109 citations · 657 across the 18 of their papers we have counts for
5 papers · 1 filter
Continuous Time Random Walks for Non-Local Radial Solute Transport
Marco Dentz, Peter K. Kang, Tanguy le Borgne
This paper derives and analyzes continuous time random walk (CTRW) models in radial flow geometries for the quantification of non-local solute transport induced by heterogeneous fl…
Continuous Time Random Walks for the Evolution of Lagrangian Velocities
Marco Dentz, Peter K. Kang, Alessandro Comolli +2
We develop a continuous time random walk (CTRW) approach for the evolution of Lagrangian velocities in steady heterogeneous flows based on a stochastic relaxation process for the s…
The Lagrangian Deformation Structure of Three-Dimensional Steady Flow
Daniel R. Lester, Marco Dentz, Tanguy Le Borgne +1
Fluid deformation and strain history are central to wide range of fluid mechanical phenomena ranging from fluid mixing and particle transport to stress development in complex fluid…
Chaotic Mixing in Three Dimensional Porous Media
Daniel R. Lester, Marco Dentz, Tanguy Le Borgne
Under steady flow conditions, the topological complexity inherent to all random 3D porous media imparts complicated flow and transport dynamics. It has been established that this c…
Fluid Stretching as a Levy Process
Marco Dentz, Daniel R. Lester, Tanguy Le Borgne +1
We study the relation between flow structure and fluid deformation in steady two-dimensional random flows. Beyond the linear (shear flow) and exponential (chaotic flow) elongation…