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Updated: Jun 16, 2026

Single Plane Illumination Module and Micro-capillary Approach for a Wide-field Microscope

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Published on: August 15, 2014

Capillary rise between parallel plates under dynamic conditions.

Fabiano G Wolf¹, Luís O E dos Santos, Paulo C Philippi

¹Federal University of Santa Catarina, Department of Mechanical Engineering, Campus Universitário Florianópolis, Santa Catarina 88040-900, Brazil. fgwolf@lmpt.ufsc.br

Journal of Colloid and Interface Science

|January 26, 2010

Summary

This study simulates capillary rise using a Lattice-Boltzmann method, finding good agreement with theory, especially when dynamic contact angle and capillary number are considered. Long-range forces had minimal impact on fluid dynamics in simulations.

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Area of Science:

Fluid Dynamics
Computational Physics
Interfacial Phenomena

Background:

Capillary rise is crucial in various natural and industrial processes.
Understanding fluid-wall interactions, including long-range forces, is key to accurate simulations.
Existing models often simplify or neglect these long-range effects.

Purpose of the Study:

To develop and validate a Lattice-Boltzmann method for simulating capillary rise between parallel plates.
To investigate the influence of long-range fluid-wall interactions on capillary rise dynamics.
To compare simulation results with theoretical predictions, specifically the Bosanquet equation.

Main Methods:

Utilized a Lattice-Boltzmann method incorporating field mediators to model fluid-vapor systems.
Simulated capillary rise between parallel plates, considering long-range interactions.
Compared simulation outcomes with theoretical solutions, including the Bosanquet equation and dynamic contact angle dependencies.

Main Results:

Simulations showed good agreement with theoretical predictions, particularly when accounting for the dynamic contact angle's linear dependence on the capillary number.
Observed discrepancies in early capillary rise stages for large plate separations, attributed to meniscus formation complexity.
Found that long-range forces did not significantly alter mesoscopic fluid flow dynamics on ideal surfaces.

Conclusions:

The proposed Lattice-Boltzmann method effectively simulates capillary rise, validating theoretical models under specific conditions.
The dynamic contact angle's dependence on the capillary number is critical for accurate simulation of capillary rise on smooth surfaces.
Long-range forces appear to have a limited impact on mesoscopic fluid flow dynamics for idealized flat and homogeneous solid surfaces.