Developing empirical formulas for assessing the scour of vertical and inclined piers

References

• Abdul-Hassan, K. A-.S., and O. Zaid Hadi. 2016. Experimental Study of Bridge Pier. International Journal of Civil Engineering and Technology (IJCIET) 7 (1): 162–171.
   Google Scholar
• Aghaee-Shalmani, Y., and H. Hakimzadeh. 2015. Experimental Investigation of Scour Around Semi-Conical Piers Under Steady Current Action. European Journal of Environmental and Civil Engineering. 37–41.
   Web of Science ®Google Scholar
• Ahmad, N., T. Mohamed, F. H. Ali, and B. Yusuf. 2014. Clear-Water Local Scour at Wide Piers in Shallow-Water Flow. Water Practice and Technology 9 (3): 331–343.
   Google Scholar
• Baykal, C., B. M. Sumer, D. R. Fuhrman, N. G. Jacobsen, and J. Fredsøe. 2015. Numerical Investigation of Flow and Scour Around a Vertical Circular Cylinder. Philosophical Transactions A 373 (2033): 1048–1054.
   Google Scholar
• Ben, S., M. Khajeh, and M. Vaghefi. 2017. The Scour Pattern Around an Inclined Cylindrical Pier in a Sharp 180-degree Bend: An Experimental Study. International Journal of River Basin Management. 1–12.
   Web of Science ®Google Scholar
• Bozkuş, Z., and M. Çeşme. 2010. Reduction of Scouring Depth by Using Inclined Piers. Canadian Journal of Civil Engineering 37 (12): 1621–1630.
   Web of Science ®Google Scholar
• Bozkus, Z., and O. Yildiz. 2004. Effects of Inclination of Bridge Piers on Scouring Depth. Journal of Hydraulic Engineering 130 (8): 827–832.
   Web of Science ®Google Scholar
• Breusers, H. N. C., Nicollet, G., and H. W. Shen. 1977. Local Scour around Cylindrical Piers. Journal of Hydraulic Research. 37–41.
   Web of Science ®Google Scholar
• Chabert, J., and P. Engeldinger. 1956. Etude des affouillements autour des piles des ponts. Laboratoire d’Hydraulique [Study of Scours Around the Piles of the Bridges. Hydraulic Laboratory]. France: Chatou.
   Google Scholar
• Chiew, Y. M., and B. W. Melville. 1987. Local Scour around Bridge Piers. Journal of Hydraulic Research. 37–41.
   Web of Science ®Google Scholar
• Kumar, D., and S. K. H. Hira Lal Yadav. 2011. Estimation of Scour Depth around Bridge Piers by Using HEC-RAS. Recent Advances in Civil Engineering.
   Google Scholar
• Elsaeed, G. H. 2016. Validating SSIIM 3-D Numerical Model to Calculate Local Scour Around Bridge Piers Local Scour Around Bridge Piers. International Journal of Academic Research.
   Google Scholar
• Elsaeed, G. H. 2011. Validating SSIIM 3-D Numerical Model to Calculate Local Scour Around Bridge Piers Local Scour Around Bridge Piers. International Journal of Academic Research.
   Google Scholar
• Ettema, R. 1980. Scour at Bridge Piers. Report No. 216, School of Engineering, The University of Auckland, Auckland, New Zealand, pp. 527.
   Google Scholar
• Fael, C., R. Lança, and A. Cardoso. 2016. Effect of Pier Shape and Pier Alignment on the Equilibrium Scour Depth at Single Piers. International Journal of Sediment Research. 1–7.
   Web of Science ®Google Scholar
• Fenocchi, A., and L. Natale. 2016. Using Numerical and Physical Modeling to Evaluate Total Scour at Bridge Piers. Journal of Hydraulic Engineering. 1–5.
   Web of Science ®Google Scholar
• Franzetti, S., S. Malavasi, and C. Piccinin. 1994. Sull’erosione alla base delle pile dei ponti. XXIV Convegno d’idraulica e costruzioni idrauliche [On Erosion at the Base of Bridges. XXIV Hydraulic Convention and Hydraulic Constructions]. Naples. Italy.
   Google Scholar
• Ghelardi, V. M. 2004. Estimation of Long Term Bridge Pier Scour in Cohhesive Soils at Maryland Bridges Using EFA/SRICOS. PhD Diss.
   Google Scholar
• Hafez, Y. I. 2016. Mathematical Modeling of Local Scour at Slender and Wide Bridge Piers. Journal of Fluids 2016: 1.
   Google Scholar
• Karimi, N., M. Heidarnejad, and A. Masjedi. 2017. Scour Depth at Inclined Bridge Piers Along a Straight Path: A Laboratory Study. Engineering Science and Technology, An International Journal. 0–5.
