Effect of Porous Uneven Seabed on a Water-Wave Diffraction Problem

  • Manas Ranjan Sarangi
  • Smrutiranjan Mohapatra
Conference paper
Part of the Trends in Mathematics book series (TM)


Utilizing the linearized wave theory, the issue of the diffraction of obliquely progressive waves by a little contortion on a porous sea-bed is investigated. By the help of perturbation hypothesis, the related problem is diminished to a boundary value problem (BVP) for the first-order velocity potential function. Then the first-order potential function and, henceforth, the first-order reflection as well as transmission coefficients are evaluated by Fourier transform technique. A particular frame of sinusoidal ripples has been considered for verifying the theoretical results.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Manas Ranjan Sarangi
    • 1
  • Smrutiranjan Mohapatra
    • 1
  1. 1.VSS University of TechnologyBurlaIndia

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