Abstract
The influence of a basin depth on ice cover deflections, when a submarine moves under it in fluid, is experimentally and theoretically analyzed. For a theoretical research the ice cover is modelled by an elastic floating plate, and the submarine is modelled by a source-sink system in a fluid flow. The problem is solved by means of asymptotic analysis and integral transformations. The experimental study is conducted with submarine models in the pool with the sizes L × B × H = 10 m × 3 m × 1 m . The ice cover for experiments is modelled in two ways. The first way is the thin ice plate received by freezing of the surface layer of water at low temperatures. In the second case the rubber sheet floating on a reservoir surface is used. The special velocity (the velocity at which maximum values of the wave height are reached) is analyzed. It is obtained that the decrease of the basin depth leads to decrease of the special speed. For small speeds (less than the special speed) there is the fact that the basin depth decrease leads to the increase of the height of the flexural-gravity wave.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Squire V.A. Synergies between VLFS hydroelasticity and sea ice research [J]. Int J Offshore and Polar Eng, 2008, 18(4): 241–253.
Squire V. A., Hosking R. J., Kerr A. D. et al. Moving loads on ice plates [M]. Dordrecht: Kluwer Academic Publishers, 1996.
Kheisin D. E. Ice-Field Dynamics [M]. Leningrad: Gidrometeoizdat, 1967: 215. (in Russian). Technical Translation FSTC-HT-23-485-69, U.S. Army foreign Science and Technology Center.
Kozin V. M., Onishchuk A. G. Model investigations of wave formation in solid ice cover from the motion of a submarine [J]. J Appl Mech Tech Phys, 1994, 35(2): 235–238.
Bukatov A. E., Zharkov V. V. Influence of a floating elastic plate on the surface effects of internal waves generated by motion of a source in a non-homogeneous fluid [J]. Fluid Dynamics, 1995, 30(2): 254–260.
Kozin V. M., Pogorelova A. V. Submarine moving close to ice surface conditions [J]. Int J Offshore and Polar Eng, ISOPE, 2008, 18(4): 271–276.
Pogorelova A. V. Unsteady Motion of a Source in a Fluid under a Floating Plate [J]. J Appl Mech Tech Phys, 2011, 52(5): 717–726.
Pogorelova A. V., Kozin V. M. Flexural-gravity waves due to unsteady motion of point source under a floating plate in fluid of finite depth [J]. Journal of Hydrodynamics, 2010, 22(5): 71–76.
Lu D. Q., Dai S. Q. Flexural-and capillary-gravity waves due to fundamental singularities in an inviscid fluid of finite depth [J]. Int. J. Eng. Sci., 2008, 46(11): 1183–1193.
Sturova I. V. Unsteady three-dimensional sources in deep water with an elastic cover and their applications [J]. J. Fluid Mech., 2013, 730: 392–418.
Pogorelova A. V., Kozin V. M., Zemlyak V. L. Motion of a slender body in a fluid under a floating plate [J]. J.Appl. Mech. Tech. Phys., 2012, 53(1): 27–37.
Il’in V. E., Kolesnikov A. I. Russian Submarines: Illustrated Handbook [M]. Moscow: Astrel, 2001.
Acknowledgement
This work was funded by RSF (Russian Science Foundation) according to the research project No. 16-19-10097.
Author information
Authors and Affiliations
Corresponding author
Additional information
Biography: Alexandra V. Pogorelova (1964-), Female, Ph. D. Candidate
Rights and permissions
About this article
Cite this article
Pogorelova, A.V., Zemlyak, V.L. & Kozin, V.M. Moving of a submarine under an ice cover in fluid of finite depth. J Hydrodyn 31, 562–569 (2019). https://doi.org/10.1007/s42241-018-0143-1
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42241-018-0143-1