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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Print: 2152-5102
ISSN Online: 2152-5110

International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v42.i2.10
pages 95-110

Surge Motion Coefficients for a Finite Circular Hollow Cylinder Radiating in Water of Infinite Depth

M. Hassan
Department of Mathematics, Indian Institute of Technology Guwahati Guwahati 781039, India
S. N. Bora
Department of Mathematics, Indian Institute of Technology Guwahati Guwahati 781039, India

ABSTRACT

Within the framework of linear water wave theory, the radiation of water waves by a hollow circular cylinder in an infinite depth ocean is considered. The whole fluid domain is divided into two regions: interior and exterior regions. Using separation of variables technique, Fourier sine transform and Havelock's expansion theorem, the radiated potentials in each region are obtained, and consequently the added mass, the damping coefficients and phase angles are evaluated for different wavenumbers and different drafts of the cylinder. It is observed that mostly the added mass are significant only at lower frequencies while the damping coefficients attain higher values in the middle range of frequencies. The added mass almost vanish at higher frequencies. All the results are depicted graphically.


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