Abstract
The present paper studies the stabilities of ice blocks in front of an ice cover based on experiments carried out in laboratory by using four types of ice blocks with different dimensions. The forces acting on the ice blocks in front of the ice cover are analyzed. The critical criteria for the entrainment of ice blocks in front of the ice cover are established by considering the drag force caused by the flowing water, the collision force, and the hydraulic pressure force. Formula for determining whether or not an ice block will be entrained under the ice cover is derived. All three dimensions of the ice block are considered in the proposed formula. The velocities calculated by using the developed formula are compared with those of calculated by other formulas proposed by other researchers, as well as the measured flow velocities for the entrainment of ice blocks in laboratory. The fitting values obtained by using the derived formula agree well with the experimental results.
Similar content being viewed by others
References
Fu H., Guo X. L., Yang K. L. et al. Ice accumulation and thickness distribution before inverted siphon [J]. Journal of Hydrodynamics, 2017, 29(1): 61–67.
Wang J., Li S. Y., Chen P. P. et al. Impacts of bridge piers on water level during ice jammed period in bend channelan experimental study [J]. Journal of Hydrodynamics. 2018, 30(1): 160–168.
Pariset E., Hausser R., Gagnon A. Formation of ice covers and ice jams in rivers [J]. Journal of the Hydraulics Division, 1966, 92(6): 1–24.
Ashton G. D. Froude criterion for ice-block stability [J]. Journal of Glaciology, 1974, 13(68): 307–313.
Sinotin V. I., Grentinm Z. A. A study of diving of ice floes under an obstacle [C]. Proceedings of the IAHR International Symposium on Ice and Its Action on Hydraulic Structure, Reykjavik, Iceland, 1970.
Sui J., Fang D., Zhou Y. et al. Study of critical submergence of ice blocks in front of ice cover [J]. Journal of Hydraulic Engineering, 1993, (10): 46–51(in Chinese).
Sui J., Karney B., Fang D. Variation in water level under ice-jammed condition–Field investigation and experimental study [J]. Nordic Hydrology (Now: Hydrology Research), 2005, 36(1): 65–84.
Sui J., Karney B., Sun Z. et al. Field investigation of frazil jam evolution: A case study [J]. Journal of Hydraulic Engineering, ASCE, 2002,128(8): 781–787.
Sui J., Wang J., Balachandar R. et al. Accumulation of frazil ice along a river bend [J]. Canadian Journal of Civil Engineering, 2008, 35(2): 158–169.
Wang J. Study of stability of ice block in front of ice cover [J]. Yellow River, 1997, (1): 9–12(in Chinese).
Wang J., Shi F., Chen P. et al. Impacts of bridge abutments on the critical condition for initiation of ice coveran experimental study [J]. Journal of Hydrology and Hydromechanics, 2015, 63(4): 327–333.
Wang J., Shi F. Y., Chen P. P. et al. Impacts of bridge pier on the stability of ice jam [J], Journal of Hydrodynamics, 2015, 27(6): 865–871.
Ambtman K. D., Steffler P. M., Hicks F. E. Analysis of the stability of floating ice blocks [J]. Journal of Hydraulic Engineering, ASCE, 2011, 137(4): 412–422.
Lian J. J., Luo F. X., Zhao X. Numerical simulation of ice submergence in water conveyance channel [J]. Journal of Hydraulic Engineering, 2013, 44(6): 673–679(in Chinese).
Healy D., Hicks F. E. Experimental study of ice jam thickening under dynamic flow conditions [J]. Journal of Cold Regions Engineering, 2007, 21(3): 72–91.
Pang Q. Experimental study of forces acting on a solid subject in flowing water [D]. Master Thesis, Nanjing, China: Hohai University, 2005(in Chinese).
Dow Ambtman K. E., Hicks F. E., Steffler P. M. Experimental investigation of the pressure distribution beneath a floating ice block [J]. Journal of Hydraulic Engineering, ASCE, 2010, 137(4): 399–411.
Song X., Zhao X., Liu B. Numerical simulation of distribution characteristics of water pressure at bottom of submerged ice blocks of channel [J]. Journal of Water Resources and Water Engineering, 2014, 25(1): 117–121.
Uzuner M. S., Kennedy J. F. Stability of floating ice blocks [J]. Journal of the Hydraulics Division, 1972, 98(12): 2117–2133.
Coutermarsh B. A., Randy McGilvary W. Static analysis of floating ice block stability [J]. Journal of Hydraulic Research, 1993, 31(2): 147–160.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the National Natural Science Foundation of China (Grant No. 51379054).
Biography: Jun Wang (1962-), Male, Ph. D., Professor
Rights and permissions
About this article
Cite this article
Wang, J., Wu, Yf. & Sui, J. Revisit submergence of ice blocks in front of ice cover—an experimental study. J Hydrodyn 30, 336–344 (2018). https://doi.org/10.1007/s42241-018-0031-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42241-018-0031-8