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Controlling radial fingering patterns in miscible confined flows.

Ching-Yao Chen¹, C-W Huang, L-C Wang

¹Department of Mechanical Engineering, National Chiao Tung University, Hsinchu, Taiwan, Republic of China. chingyao@mail.nctu.edu.tw

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

Controlling fluid flow in Hele-Shaw cells stabilizes complex patterns. Adjusting injection rate and gap width prevents finger splitting, merging, and competition, even with miscible fluids.

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Area of Science:

Fluid Dynamics
Pattern Formation
Complex Systems

Background:

Immiscible fluid flow in Hele-Shaw cells creates complex, ramified patterns under constant injection or exponential gap width increase.
Surface tension effects typically influence these intricate morphologies.
Previous research suggests control is possible via injection rate and gap width adjustments.

Purpose of the Study:

To investigate control strategies for fluid flow in Hele-Shaw cells with miscible fluids.
To determine if injection rate and time-dependent gap width can stabilize fingered structures in the absence of surface tension.

Main Methods:

Intensive numerical simulations were employed.
The study focused on miscible fluid systems within Hele-Shaw cells.
Analysis included varying initial conditions and Péclet numbers.

Main Results:

Controlling injection rate and gap width effectively stabilizes fingered structures.
Splitting, merging, and competition of fingers were significantly inhibited.
The system's sensitivity to initial conditions and Péclet numbers was evaluated.

Conclusions:

Control strategies proven effective for immiscible fluids also stabilize miscible fluid flow.
Adjusting injection rate and gap width are viable methods for controlling pattern formation in Hele-Shaw cells.
These findings offer insights into managing complex fluid dynamics without surface tension.