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Browsing by Author "Martha, S. C."

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An algebraic method of solution of a water wave scattering problem involving an asymmetrical trench

Kaur, A.; Martha, S. C.; Chakrabarti, A. (2021-07-06)

The problem of propagation of obliquely incident surface water waves involving an asymmetric rectangular trench in a channel of finite depth is examined for its solution. The problem under consideration leads to multiple ...
Approximate solutions of some problems of scattering of surface water waves by vertical barriers

Choudhary, A.; Martha, S. C. (2021-10-10)

A class of mixed boundary value problems (bvps), occurring in the study of scattering of surface water waves by thin vertical rigid barriers placed in water of finite depth, is examined for their approximate solutions. ...
Coupled eigenfunction expansion–boundary element method for wave scattering by thick vertical barrier over an arbitrary seabed

Choudhary, A.; Koley, S.; Martha, S. C. (2021-08-02)

Wave structure interaction problem having thick vertical barrier over an arbitrary seabed is analysed for its solution. The associated boundary value problem is handled using a coupled eigenfunction expansion–boundary ...
Dissipation of Incident Wave Energy by Two Submerged Horizontal Porous Plates Over a Pair of Trenches

Choudhary, S; Martha, S. C. (2024-05-17)

Abstract: In this paper, the interaction of oblique water waves by two non-uniform submerged horizontal porous plates in the presence of a pair of trenches is analyzed towards the study of effective breakwater. The problem ...
Eigenfunction expansion method for water wave scattering by small undulation

Martha, S. C.; Bora, S. N.; Chakrabarti, A. (2021-09-16)

The problem involving the scattering of surface water waves by small undulation of a sea-bed has been solved completely, by utilizing the eigenfunction expansion method leading to the mathematical problem of solving ov ...
Inverse analysis of conductive-convective wet triangular fin for predicting thermal properties and fin dimensions

Bhowmik, A.; Panda, S.; Das, R.; Repaka, R.; Martha, S. C. (2021-09-23)

The present work deals with the application of Homotopy Analysis Method (HAM) in conjunction with Nelder–Mead simplex search method (SSM) to study a triangular wet fin. At first, analytical expression has been derived using ...
Oblique wave scattering by undulating porous bottom in a two-layer fluid: fourier transform approach

Panda, S.; Martha, S. C. (2021-09-23)

The problem involving scattering of oblique waves by small undulation on the porous ocean bed in a two-layer fluid is investigated within the framework of linearised theory of water waves where the upper layer is free ...
Scattering of oblique water waves by thick porous structure and thin elastic plate

Sahoo, G.; Singla, S.; Martha, S. C. (2022-04-27)

The present study deals with the usefulness of the partial porous structure of finite width placed at a finite distance from the elastic plate to mitigate the hydrodynamic response of the elastic plate. Two different ...
Three-Layer fluid flow over a small obstruction on the bottom of a channel

Panda, S.; Martha, S. C. (2021-09-27)

Many boundary value problems occur in a natural way while studying fluid flow problems in a channel. The solutions of two such boundary value problems are obtained and analysed in the context of flow problems involving ...

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