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February 20, 2026Heat Transfer

Linear Instability of Penetrative Double‐Diffusive Convection in a Darcy–Brinkman–Kelvin–Voigt Fluid‐Saturated Porous Medium: A Numerical Study

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Authors

MDMelkunte Shanthaiah DhananjayaSSangameshKRK. R. Raghunatha

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Overview

Numerical study analyzes the instability in double-diffusive convection, indicating key influences on onset conditions.

Key Points

  • The study aims to analyze the linear instability of penetrative double-diffusive convection in viscoelastic fluid-saturated porous media.
  • Performed a linear stability analysis using a generalized eigenvalue problem approach.
  • Applied the Galerkin method for numerical solution.
  • Examined three velocity boundary configurations: rigid–rigid, rigid–free, and free–free.
  • Identified two distinct instability regimes: stationary and oscillatory modes.
  • Stationary mode is unaffected by the Voigt viscoelastic parameter.
  • Oscillatory mode is significantly influenced by viscoelasticity and internal heat generation, increasing critical thermal thresholds.

Cite This Study

Dhananjaya et al. (2026) studied this question.

synapsesocial.com/papers/6997fa5aad1d9b11b3453893https://doi.org/10.1002/htj.70213
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1On the Stability of Triple-Diffusive Convection in a Voigt Fluid-Saturated Darcy–Brinkman Porous Medium2026
  2. 2Double-diffusive convection in a Darcy–Brinkman porous layer with higher-order thermal and solutal diffusion2026 · 3 citations
  3. 3Penetrative Convection in a Fluid Overlying a Highly Porous Material2026
  4. 4Linear stability of buoyant convection in horizontally heated porous layers2025
  5. 5Thermal convection in a Brinkman–Darcy and Kelvin–Voigt fluid of order one with coupled stresses effect2024 · 3 citations