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Research Article

Role of topographical disturbances on hydroelastic response of a floating membrane over a slippery bottom

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Received 14 Oct 2023, Accepted 08 Apr 2024, Published online: 23 Apr 2024

References

  • Terazawa K. On deep-sea water waves caused by a local disturbance on or beneath the surface. Proc R Soc London. Ser A, Containing Papers of a Mathematical and Physical Character. 1915;92(635):57–81.
  • Lamb H. Hydrodynamics. New York: Dover; 1947.
  • Stoker JJ. Water waves: the mathematical theory with applications. New York: Interscience Publishers Inc.; 1957.
  • Mei CC. The applied dynamics of ocean surface waves. Vol. 1. New York: World Scientific, Wiley; 1989.
  • Nikitin AK, Podrezov SA. On the spatial problem of waves on the surface of a viscous fluid of infinite depth. J Appl Math Mech. 1964;28(3):556–569. doi: 10.1016/0021-8928(64)90097-8
  • Cherkesov LV. Three-dimensional cauchy-poisson problem for waves in a viscous fluid. J Appl Math Mech. 1965;29(6):1337–1345. doi: 10.1016/0021-8928(65)90022-5
  • Debnath L, Bagchi KK, Mukherjee S. Capillary-gravity waves in a viscous fluid. Acta Mech. 1977;28(1):313–319. doi: 10.1007/BF01208805
  • Pramanik AK, Majumdar SR. Capillary-gravity waves generated in a viscous fluid. Phys Fluids. 1985;28(1):46–51. doi: 10.1063/1.865124
  • Kundu P, Mandal BN. Generation of waves due to bottom disturbances in a viscous fluid. Geophys Astrophys Fluid Dyn. 2022;116(2):122–139. doi: 10.1080/03091929.2021.1987427
  • Maiti P, Mandal BN. Waves generated by bottom disturbance in an ice-covered ocean. Int J Appl Mech Eng. 2007;12(2):477–486.
  • Grue J, Trulsen K. Waves in geophysical fluids: tsunamis, rogue waves, internal waves and internal tides, Vol. 489. New York: Springer Science & Business Media; 2007.
  • Chakraborty R, Mandal BN. Water waves generated by instantaneous disturbances at the bed of a sloping beach. Geophys Astrophys Fluid Dyn. 2013;107(5):481–496. doi: 10.1080/03091929.2012.732574
  • Nersisyan H, Dutykh D, Zuazua E. Generation of 2d water waves by moving bottom disturbances. IMA J Appl Math. 2015;80(4):1235–1253. doi: 10.1093/imamat/hxu051
  • Mohapatra SC, Karmakar D, Sahoo T. On capillary gravity-wave motion in two-layer fluids. J Eng Math. 2011;71:253–277. doi: 10.1007/s10665-011-9451-y
  • Karmakar D, Sahoo T. Gravity wave interaction with floating membrane due to abrupt change in water depth. Ocean Eng. 2008;35(7):598–615. doi: 10.1016/j.oceaneng.2008.01.009
  • Karmakar D, Sahoo T. Wave interaction with semi-infinite floating membrane. In: The 17th International Offshore and Polar Engineering Conference; Lisbon, Portugal; 2007.
  • Sani M, Ghosh S, Behera H. Effect of a floating elastic membrane for stabilizing the film flow down a porous inclined plane. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik. 2021;101(2):e201900246. doi: 10.1002/zamm.v101.2
  • Gayen R, Islam N. Effect of a floating elastic plate/membrane on the motion due to a ring source in water with porous bed. Indian J Pure Appl Math. 2018;49:239–256. doi: 10.1007/s13226-018-0266-7
  • Singh M, Gayen R. Scattering of linear gravity-capillary waves by a completely submerged vertical porous elastic plate. Waves Random Complex Media. 2022;1–21. doi: 10.1080/17455030.2022.2120220
  • Pascal JP. Linear stability of fluid flow down a porous inclined plane. J Phys D: Appl Phys. 1999;32(4):417. doi: 10.1088/0022-3727/32/4/011
  • Navier CLMH. Mémoire sur les lois du mouvement des fluides. Mémoires de l'Académie Royale des Sciences de l'Institut de France. 1823;6(1823):389–440.
  • Beavers GS, Joseph DD. Boundary conditions at a naturally permeable wall. J Fluid Mech. 1967;30(1):197–207. doi: 10.1017/S0022112067001375
  • Mohammed Rizwan Sadiq I, Usha R. Thin newtonian film flow down a porous inclined plane: stability analysis. Phys Fluids. 2008;20(2):022105. doi: 10.1063/1.2841363
  • Ghosh S, Usha R. Stability of viscosity stratified flows down an incline: role of miscibility and wall slip. Phys Fluids. 2016;28(10):104101. doi: 10.1063/1.4964118
  • Sani M, Selvan SA, Ghosh S, et al. Effect of imposed shear on the dynamics of a contaminated two-layer film flow down a slippery incline. Phys Fluids. 2020;32(10):102113. doi: 10.1063/5.0024201
  • Mouzakkir Hossain MD, Behera H. Shear-imposed falling thin newtonian film over a porous slippery surface. Phys Fluids. 2022;34(11):114124. doi: 10.1063/5.0120882
  • Jeffreys H, Lapwood ER. The reflexion of a pulse within a sphere. Proc R Soc Lond A Math Phys Sci. 1957;241(1227):455–479.
  • Kundu P, Chatterjee J, Banerjea S, et al. Waves generated on running stream due to a disturbance on sea bed. Int J Appl Comput Math. 2020;6(2):1–17. doi: 10.1007/s40819-020-0793-x

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