Browsing by Author "Martha, S.C."

Algebraic method for approximate solution of scattering of surface waves by thin vertical barrier over a stepped bottom topography

Kumar, N.; Goyal, D.; Martha, S.C. (2022-12-09)

A study on interaction of surface water waves by thin vertical rigid barrier over a step type bottom topography is analysed. The associated mixed boundary value problem is solved using the eigenfunction expansion of the ...

An alternative approach to study nonlinear inviscid flow over arbitrary bottom topography

Panda, S.; Martha, S.C.; Chakrabarti, A. (2016-07-19)

This paper deals with a new approach to study the nonlinear inviscid flow over arbitrary bottom topography. The problem is formulated as a nonlinear boundary value problem which is reduced to a Dirichlet problem using ...

Application of homotopy analysis method and inverse solution of a rectangular wet fin

Panda, S.; Bhowmik, A.; Das, R.; Repaka, R.; Martha, S.C. (2016-08-10)

This paper presents the analytical solution of a rectangular fin under the simultaneous heat and mass transfer across the fin surface and the fin tip, and estimates the unknown thermal and geometrical configurations of the ...

Diffraction of surface water waves by an undulating bed topography in the presence of vertical barrier

Choudhary, A.; Martha, S.C. (2016-07-21)

In this paper, the problem of diffraction of surface water waves by an undulating bed and a vertical barrier is examined. Here, two different barrier configurations are studied, namely, (i) a partially immersed barrier and ...

Effect of a floating permeable plate on the hydroelastic response of a very large floating structure

Singla, S.; Sahoo, T.; Martha, S.C.; Behera, H. (2019-08-23)

The effectiveness of a floating porous plate for mitigating the wave-induced structural response of a very large floating structure is investigated using the eigenfunction expansion method. The analysis is based on ...

Finite-time stability for a class of fractional-order fuzzy neural networks with proportional delay

Tyagi, S.; Martha, S.C. (2020-03-09)

In this paper, we consider a class of fuzzy neural networks of fractional-order and proportional time delay. We derive sufficient conditions for the finite-time stability of the considered system using finite-time stability ...

Identification of design parameters in a solar collector using inverse heat transfer analysis

Panda, S.; Singla, R.K.; Das, R.; Martha, S.C. (2016-08-10)

The present study aims at identifying different materials as well as the feasible locations, where a particular temperature field can be attained using a flat-plate solar collector. The predictions were based upon the ...

Interaction of surface water waves with an elastic plate over an arbitrary bottom topography

Kaur, A.; Martha, S.C. (2022-10-27)

In the present paper, the problem involving the transformation of incident wave energy by floating elastic structure situated at a finite distance from an arbitrary bottom topography is studied. Here, both symmetric and ...

Interaction of water waves with small undulations on a porous bed in a two-layer ice-covered fluid

Panda, S.; Martha, S.C. (2016-11-30)

The scattering problem involving water waves by small undulation on the porous ocean-bed in a two-layer fluid, is investigated within the framework of the two-dimensional linear water wave theory where the upper layer is ...

Linear Algebraic Method of Solution for the Problem of Mitigation of Wave Energy Near Seashore by Trench-Type Bottom Topography

Kaur, A.; Martha, S.C.; Chakrabarti, A. (2020-12-11)

The problem involving mitigation of wave energy by trench-type structure, in particular, a pair of trenches imposed on the seabed in the absence and presence of a vertical wall, is examined for its solution. The problem ...

Mathematical modeling and analysis for controlling the spread of infectious diseases

Tyagi, S.; Martha, S.C.; Abbas, S.; Debbouche, A. (2021-02-22)

In this work, we present and discuss the approaches, that are used for modeling and surveillance of dynamics of infectious diseases by considering the early stage asymptomatic and later stage symptomatic infections. We ...

Methods of solution of singular integral equations

Chakrabarti, A.; Martha, S.C. (2022-09-09)

Purpose: This paper investigates a different method to evaluate different real improper integrals and also to obtain the solutions of various types of Cauchy-type singular integral equations of the first kind. Methods: ...

Mitigation of structural responses of a very large floating structure in the presence of vertical porous barrier

Singla, S.; Martha, S.C.; Sahoo, T. (2018-12-28)

The effectiveness of partial vertical permeable barriers of three different configurations located at a finite distance from a very large floating structure is analyzed for mitigating the wave-induced response of the ...

A modified approach to numerical solution of Fredholm integral equations of the second kind

Panda, S.; Martha, S.C.; Chakrabarti, A. (2016-11-17)

A modified approach to obtain approximate numerical solutions of Fredholm integral equations of the second kind is presented. The error bound is explained by the aid of several illustrative examples. In each example, the ...

Modified Method for the Solution of Dual Trigonometric Series Relations

Choudhary, A.; Martha, S.C.; Chakrabart, A. (2020-12-15)

Two basic dual trigonometric series relations involving a countable infinite number of unknowns are considered for the determination of the unknowns. The numerical values of the unknowns are determined with the help ...

On the scattering and radiation of water waves by a finite dock floating over a rectangular trench

Choudhary, A.; Trivedi, K.; Koley, S.; Martha, S.C. (2022-05-04)

In this study, the scattering and radiation of surface water waves by a finite dock floating over an asymmetric rectangular trench-type bottom topography are analyzed. The boundary value problems are handled for solutions ...

Reduction of wave impact on seashore as well as seawall by floating structure and bottom topography

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

The three-dimensional problem involving diffraction of water wave by a finite floating rigid dock over an arbitrary bottom is studied for two cases (1) in the absence of wall (2) in the presence of wall. The problem is ...

Scattering of oblique surface water waves by thin vertical barrier over undulating bed topography

Choudhary, A.; Martha, S.C. (2017-05-19)

The present study deals with the scattering of oblique surface water waves by small undulation on the bottom in the presence of a thin vertical barrier. Here, three different configurations of vertical barriers are ...

Scattering of obliquely incident water waves by a surface-piercing porous box

Singla, S.; Behera, H.; Martha, S.C.; Sahoo, T. (2019-11-25)

We investigate the scattering of obliquely incident water waves by a surface-piercing porous box in finite depth of fluid. The physical problem is modelled based on the small amplitude water wave theory and Darcy’s law ...

Scattering of water waves by very large floating structure in the presence of a porous box

Singla, S.; Behera, H.; Martha, S.C.; Sahoo, T. (2022-07-26)

We investigate the effectiveness of a porous box in attenuating the structural response of a very large floating structure (VLFS). Assuming the water depth to be finite and small amplitude water wave theory, the physical ...

Browsing by Author "Martha, S.C."

Browsing by Author "Martha, S.C."

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