   Google Scholar
• Khan, M., M. Tufail, and M. Ajmal. 2017. Experimental Analysis of the Scour Pattern Modeling of Scour Depth Around Bridge Piers. Arabian Journal for Science and Engineering.
   Web of Science ®Google Scholar
• Kim, H. S., M. Nabi, I. Kimura, and Y. Shimizu. 2014. Numerical Investigation of Local Scour at Two Adjacent Cylinders. Advances in Water Resources 70: 131–47.
   Web of Science ®Google Scholar
• Lança, R., R. Maia, and J. Pêgo. 2012. Effect of Spacing and Skew-Angle on Clear-Water Scour at Pier Alignments. River Flow 2012: 927–33.
   Google Scholar
• Lança, R. M. M., G. Simarro, and C. M. S. Fael. 2015. Effect of Viscosity on the Equilibrium Scour Depth at Single Cylindrical Piers. Journal of Hydraulic Engineering. 1–4.
   Web of Science ®Google Scholar
• Melville, B. W., and S. E. Coleman. 2000. Bridge Scour. Colorado, USA: Water Resources Publications, Highlands Ranch.
   Google Scholar
• Melville, B. W., and A. J. Raudkivi. 1977. Flow Characteristics in Local Scour at Bridge Piers. Journal of Hydraulic Research 15 (4): 373–380.
   Web of Science ®Google Scholar
• Melville, B., and Y.-M. Chiew. 1999. Time Scale for Local Scour at Bridge Piers. Journal of Hydraulic Engineering 125 (1): 59–65.
   Web of Science ®Google Scholar
• Melville, B. W., and A. J. Sutherland. 1988. Design Method for Local Scour at Bridge Piers. Journal of Hydraulic Engineering 114 (10): 1210–1226.
   Web of Science ®Google Scholar
• Nagata, N., T. Hosoda, T. Nakato, and Y. Muramoto. 2005. Three-Dimensional Numerical Model for Flow and Bed Deformation around River Hydraulic Structures. Journal of Hydraulic Engineering 131 (12): 1074–1087.
   Web of Science ®Google Scholar
• Oliveto, G., W. H. Hager, and F. Asce. 2002. Temporal Evolution of Clear-Water Pier and Abutment Scour. 811–820.
   Google Scholar
• Omara, H., G. M. Abdeelaalb, H. F. Abd-Elhamidb, S. Ookawarac, and A. T. Kazuo Nadaokac. 2018. Studying the Effect of Pier Shape and Length on the Scour Depth Experimentally and Numerically.
   Google Scholar
• Paintal, A. S., and R. J. Garade. 1965. Effect of Inclination and Shape of Obstruction on Local Scour. In Research Journal Vol. 8. Uttar Pradesh, India: University of Roorkee.
   Google Scholar
• Pal, M., N. K. Singh, and N. K. Tiwari. 2012. Kernel Methods for Pier Scour Modeling Using Field Data. KSCE Journal of Civil Engineering 16 (6): 1079–1084.
   Web of Science ®Google Scholar
• Pandey, M., and P. K. S. Z. Ahmad. 2017. Evaluation of Existing Equations for Temporal Scour Depth Around Circular Bridge Piers. Environmental Fluid Mechanics.
   PubMed Web of Science ®Google Scholar
• Qi, M., J. Li, and Q. Chen. 2016. Comparison of Existing Equations for Local Scour at Bridge Piers: Parameter Influence and Validation. Natural Hazards.
   PubMed Web of Science ®Google Scholar
• Raudkivi, A., and R. Ettema. 1977. Effect of Sediment Gradation on Clear-Water Scour. Proceedings, ASCE 103 (HY10): 1209–1121.
   Google Scholar
• Raudkivi, A. J. 1986. Functional Trends of Scour at Bridge Piers. Journal of Hydraulic Engineering 112 (1): 1–13.
   Web of Science ®Google Scholar
• Richardson, E. V., and A. Richardson. 1988. Bridge scour. Civil Engineering Department Colorado State University.
   Google Scholar
• Talib, A., Z. H. Obeid, and H. K. Hameed. 2016. New Imperial Equation for Local Scour Around Various Bridge Piers Shapes. International Journal of Science and Research (IJSR) 5 (9): 654–658.
   Google Scholar
• Vaghefi, M., M. Ghodsian, and S. Salimi. 2016. Scour Formation Due to Laterally Inclined Circular Pier. Arabian Journal for Science and Engineering 41 (4): 1311–1318.
   Web of Science ®Google Scholar
• Vaghefi, M., M. Ghodsian, and S. Salimi. 2015. The Effect of Circular Bridge Piers with Different Inclination Angles Towards Downstrean on Scour. Sadhana.
   Web of Science ®Google Scholar