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Updated: Jul 18, 2026

High Speed Droplet-based Delivery System for Passive Pumping in Microfluidic Devices

High Speed Droplet-based Delivery System for Passive Pumping in Microfluidic Devices

Published on: September 2, 2009

Flow rate limitation in open capillary channel flows.

Dennis Haake¹, Uwe Rosendahl, Antje Ohlhoff

¹ZARM-Center of Applied Space Technology and Microgravity, University of Bremen, Bremen, Germany. dhaake@zarm.uni-bremen.de

Annals of the New York Academy of Sciences

|November 25, 2006

Summary

This study investigates liquid flow in capillary channels under reduced gravity, finding critical flow rates depend on channel geometry and liquid properties. A new model predicts these rates by considering pressure losses.

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Published on: August 27, 2013

Area of Science:

Fluid dynamics
Microgravity science
Surface tension phenomena

Background:

Open capillary channels facilitate liquid flow at low Bond numbers, where surface tension dominates over gravity.
Steady flow in these channels involves balancing capillary pressure with gas phase pressure.
Convective and viscous forces cause pressure drops, leading to inward bending of the free surface.

Purpose of the Study:

To experimentally and theoretically investigate forced liquid flows in open capillary channels under reduced gravity.
To compare theoretical predictions with experimental results for critical flow rates and surface profiles.
To develop a predictive model for critical flow rates in convective-dominated flows.

Main Methods:

Experimental investigation of liquid flows in open capillary channels under reduced gravity.
Theoretical modeling of one-dimensional flow, including entrance and frictional pressure losses.
Comparison of predicted and measured critical flow rates and free surface profiles.

Main Results:

The maximum (critical) flow rate is achieved when the free surface collapses, leading to gas ingestion.
Critical flow rate is dependent on channel geometry and liquid properties.
The developed one-dimensional model provides predictions for critical flow rates.

Conclusions:

The study successfully compares theoretical and experimental findings for critical flow rates in capillary channels.
The developed model aids in predicting flow behavior and limitations in reduced gravity environments.
Understanding these phenomena is crucial for applications involving fluid management in space.