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Updated: Aug 7, 2026

Permeabilization of Adhered Cells Using an Inert Gas Jet
Published on: September 4, 2013
Inertially driven buckling and overturning of jets in a Hele-Shaw cell
Adriana I Pesci1, Martin A Porter, Raymond E Goldstein
1Department of Physics and Program in Applied Mathematics, University of Arizona, Tucson, AZ 85721, USA.
Abstract:
We study a fluid jet descending through stratified surroundings at low Reynolds number in Hele-Shaw flow. The jet buckles and overturns inside a conduit of entrained fluid which supports smooth or unstable traveling waves. A model of the recirculating flow within the conduit shows that buckling and waves arise from Kelvin-Helmholtz instabilities and quantitatively accounts for the main experimental observations. Beyond the onset of the instability, a damped, forced Burgers' equation obtained from corrections to Darcy's law for small Reynolds number governs the interface dynamics and supports singularities corresponding to the observed jet overturning and unstable waves.
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