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PreprintarXiv licencearXiv

Interfacial waves from pressure forcing: role of the transients

  • Vinod Kumar Kadari
  • Nikhil Yewale
  • Palas Kumar Farsoiya
  • Y. S. Mayya
  • Ratul Dasgupta
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Abstract

A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem formulation within the linearised, inviscid, potential flow framework. The steady-state interface exhibits short capillary waves ahead of the forcing and long gravity waves behind it, arising from an asymmetric cancellation of Fourier components in the far field. The time-dependent part of the solution, decaying algebraically with time, plays a crucial role in this mechanism. This contrasts with classical steady approaches, which require additional conditions to select a unique solution. We extend this approach to a two-fluid interface and validate the predictions against nonlinear simulations.

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Cite

BibTeXRIS
BibTeX
@misc{kadari2026interfacial,
  title = {{Interfacial waves from pressure forcing: role of the transients}},
  author = {Vinod Kumar Kadari and Nikhil Yewale and Palas Kumar Farsoiya and Y. S. Mayya and Ratul Dasgupta},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.12254},
  eprint = {2605.12254},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.12254},
}
RIS
TY  - UNPB
TI  - Interfacial waves from pressure forcing: role of the transients
AU  - Vinod Kumar Kadari
AU  - Nikhil Yewale
AU  - Palas Kumar Farsoiya
AU  - Y. S. Mayya
AU  - Ratul Dasgupta
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2605.12254
UR  - https://arxiv.org/abs/2605.12254
AB  - A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem formulation within the linearised, inviscid, potential flow framework. The steady-state interface exhibits short capillary waves ahead of the forcing and long gravity waves behind it, arising from an asymmetric cancellation of Fourier components in the far field. The time-dependent part of the solution, decaying algebraically with time, plays a crucial role in this mechanism. This contrasts with classical steady approaches, which require additional conditions to select a unique solution. We extend this approach to a two-fluid interface and validate the predictions against nonlinear simulations.
ER  -