Display options
Cite
Dentz M, Lester DR, Le Borgne T, et al. Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media. Phys Rev E. 2016;94(6):061102doi: 10.1103/PhysRevE.94.061102.
Dentz, M., Lester, D. R., Le Borgne, T., & de Barros, F. P. (2016). Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media. Physical review. E, 94(6), 061102. https://doi.org/10.1103/PhysRevE.94.061102
Dentz, Marco, et al. "Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media." Physical review. E vol. 94,6 (2016): 061102. doi: https://doi.org/10.1103/PhysRevE.94.061102
Dentz M, Lester DR, Le Borgne T, de Barros FP. Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media. Phys Rev E. 2016 Dec;94(6):061102. doi: 10.1103/PhysRevE.94.061102. Epub 2016 Dec 27. PMID: 28085355.
Copy Download .nbib Format: NLM
Share it on

Phys Rev E. 2016 Dec;94(6):061102. doi: 10.1103/PhysRevE.94.061102. Epub 2016 Dec 27.

Coupled continuous-time random walks for fluid stretching in two-dimensional heterogeneous media.

Physical review. E

Marco Dentz, Daniel R Lester, Tanguy Le Borgne, Felipe P J de Barros

Affiliations

  1. Spanish National Research Council (IDAEA-CSIC), 08034 Barcelona, Spain.
  2. School of Engineering, RMIT University, 3000 Melbourne, Victoria, Australia.
  3. Geosciences Rennes, UMR 6118, Université de Rennes 1, CNRS, Rennes, France.
  4. Sonny Astani Department of Civil and Environmental Engineering, University of Southern California, 3620 South Vermont Avenue, KAP 224B, Los Angeles, California 90089, USA.

PMID: 28085355 DOI: 10.1103/PhysRevE.94.061102

Abstract

We study the relation between flow structure and fluid deformation in steady flows through two-dimensional heterogeneous media, which are characterized by a broad spectrum of stretching behaviors, ranging from sub- to superlinear. We analyze these behaviors from first principles, which uncovers intermittent shear events to be at the origin of subexponential stretching. We derive explicit expressions for Lagrangian deformation and demonstrate that stretching obeys a coupled continuous-time random walk, which for broad distributions of flow velocities becomes a Lévy walk. The derived model provides a direct link between the flow and deformation statistics, and a natural way to quantify the impact of intermittent shear events on the stretching behavior.

Publication Types