24 citations · 82 across the 12 of their papers we have counts for
6 papers · 1 filter
Coarsening of thin films with weak condensation
Hangjie Ji, Thomas P. Witelski
A lubrication model can be used to describe the dynamics of a weakly volatile viscous fluid layer on a hydrophobic substrate. Thin layers of the fluid are unstable to perturbations…
Taylor Dispersion in Osmotically Driven Laminar Flow in Phloem
M. Nakad, T. Witelski, J. C. Domec +2
Sucrose is among the main products of photosynthesis that are deemed necessary for plant growth and survival. It is produced in the mesophyll cells of leaves and translocated to di…
Steady-states of thin film droplets on chemically heterogeneous substrates
Weifan Liu, Thomas P. Witelski
We study steady-state thin films on a chemically heterogeneous substrates of finite size, subject to no-flux boundary conditions. Based on the structure of the bifurcation diagram,…
Thermal Marangoni-driven Dynamics of Spinning Liquid Films
Joshua A. Dijksman, Shomeek Mukhopadhyay, Robert P. Behringer +1
Spin coating of thin films of viscous liquids on a rotating substrate is a core technological component of semiconductor microchip fabrication. The thinning dynamics is influenced…
Instability and dynamics of volatile thin films
Hangjie Ji, Thomas P. Witelski
Volatile viscous fluids on partially-wetting solid substrates can exhibit interesting interfacial instabilities and pattern formation. We study the dynamics of vapor condensation a…
Obtaining Self-similar Scalings in Focusing Flows
Joshua A. Dijksman, Shomeek Mukhopadhyay, Cameron Gaebler +2
The surface structure of converging thin fluid films displays self-similar behavior, as was shown in the work by Diez et al [Q. Appl. Math 210, 155, 1990]. Extracting the related s…