Scattering of water waves by a wave energy device consisting of a pair of co-axial cylinders in a uniform water having finite channel width

Borah, Pankaj; Hassan, Mohammad

doi:10.1016/j.joes.2021.01.004

Cited by 10 publications

(2 citation statements)

References 24 publications

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“…In [2], Bhatta and Rahman (2003) provide a mathematical technique to derive velocity potentials for exterior and interior region due to scattering and radiation by a circular cylinder. In [3,4], Borah and Hassan (2019) proposed the problem of diffraction by a pair of cylinders in a channel and solved the problem based on multipoles expansion method. In [5], Butler and Thomas (1993) used Boundary Element Method (BEM) to derive the potentials representation of diffracted wave field generated by an array of cylinders placed in a channel.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic Forces due to Waves Loads on a Submerged Composite Cylindrical Structure in Water

Borah,

Hassan,

Anh

et al. 2024

Preprint

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In the present study, we consider a submerged composite geometrical shape which contains two cylindrical plates in water of finite depth. The present problem of diffraction by 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 find the wave forces and overturning moment of the cylinders due to diffraction. Also, the theoretical results are present graphically for various parameters of the proposed geometrical structure. And we have seen significant effect on vertical force for different values of the radii of the cylindrical plate. More spike behaviour have been observed for horizontal force rather than vertical force and moment on the structure. Also, a graphical comparison have been done in between the present study and result given by Yao et al. (2015), which gives the accuracy of our results.

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Section: Introductionmentioning

confidence: 99%

Hydrodynamic Forces due to Waves Loads on a Submerged Composite Cylindrical Structure in Water

Borah,

Hassan,

Anh

et al. 2024

Preprint

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“…Tzeng (2006) investigated the local heat transfer of a co-axial rotating cylinder experimentally, and their results revealed that the rotational Re number increases with the heat transfer coefficient distributions. Borah and Hassan (2021) developed the interaction of linear water waves. They investigated the wave forces exerted on the proposed device and observed a small oscillation nature near the peak value of the exciting force.…”

Section: Introductionmentioning

confidence: 99%

Natural convection process endorsed in coaxial duct with Soret/Dufour effect

Shah

Öztop

Haq

et al. 2022

HFF

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Purpose The purpose of this paper is to analyse the buoyancy flow, mass and heat transfer in coaxial duct under Soret and Dufour effect. The combined effects of the thermal-diffusion and diffusion-thermo coefficients, as well as the Schmidt number, on natural convection in a heated lower coaxial curve were explored using the proposed physical model. The Dufour and Soret effects are taken into consideration in the energy and concentration equations, respectively. Design/methodology/approach The dominating mathematical models are converted into a set of non-linear coupled partial differential equations, which are solved using a numerical approach. The controlling non-linear boundary value problem is numerically solved using the penalty finite element method with Galerkin’s weighted residual scheme over the entire variety of essential parameters. Findings It was observed that different parameters were tested such as heat generation or absorption coefficient, buoyancy ratio, Soret coefficient, Dufour coefficient, Lewis number and Rayleigh number. Effect of Rayleigh number, absorption/generation and Dufour coefficient on isotherm are significantly reported. For greater values of Lewis number, maximum mass transfer in duct in the form of molecular particles is produced. Buoyancy ratio parameter decreases the average rate of heat flow and increases its mass transfer. Originality/value The main originality of this work is to make an application of Soret and Dufour effects in a coaxial duct in the presence of source sink.

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Surge Hydrodynamic Coefficients Due to a Floating Cylindrical Structure in Presence of a Bottom-Mounted Circular Plate in a Channel of Finite Depth

Hassan

Borah

2022

Int. J. Appl. Comput. Math

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Scattering of water waves by a wave energy device consisting of a pair of co-axial cylinders in a uniform water having finite channel width

Cited by 10 publications

References 24 publications

Hydrodynamic Forces due to Waves Loads on a Submerged Composite Cylindrical Structure in Water

Hydrodynamic Forces due to Waves Loads on a Submerged Composite Cylindrical Structure in Water

Natural convection process endorsed in coaxial duct with Soret/Dufour effect

Surge Hydrodynamic Coefficients Due to a Floating Cylindrical Structure in Presence of a Bottom-Mounted Circular Plate in a Channel of Finite Depth

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