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Rise of Liquid in a Capillary Tube01:18

Rise of Liquid in a Capillary Tube

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Non-invasive Assessment of Microvascular and Endothelial Function
05:41

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Published on: January 29, 2013

Different regimes in vertical capillary filling.

Siddhartha Das1, Sushanta K Mitra

  • 1Micro & Nano-scale Transport Laboratory, Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 16, 2013
PubMed
Summary
This summary is machine-generated.

The study reveals that capillary filling dynamics depend on the Ohnesorge (Oh) and Bond (Bo) numbers. The ratio Oh/Bo determines whether viscous, gravitational, or oscillatory regimes dominate, impacting liquid rise in tubes.

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Area of Science:

  • Fluid dynamics
  • Capillary phenomena
  • Interfacial science

Background:

  • Capillary rise and filling are crucial in various scientific and industrial applications.
  • Previous models often simplified the complex interplay of forces governing these phenomena.
  • Understanding the transition between different flow regimes is essential for accurate predictions.

Purpose of the Study:

  • To identify the dimensionless parameters governing vertical capillary filling regimes.
  • To elucidate the transition from inertial to other flow regimes based on parameter ratios.
  • To establish the force dynamics responsible for the oscillatory regime and match experimental data.

Main Methods:

  • Analysis of dimensionless parameters: Ohnesorge number (Oh) and Bond number (Bo).
  • Investigation of the Oh/Bo ratio to determine flow regime transitions.
  • Identification of the force balance driving the oscillatory regime.

Main Results:

  • Vertical capillary filling is governed by Oh and Bo numbers.
  • The ratio Oh/Bo dictates three distinct regimes following an initial inertial phase: Washburn (Oh/Bo >> 1), oscillatory (Oh/Bo << 1), and intermediate (Oh/Bo ~ 1).
  • The oscillatory regime involves liquid column length oscillating around the Jurin height, with viscosity influencing oscillation characteristics.

Conclusions:

  • The Ohnesorge and Bond numbers comprehensively define capillary filling regimes.
  • A clear understanding of the oscillatory regime's driving forces is established, achieving quantitative agreement with experimental results.
  • This work provides a more accurate framework for predicting liquid behavior in vertical capillaries.