Wave Forces Due To Interaction of Water Wave with A Cylindrical Hollow Structure in Water of Finite Depth

M. Hassan¹ , P. Borah² , M. Viswakarma³

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.68-72, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.6872

Online published on Apr 30, 2019

Copyright © M. Hassan, P. Borah, M. Viswakarma . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
We consider a single floating hollow cylinder in water of finite depth and investigated associated diffraction problem due to interaction of water wave with hollow cylinderical structure. This device can be considered as wave energy device because a single hollow cylindrical structure represents a particular form of wave energy device (oscillating water column). We used the method of separation of variables to obtain the analytical expressions for the diffracted velocity potentials in clearly identified regions. By using the appropriate matching conditions along the virtual and physical boundaries between the regions, we obtained and then solved a system of linear equations for the unknown coefficients. We obtained wave forces which play a significant part for a floating structure. It is observed that the changes in radius and draft of the cylinder have significant effect on exciting forces. For higher range of frequencies, the exciting forces diminished and tends to zero. The values of exciting forces with various parameters are depicted graphically and compared with available results.

Key-Words / Index Term :
Diffraction, Wave force, finite depth, virtual boundary, frequency

References :
[1] C. J. R. Garrett, “Wave forces on a circular dock”, Journal of Fluid Mechanics, Vol. 46, No. 19, pp.129-139, 1971.
[2] D. D. Bhatta, M. Rahman, “On the scattering and radiation problem for a cylinder in water of finite depth”, International Journal of Engineering Science, Vol. 41, pp. 931-967, 2003.
[3] B. J. Wu, Y. H. Zhang, Y. G. You, D. S. Jie, Y. Chen, “On diffraction and radiation problem for two cylinders in water of finite depth”, Ocean Engineering, Vol. 33, pp.679-704, 2006.
[4] B. J. Wu, Y. M. Zhang, Y. G. You, X. Y. Sun, Y. Chen, “On diffraction and radiation problem for a cylinder over a caisson in water of finite depth”, International Journal of Engineering Science, Vol. 42, pp.1193-1213, 2004.
[5] S. A. Mavrakos, “Wave loads on a stationary floating bottomless cylindrical body with finite wall thickness”, Applied Ocean Research, Vol. 7, Iissue. 4, pp.213-224, 1985.
[6] J. N. Newman, “Radiation and diffraction analysis of the McIver toroid”, Journal Engineering Mathematics, Vol. 35, pp.135—147, 1999.
[7] M. Hassan, S. N. Bora, “Exciting Forces for a Pair of Coaxial Hollow Cylinder and Bottom-mounted Cylinder in Water of Finite Depth”, Ocean Engineering, Vol. 50, pp. 38-43, 2012.
[8] M. Hassan, S. N. Bora, “Exciting forces for a wave energy device consisting of a pair of coaxial cylinders in water of finite depth”, Journal of Marine Science and Application}, Vol. 12, pp. 315-324, 2013.
[9] M. Rahman, D. D. Bhatta,”Second order wave forces on a pair of cylinders”, Canadian Application of Mathematics Quarterly, Vol. 1, Issue. 3, pp. 343-382, 1993.
[10] Y. M. Shen, Y. H. Zhang, Y. G. You, “On the radiation and diffraction of linear water waves by a rectangular structure over a sill. Part I. Infinite domain of finite water depth”, Ocean Engineering, Vol. 32, pp. 1073-1097, 2005.
[11] P. Siddorn, R. E. Taylor, “Diffraction and independent radiation by an array of floating cylinders”, Ocean Engineering, Vol. 35, pp.1289-1303, 2008.
[12] S. P. Zhu, L. Mitchell, “Diffraction of ocean waves around a hollow cylindrical shell structure”, Wave Motion, Vol. 46, pp.78-88, 2009.
[13] Y. H. Zhang, Y. M. Shen, Y. G. You, B. J. Wu, L. Rong,, “Hydrodynamic properties of two vertical truncated cylinders in waves”, Ocean Engineering, Vol. 32, pp.241-271, 2005.
[14] R. C. MacCamy, R. A. Fuchs, “Wave Forces on Piles: A Diffraction Theory Technical”, Memo,No. 69 US Army Beach Erosion Board, pp.17, 1954.
[15] A. Kumar and G. C. Sharma, “Performance and analysis of flow between Annular Space Surrounded by a Rotating Coaxial cylinder with Co-axial Cylindrical Porous Medium”, International Journal of Scientific Research in Computer Sciences and Engineering, Vol. 5, No.3, pp. 1-6, 2017.