Bulletin of the American Physical Society
APS March Meeting 2018
Monday–Friday, March 5–9, 2018; Los Angeles, California
Session B46: Turbulence, Instabilities, Pattern Formation and Nonlinear Dynamics
11:15 AM–2:15 PM,
Monday, March 5, 2018
LACC Room: 506
Sponsoring Units: DFD GSNP
Chair: Peter Monkewitz, Swiss Fed Inst Tech
Abstract: B46.00011 : Generalized Stability Analysis of Capillary Flow in Slender V-Grooves*
1:15 PM–1:27 PM
(Applied Physics, California Institute of Technology)
Spontaneous capillary flow, an especially rapid process in slender open microchannels resembling V-grooves, is of significant importance to many applications requiring passive robust flow control. Many types of biomedical devices for point-of-care use in developing countries are being designed around this principle. Important fundamental work by Romero and Yost (1996) and Weislogel(1996) elucidated the behavior of Newtonian films in slender V-grooves driven to flow by the streamwise change in capillary pressure due to the change in radius of curvature of the circular arc describing the interface of wetting or non-wetting fluids. Self-similar solutions describing Washburn type dynamics were found but other solutions are possible. Here we extend the Romero and Yost model to include a variety of inlet and outlet boundary conditions and examine the transient growth and generalized stability of perturbations to steady state and self-similar flows. In total, the results support decades of experimental work which has found this method of flow control to be especially reliable, robust and self-healing.
*The authors gratefully acknowledge financial support from the 2016 NASA/Jet Propulsion Laboratory President's and Director's Fund, and a 2017 NASA Space Technology Research Fellowship.
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