, weighted geometric standard deviation and bulk density of the cohesive sediment mixture are found to be the main parameters that affect the incipient motion of gravel particles. A functional relationship is proposed to determine critical shear stress of gravel particles present in cohesive sediment mixtures. The regression analyses as well as goodness of fit test were conducted for the proposed relationships which were found to be in good agreement with the present data.

Keywords


Clay Content, Cohesive Sediment Mixture, Critical Shear Stress, Incipient Motion, Sediment Transport.

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DOI: https://doi.org/10.18520/cs%2Fv113%2Fi11%2F2105-2111