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Steady Flow of a Fluid Stream01:27

Steady Flow of a Fluid Stream

Consider a control volume, such as a pipe with solid boundaries, through which fluid flows and changes direction due to the impulse exerted by the resulting force from the pipe walls. In steady flow, the mass of fluid entering the control volume at a given time, t, with velocity v1, is equal to the mass leaving after infinitesimal time dt, with velocity v2.
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The Diffusion of Passive Tracers in Laminar Shear Flow
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Published on: May 1, 2018

Robustness and stability of flow-and-diffusion structures.

David G Míguez1, Gonzalo G Izús, Alberto P Muñuzuri

  • 1Chemistry Department, Brandeis University, Waltham, Massachusetts 02454, USA. miguez@brandeis.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 21, 2006
PubMed
Summary
This summary is machine-generated.

Flow-and-diffusion structures (FDSs) are robust pattern formation mechanisms in reaction-diffusion-advection systems. This study experimentally and numerically analyzes FDS robustness using varied illumination boundary profiles, revealing key interaction characteristics.

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Area of Science:

  • Pattern formation in reaction-diffusion-advection systems.
  • Physics and chemistry of complex systems.
  • Nonlinear dynamics and emergent phenomena.

Background:

  • Reaction-diffusion-advection systems exhibit diverse pattern formation mechanisms.
  • Flow-and-diffusion structures (FDSs) generalize spatial symmetry breaking for varying diffusion and flow rates.
  • Recent experimental validation highlights FDSs as a key research area.

Purpose of the Study:

  • To experimentally and numerically analyze the robustness of theoretically predicted flow-and-diffusion structures (FDSs).
  • To investigate the impact of different boundary profiles of illumination on FDS formation and stability.
  • To characterize the coexistence and interaction dynamics of FDSs under varying conditions.

Main Methods:

  • Experimental analysis of FDSs using controlled illumination boundary profiles.
  • Numerical simulations to model FDS behavior and robustness.
  • Comparative study of theoretical predictions against experimental and numerical results.

Main Results:

  • Demonstrated the robustness of flow-and-diffusion structures (FDSs) under varied illumination boundary conditions.
  • Revealed important characteristics of FDS coexistence and interaction.
  • Validated theoretical predictions of FDS robustness through experimental and numerical evidence.

Conclusions:

  • Flow-and-diffusion structures (FDSs) exhibit significant robustness, confirming theoretical predictions.
  • Illumination boundary profiles play a crucial role in FDS formation and interaction.
  • The study provides insights into the complex dynamics governing pattern formation in reaction-diffusion-advection systems.