Hydroelastic analysis of gravity wave interaction with submerged horizontal flexible porous plate

Behera, Harekrushna; Sahoo, T.

doi:10.1016/j.jfluidstructs.2015.01.005

Cited by 81 publications

(32 citation statements)

References 25 publications

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“…Since the real part of the wavenumber is related to the propagating part of the perturbation, the latter inequality means that σ 1 and σ 0 correspond, respectively, to short-and long-crested waves (see again figure 4). This does not happen in the flexible plate case of [24] and in the porous plate case of [27], where the two wavenumbers are comparable. Therefore, the occurrence of a coupled system of short-and long-crested weakly damped progressive waves that propagate in the plate region is a distinctive feature of the submerged piezoelectric plate.…”

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

“…These modes physically describe evanescent waves. Such a physical picture is reminiscent of that of submerged breakwater porous structures, see [26,27]. Indeed, mathematically the piezoelectric term in (3.37) has a similar role as the porouseffect parameter of [27].…”

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

“…The boundary-value problem (3.20)-(3.24) is now well-posed, as it consists of the governing partial differential equation (3.20) and appropriate conditions at each of the physical boundaries of the system. To find the solution, we follow [24,27] and split the fluid domain into four different areas, as shown in figure 3. The matching conditions at the common boundaries of the four domains are 29) where the φ i denote the potential φ in each area i = 1, 2, 3, 4.…”

Section: Solution Of the Coupled Systemmentioning

confidence: 99%

“…The numerical values of the complex roots shown in figure 4 are reported in table 1. As for the submerged elastic plate, there are still two roots in the complex plane, which we name σ −2 and σ −1 , following [24,27]. These roots correspond to non-propagating modes, as discussed by Behera & Sahoo [27].…”

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

“…Such a physical picture is reminiscent of that of submerged breakwater porous structures, see [26,27]. Indeed, mathematically the piezoelectric term in (3.37) has a similar role as the porouseffect parameter of [27]. However, the similarity is only formal, because of the substantially different nature and magnitude of such terms.…”

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

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Hydroelectromechanical modelling of a piezoelectric wave energy converter

Renzi¹

2016

Proc. R. Soc. A.

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We investigate the hydroelectromechanical-coupled dynamics of a piezoelectric wave energy converter. The converter is made of a flexible bimorph plate, clamped at its ends and forced to motion by incident ocean surface waves. The piezoceramic layers are connected in series and transform the elastic motion of the plate into useful electricity by means of the piezoelectric effect. By using a distributed-parameter analytical approach, we couple the linear piezoelectric constitutive equations for the plate with the potential-flow equations for the surface water waves. The resulting system of governing partial differential equations yields a new hydroelectromechanical dispersion relation, whose complex roots are determined with a numerical approach. The effect of the piezoelectric coupling in the hydroelastic domain generates a system of short- and long-crested weakly damped progressive waves travelling along the plate. We show that the short-crested flexural wave component gives a dominant contribution to the generated power. We determine the hydroelectromechanical resonant periods of the device, at which the power output is significant.

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Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

Section: Solution Of the Coupled Systemmentioning

confidence: 99%

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

Section: (C) Properties Of the Hydro-electromechanical Dispersion Relmentioning

confidence: 99%

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Hydroelectromechanical modelling of a piezoelectric wave energy converter

Renzi¹

2016

Proc. R. Soc. A.

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Effect of a floating elastic membrane for stabilizing the film flow down a porous inclined plane

2020

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The effect of a floating elastic membrane on a gravity‐driven flow down an inclined porous plane is examined. The present work extends the earlier work of Anjalaiah et al. [Phys. Fluid, Vol. 25, 022101 (2013)] by including the thin membrane and excluding the insoluble surfactant at the top surface of the flow. The membrane tension emergence from the elasticity, is used to monitoring the surface tension on the top surface of the fluid layer. The fluid flow below the elastic membrane is governed by the Navier–Stokes equations and flow through the porous medium is governed by the Darcy–Brickmann equations. Using the normal mode analysis, two Orr–Sommerfeld systems are derived for each layers and solved by using the spectral collocation method to capture the linear instability. Further, the temporal growth rate and marginal stability curve are analyzed for different set of structural parameters. In general, the instability of free surface flow is more due to the presence of the unstable Yih mode. Both, the membrane tension and the uniform mass distribution rate along the length of the membrane assure to stabilize the surface waves by lowering the temporal growth rate of the disturbances. Consequently, the floating elastic membrane and the porosity of the inclined substrate pretend to suppress the unstable Yih mode and stabilize the flow anatomy. Hence, the floating elastic membrane can be disposed for the lethargic control of the free‐surface flows' instability.

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