Skip to main content

Interaction of Oblique Waves by Base Distortion on a Permeable Bed in an Ice-Covered Sea

  • Conference paper
  • First Online:
Book cover Advances in Fluid Dynamics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

  • 845 Accesses

Abstract

The problem involving diffraction of oblique water waves by a little base distortion over permeable sea-bed is investigated in this paper. The top surface of the sea is covered by a lean uniform ice-sheet, where the base of the sea is of permeable type with a little base distortion. The problem is solved by utilizing the Fourier transform method and the 1st-order correction of the reflection and transmission coefficients are calculated. Here, two special kinds of base distortion are taken to calculate the aforesaid coefficients. The values of both reflection and transmission coefficients acquired in this paper are obtained to fulfill the energy identity almost precisely.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Balmforth NJ, Craster RV (1999) Ocean waves and ice-sheets. J Fluid Mech 395:89–124

    Article  MathSciNet  Google Scholar 

  2. Chakrabarti A (2000) On the solution of the problem of scattering of surface-water waves by the edge of an ice-cover. Proc R Soc Lond A 456:1087–1099

    Article  MathSciNet  Google Scholar 

  3. Chakrabarti A, Mohapatra S (2013) Scattering of surface water waves involving semiinfinite floating elastic plates on water of finite depth. J Mar Sci Appl 12:325–333

    Article  Google Scholar 

  4. Porter D, Porter R (2004) Approximations to wave scattering by an ice sheet of variable thickness over undulating topography. J Fluid Mech 509:145–179

    Article  MathSciNet  Google Scholar 

  5. Davies AG (1982) The reflection of wave energy by undulations of the sea bed. Dyn Atmosp Oceans 6:207–232

    Article  Google Scholar 

  6. Linton CM, Chung H (2003) Reflection and transmission at the ocean/sea-ice boundary. Wave Motion 38:43–52

    Article  MathSciNet  Google Scholar 

  7. Gu Z, Wang H (1991) Gravity waves over porous bottoms. Coastal Eng 15:497–524

    Article  Google Scholar 

  8. Jeng DS (2001) Wave dispersion equation in a porous seabed. Coastal Eng 28:1585–1599

    Google Scholar 

  9. Mohapatra S (2014) Scattering of surface waves by the edge of a small undulation on a porous bed in an ocean with ice-cover. J Marine Sci Appl 13:167–172

    Article  Google Scholar 

  10. Mohapatra S (2016) The interaction of oblique flexural gravity waves with a small bottom deformation on a porous ocean-bed: green’s function approach. J Marine Sci Appl 15:112–122

    Article  Google Scholar 

  11. Mohapatra S, Sarangi MR (2017) A note on the solution of water wave scattering problem involving small deformation on a porous channel-bed. J Marine Sci Appl 16:10–19

    Article  Google Scholar 

  12. Mohapatra S (2017) The effect of free-surface tension on scattering of water waves by small bottom undulation. ANZIAM J 58:39–80

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Khuntia .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Khuntia, S., Mohapatra, S. (2021). Interaction of Oblique Waves by Base Distortion on a Permeable Bed in an Ice-Covered Sea. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_25

Download citation

  • DOI: https://doi.org/10.1007/978-981-15-4308-1_25

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics