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Ocean Engineering

Interaction of Waves With a Steady Intake/Discharge Flow Emanating From a 3D Body

[+] Author and Article Information
Bala Padmanabhan

 FloaTEC, LLC, Houston, TX 77079bpadmanabhan@floatec.com

R. Cengiz Ertekin1

Department of Ocean and Resources Engineering, University of Hawaii, Honolulu, HI 96822ertekin@hawaii.edu

1

Corresponding author.

J. Offshore Mech. Arct. Eng 133(4), 041101 (Apr 07, 2011) (10 pages) doi:10.1115/1.4003057 History: Received September 25, 2007; Revised August 17, 2010; Published April 07, 2011; Online April 07, 2011

It has been proposed that the warm surface-water intake pipes distributed around an OTEC plant can generate adequate momentum to globally position a platform to overcome the second-order drift forces, thereby eliminating the need for additional power for thrusters or for mooring lines. It is evident that if the intake rate of the flow is high, there will be interaction among the locally created steady flow due to the intake, the incoming wave, and the ensuing platform motions. In this work, we address such concerns by developing a linear theory for obtaining the motions (in the presence of incoming waves) of arbitrary 3D bodies from which there is a steady intake/discharge. The boundary-value problem is formulated within the assumption of the linear potential theory by decomposing the total potential into oscillatory and steady components. The steady potential is further decomposed into double-model and perturbation potentials. The time harmonic potential is coupled with the steady potential through the free-surface condition. The potentials are obtained using the quadratic boundary-element method. The effect of the steady flow on hydrodynamic force coefficients and response amplitude operators is studied.

Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Definition of surfaces in the calculation of m-terms

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Figure 2

Fluid domain subdivision for the method of subregions

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Figure 3

Double-model potential, ε=0.003

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Figure 4

Double-model potential, ε=0.007

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Double-model elevation, ε=0.003

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Double-model elevation, ε=0.007

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Added-mass coefficients in surge

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Added-mass coefficients in sway

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Added-mass coefficients in heave

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Added-mass coefficients in roll

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Added-mass coefficients in pitch

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Added-mass coefficients in yaw

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Damping coefficients in surge

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Damping coefficients in sway

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Damping coefficients in heave

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Damping coefficients in roll

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Damping coefficients in pitch

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Damping coefficients in yaw

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Excitation force amplitude in surge, 0 deg wave heading

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Excitation force amplitude in surge, 45 deg wave heading

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Excitation force amplitude in surge, 90 deg wave heading

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Excitation force amplitude in sway, 45 deg wave heading

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Figure 23

Excitation force amplitude in sway, 90 deg wave heading

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Figure 24

Excitation force amplitude in heave, 0 deg wave heading

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Excitation force amplitude in heave, 45 deg wave heading

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Excitation force amplitude in heave, 90deg wave heading

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Excitation moment amplitude in roll, 45 deg wave heading

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Excitation moment amplitude in roll, 90 deg wave heading

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Excitation moment amplitude in pitch, 90 deg wave heading

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Excitation moment amplitude in yaw, 90 deg wave heading

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Figure 34

Surge response amplitudes comparison, 0 deg wave heading

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Figure 39

Response amplitudes in yaw, 90 deg wave heading

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Figure 38

Response amplitudes in pitch, 90 deg wave heading

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Figure 37

Response amplitudes in surge, 90 deg wave heading

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Heave response amplitudes comparison, 0 deg wave heading

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Figure 32

Excitation moment amplitude in yaw, 45 deg wave heading

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Figure 30

Excitation moment amplitude in pitch, 45 deg wave heading

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Figure 29

Excitation moment amplitude in pitch, 0 deg wave heading

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Figure 36

Pitch response amplitudes comparison pitch, 0 deg wave heading

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