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physics.flu-dyn2025
Thin gap approximations for microfluidic device design
Lingyun Ding, Terry Wang, Marcus Roper
Over 125 years ago, Henry Selby Hele-Shaw realized that the depth-averaged flow in thin gap geometries can be closely approximated by two-dimensional (2D) potential flow, in a surp…
physics.flu-dyn2021★ 1 cited
Determinism and invariant measures for diffusing passive scalars advected by unsteady random shear flows
Lingyun. Ding, Richard M. McLaughlin
Here we study the long time behavior of an advection-diffusion equation with a general time varying (including random) shear flow imposing no-flux boundary conditions on channel wa…