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March 25, 2026The Quarterly Journal of Mechanics and Applied Mathematics

Penetrative Convection in a Fluid Overlying a Highly Porous Material

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Authors

PMP K MouryaBMBhakti Bhusan MannaPNP A L Narayana

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Overview

Analysis of penetrative convection effects in porous materials shows unstable conditions in fluids due to heat variations.

Key Points

  • The research investigates the stability of penetrative convection in a fluid layer overlying a porous medium with internal heat effects.
  • Employs linear stability analysis using normal mode approach
  • Utilizes nonlinear stability analysis through energy method
  • Analyzes two-layer system with varying temperature conditions
  • Explores the impact of internal heat sources and thermal properties on stability
  • Identifies regions of subcritical instability in the system
  • Finds destabilizing effects of internal heat sources in both layers
  • Demonstrates that temperature differences affect the flow stability
  • Reveals that higher thermal diffusivity and porosity enhance instability

Cite This Study

Mourya et al. (2026) studied this question.

synapsesocial.com/papers/69c37ba2b34aaaeb1a67e2efhttps://doi.org/10.1093/qjmam/hbag004
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