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Flow-driven branching in a frangible porous medium
- Source :
- Physical review letters, vol 125, iss 15, Physical Review Letters
- Publication Year :
- 2020
-
Abstract
- Channel formation and branching is widely seen in physical systems where movement of fluid through a porous structure causes the spatiotemporal evolution of the medium in response to the flow, in turn causing flow pathways to evolve. We provide a simple theoretical framework that embodies this feedback mechanism in a multi-phase model for flow through a fragile porous medium with a dynamic permeability. Numerical simulations of the model show the emergence of branched networks whose topology is determined by the geometry of external flow forcing. This allows us to delineate the conditions under which splitting and/or coalescing branched network formation is favored, with potential implications for both understanding and controlling branching in soft frangible media.<br />5 pages, 4 figures, submitted to Physical Review Letters
- Subjects :
- General Physics
Materials science
Physical system
General Physics and Astronomy
FOS: Physical sciences
Condensed Matter - Soft Condensed Matter
Branching (polymer chemistry)
01 natural sciences
76S05 (Primary) 92C15
Mathematical Sciences
External flow
Engineering
76S05 (Primary) 92C15 (Secondary)
0103 physical sciences
010306 general physics
Porosity
Structure formation and active systems
cond-mat.soft
Fluid Dynamics (physics.flu-dyn)
Mechanics
Physics - Fluid Dynamics
Network formation
Permeability (earth sciences)
physics.flu-dyn
Physical Sciences
Soft Condensed Matter (cond-mat.soft)
Porous medium
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Physical review letters, vol 125, iss 15, Physical Review Letters
- Accession number :
- edsair.doi.dedup.....992ba8dd2a896dd41f235c82c3cad76f