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MS Thesis R. Hager - Hawaii National Marine Renewable Energy ...

MS Thesis R. Hager - Hawaii National Marine Renewable Energy ...

MS Thesis R. Hager - Hawaii National Marine Renewable Energy ...

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NOMENCLATUREA=incident wave amplitudeα +∞ = radiated wave amplitude at positiveinfinity in two dimensionsα -∞ = radiated wave amplitude at negativeinfinity in two dimensionsB =body lengthB ij =damping coefficientC=phase velocityC g =group velocityd=water depthD = draftρ= water densityE=wave energyF=total hydrodynamic forceF D =diffraction forceF I =Froude-Krylov forceF H =hydrostatic forceF R =radiated wave forceF T =total forceF w =excitation forcef ij =complex force coefficientg=gravitational accelerationH=wave heighti 1k=wave numberk ij =hydrostatic stiffnessKE=kinetic energyL=wavelengthλ=maximum power absorption efficiencyM H =hydrostatic momentM T =total momentM W =excitation momentM ij =added-mass coefficientm ij =mass or mass momentn=unit normalη= water surface elevationp T =total fluid pressurep a =atmospheric pressureP max =maximum absorbed powerP w =power flux of wavePE=potential energy of waveP=absorbed wave powerr=moment armS=body surfaceTE=total energy of waveT=wave periodU n =normal velocity of water columnU j =velocity =volumeXi=complex amplitude of the excitationforceW= body widthω=wave frequencyψ=stream functionФ=real part of the complex total wavepotentialФ D = real part of the complex diffractionpotentialФ I = real part of the complex incidentpotentialФ R = real part of the complex radiationpotentialD =spatial part of the complex diffractionpotentialI =spatial part of the complex incidentpotentialR =spatial part of the complex radiationpotential = real part of the complex radiationjpotential in j th modeI =real part of the spatial part of thecomplex incident potentialξ=complex amplitude of body motionζ=normalized frequency9

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