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This study numerically investigates reacting fluid fronts, revealing distinct scaling behaviors for fluid velocity and front propagation based on solutal Rayleigh number. Counterrotating convection rolls modify front dynamics, increasing complexity and potentially causing chemical oscillations.

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Area of Science:

  • Fluid Dynamics
  • Chemical Reaction Engineering
  • Nonlinear Dynamics

Background:

  • Investigates reacting fronts in fluid layers with solutal feedback.
  • Considers thermally driven flow fields with counterrotating convection rolls.
  • Examines nonlinear autocatalytic reactions where products are less dense than reactants.

Purpose of the Study:

  • To numerically study the propagation of reacting fronts under varying solutal and thermal driving conditions.
  • To analyze the influence of solutal feedback and convection rolls on front dynamics and geometry.
  • To characterize the scaling laws governing fluid velocity, front velocity, and mixing length.

Main Methods:

  • Numerical solution of the Boussinesq equations.
  • Solving a reaction-convection-diffusion equation for the concentration field.
  • Analysis of fluid velocity, front velocity, mixing length, and front geometry.

Main Results:

  • For low solutal Rayleigh numbers, fluid velocity scales linearly, while front velocity and mixing length scale quadratically.
  • At high solutal Rayleigh numbers, fluid velocity, front velocity, and mixing length exhibit square-root scaling, with self-similar front shapes.
  • Counterrotating convection rolls decrease mixing length and increase front velocity, leading to complex front geometries and potential chemical oscillations.

Conclusions:

  • The study elucidates distinct scaling regimes for reacting front propagation influenced by solutal feedback.
  • Convective rolls significantly alter front dynamics, enhancing complexity and introducing oscillatory behavior.
  • Understanding these spatiotemporal features is crucial for various chemical and physical processes involving reacting flows.