Motion Planning for Viscous Fingering

• Published in: IEEE control systems letters Vol. 8; pp. 1409 - 1414
• Main Author: Petit, Nicolas
• Format: Journal Article
• Language: English
• Published: IEEE 2024
• Subjects: Automatic Control Engineering; Computer Science; control of micro- and nano-systems; distributed parameters systems; Dynamics; Fingers; Fluids; Hele-Shaw cell; Mathematical models; Microfluidics; motion planning; non-smooth dynamics; Planning; Shape; Viscosity

This letter considers the problem of controlling the shape of the moving interface between two fluids contained in a Hele-Shaw cell during its filling. This system is subject to viscous fingering. The interface shape dynamics is described using a modal decomposition where each mode is governed by a...