Evaluation of Sediment Transport Function Using Different Fall Velocity Equations
H.N. Prajapati, Pacific School of engineering and Technology, Surat; M.S.Shah ,Assist. Professor, Civil, GIDC Degree Engineering College, Abrama, Navsari; S. I. Waikhom ,Dr. S & S S Ghandhy Government Engineering College, Surat, Gujarat, India ; Dr. S. M. Yadav ,Sardar Vallabhbhai National Institute of Technology, Surat
Fall Velocity Approaches, Statistical Parameters, Total Load and Yang’s Unit Stream Power
Study of sediment transport in river morphological problems requires proper relation to be established for the estimation of the terminal velocity, also known as fall velocity of particles. A large number of formulas have been developed by many researchers to determine fall velocity for particles size of various ranges. Present work aims to determine the applicability of the unit stream power equation of Yang (1979) for predicting total load transport rate using different fall velocity functions of Van Rijn (1984 b), Cheng (1997), Julien (1995) and Soulsby (1997) for a range of hydraulic parameters. Flume data of Wills et al. (1972) and Stein R.A. (1965) are used to analyse the Yang’s total load function. Graphical representation of 152 data points and plot of observed and predicted total load transport for the selected data sets shows the scattering of value from the line of perfect fit within small range of errors of +_100% for the data sets of Stein R.A. (1965) and Wills et al. (1972) for all the selected fall velocity functions. Applicability of Yang’s total load function is also verified using different statistical parameters such as mean square error, Root mean Square Error, Inequality coefficient and Discrepancy ratio.
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[1] Graf W.H. (1971), Hydraulics of sediment transport, McGraw Hill, N.Y.
[2] Karim, M.F., and J.F. Kennedy (1990). Means of Coupled Velocity and Sediment-Discharge Relationships for Rivers, Journal of Hydraulic Engineering, ASCE, vol.116, no. 8, pp 973-996.
[3] Laursen, E.M. (1958). The total sediment load of streams. Journal of Hydraulic Division, ASCE 84(HY1): 1-36.
[4] Toffaleti, F.B. (1968). “A procedure for computation of the total river sand discharge and detailed distribution, bed to surface”, Technical Report No.5, US Army Corps of Engineers, Vicksburg, Miss.
[5] Shen, H.W., and C.S. Hung (1972). "An Engineering Approach to Total Bed-Material Load byRegression Analysis," Proceedings of the Sedimentation Symposium, ch. 14, pp. 14-1 through 14-1 7. |
[6] K. Sinnakaudan, A. Ab Ghani, M. S. S.Ahmad and N. A. Zakaria, (2006), Multiple Linear Regression Model for Total Bed Material Load Prediction, Journal of Hydraulic Engineering, Vol. 132, No. 5, ASCE, ISSN 0733-9429/2006/5-521–528.
[7] Brown, P. P., and Lawler, D. F. 2003, “Sphere drag and settling velocity revisited”. J. Environ. Eng., Celik, I., and Rodi, W. (1991). "Suspended Sediment Transport Capacity for open Channel Flow." J. H.E ASCE, Vol. 117.
[8] Cheng, N. S. 1997, “Simplified settling velocity formula for sediment particle”. J. H. Eng., ASCE, 123(8), Dietrich, W.E. 1982. Settling velocity of natural particles. Water Resource. Res., 18(6), 1615–1626.
[9] Ferguson, R.I. and Church, M., 2004, “A simple universal equation for grain settling velocity Journal of Sedimentary Geology”, 74, 933937.
[10] Garde, R. J., and Ranga Raju, K. G., "Mechanics of Sediment Transportation and Alluvial Streams Problems," Wiley Eastern Ltd., 1977, p. 171.
[11] Hilay Prajapati, Mrs. S. I. Waikhom,Dr. S. M. Yadav (2015), “Assessing the predictability of Total sediment Transport rate for Unit Stream Power Approach” International Journal of Advance Engineering and Research Development Special issue PP. NCRRETCE25.
[12] Julien, P. Y., “Erosion and sedimentation”, Cambridge University Press, 1995.
[13] Rijn, L. C Van,” Sediment Transport, Part II: Suspended Load Transport,” J. H.E., ASCE, 1984b, Vol. 110,
[14] Rouse H. “Modern Conceptions of mechanics of fluid turbulence” Trans. ASCE, 1937, Vol. 102, pp.463-543.
[15] Rubey, W., “Settling velocities of gravel, sand andsilt particles”. Am. J. Sci., 1933, 225, 325–338.
[16] Samaga, R. B., RangaRaju, G. K. and Garde, J. R., “Suspended Load Transport of Sediment Mixtures,” J. Hydr. Engrg., ASCE, 1986b, Vol. 112, No. 11, pp. 1019-1035.
[17] Soulsby, R. L., Dynamics of marine sands,Thomas Telford, London, 1997.
[18] Toffaletti, F.B., “A procedure for computation of the total river sand discharge and detailed distribution, bed to surface”, Technical Report No.5, US Army Corps of Engineers, Vicksburg, Miss, 1968.
[19] S. I. Waikhom., Hilay Prajapati,, S. M. Yadav, “Evaluation of unit stream power approach for predicting total load transport rate,” Proceedings of 20th International Conference on Hydraulics, Water Resources and River Engineering, IIT Roorkee, 2015.
[20] S. I. Waikhom. , S. M. Yadav., Hilay Prajapati, “Predictability of Yang (1984) for sand-gravel bed material,” International Journal of Engineering Research and General Science, 2015,Volume 3, Issue 4, PP 2015 954-958.
[21] Yang, C.T., “The movement of sediment in rivers”. In: Geophysical Survey Vol. 3: Holland, pp. 39--68. Julien, P. Y. (1995), “Erosion and sedimentation”, Cambridge University Press, 1977.
[22] Yang, C.T., “Unit stream power and sediment transport”. J. Hydraul. Div., A.S.C.E., Proc. Pap. 9295, 98(HY10): 1805--1826.US Geological Survey Water Supply Paper 1357, 1979.
[23] Yang C.T., “Unit Stream Power Equation for Gravel”, Journal of Hydraulic Engineering, ASCE, 1984, Vol. 1 10, no. 12, pp. 1783-1 797.
Paper ID: GRDCF001089
Published in: Conference : Recent Advances in Civil Engineering for Global Sustainability (RACEGS-2016)
Page(s): 564 - 568
Published in: Conference : Recent Advances in Civil Engineering for Global Sustainability (RACEGS-2016)
Page(s): 564 - 568