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The role of a second diffusing component on the Gill-Rees stability problem.

B M Shankar1, K V Nagamani2, I S Shivakumara3

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The addition of a solute field can destabilize natural convection in porous layers, introducing new instability modes and criteria. This study explores these effects on the Gill-Rees stability problem.

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Area of Science:

  • Fluid Dynamics
  • Heat and Mass Transfer
  • Porous Media Physics

Background:

  • The Gill-Rees problem investigates natural convection stability in vertical porous layers using a local thermal nonequilibrium model.
  • Previous studies focused on thermal effects, leaving the impact of solute concentration unexplored.

Purpose of the Study:

  • To analyze the influence of an additional solute concentration field on the Gill-Rees stability problem.
  • To uncover novel stability behaviors in double-diffusive convection within porous media.

Main Methods:

  • Numerical solution of the stability eigenvalue problem.
  • Investigation of the local thermal nonequilibrium model with an added solute field.

Main Results:

  • The presence of a solute field can render parallel flow unstable.
  • Connected neutral stability curves forming a loop indicate instability regions requiring dual criteria.
  • Observed changes in instability modes across different parametric spaces.

Conclusions:

  • Solute concentration significantly impacts natural convection stability in porous layers.
  • New stability criteria and phenomena emerge under double-diffusive conditions.
  • The study reveals complex interactions between thermal and solutal transport in porous media.