<p>In the present study, we consider a submerged composite geometrical shape in water which contains two cylindrical plates of finite depth. The present problem of diffraction of these composite structures approach theoretically under the assumption of linear water wave theory. We use eigenfunction expansion method and separation of variable method to obtain an analytical expression of diffracted velocity potential for each region. The analytical expression also allows us to compute the exciting forces and overturning moment of the cylinders due to diffraction. Also, the theoretical results are presented graphically for various parameters of the proposed geometrical structure. The graphs of vertical and horizontal forces and moment have shown significant behaviour within the smaller value of wavenumbers. Further, the forces and moments diminish for higher value of wavenumber. A comparison with the result given by Yao et al. [<CitationRef CitationID="CR18">18</CitationRef>] Sarkar and Bora [<CitationRef CitationID="CR3">3</CitationRef>] and Ning et al. [<CitationRef CitationID="CR13">13</CitationRef>] is presented which demonstrates good agreement of our present result. Also, we estimate Root Mean Square Error (RMSE) for the compared results and it is shown less than <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(4.5\%\)</EquationSource> </InlineEquation>. From the amplitude of exciting forces and moment, we can estimate the measure of capture-width ratio(CRW). The results shows that maximum CRW obtained for smaller value of radius. These findings can help to better understood the hydrodynamic response of composite oscillating water column (OWC) which can also help to optimize wave energy applications.</p>

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Exciting forces and overturning moment on submerged coaxial cylindrical plates in water

  • Pankaj Borah,
  • Mohammad Hassan,
  • Tran Tien Anh,
  • Nijara Konch

摘要

In the present study, we consider a submerged composite geometrical shape in water which contains two cylindrical plates of finite depth. The present problem of diffraction of these composite structures approach theoretically under the assumption of linear water wave theory. We use eigenfunction expansion method and separation of variable method to obtain an analytical expression of diffracted velocity potential for each region. The analytical expression also allows us to compute the exciting forces and overturning moment of the cylinders due to diffraction. Also, the theoretical results are presented graphically for various parameters of the proposed geometrical structure. The graphs of vertical and horizontal forces and moment have shown significant behaviour within the smaller value of wavenumbers. Further, the forces and moments diminish for higher value of wavenumber. A comparison with the result given by Yao et al. [18] Sarkar and Bora [3] and Ning et al. [13] is presented which demonstrates good agreement of our present result. Also, we estimate Root Mean Square Error (RMSE) for the compared results and it is shown less than \(4.5\%\) . From the amplitude of exciting forces and moment, we can estimate the measure of capture-width ratio(CRW). The results shows that maximum CRW obtained for smaller value of radius. These findings can help to better understood the hydrodynamic response of composite oscillating water column (OWC) which can also help to optimize wave energy applications.