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November 1, 2025Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

Can porous vertical penetrative convection become linearly unstable?

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Authors

BSB.M. ShankarISI. S. Shivakumara

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Overview

Analysis reveals that easing impermeability leads to instability in buoyancy-driven parallel flow, indicating critical thresholds in porous media.

Key Points

  • Instability occurs as impermeability conditions are relaxed in buoyancy-driven parallel flow, with critical thresholds identified.
  • The critical Darcy–Rayleigh number approaches a minimum threshold of approximately 908.9492 as boundaries become fully permeable.
  • A numerical eigenvalue problem was solved to assess the stability of the base flow under varying boundary conditions.
  • Findings highlight the important, although non-triggering, role of density maximum on flow stability in porous media.

Cite This Study

Shankar et al. (2025) studied this question.

synapsesocial.com/papers/6925436cc0ce034ddc35877chttps://doi.org/10.1098/rspa.2025.0686
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