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The flow of thin liquid layers on circular cylinders
Leonard W Schwartz1, Thomas A Cender1
1Department of Mechanical Engineering, University of Delaware, 130 Academy St., Newark, DE 19716, United States.
Journal of Colloid and Interface Science
|August 28, 2018
Summary
This study explores liquid coating flow on inclined cylinders. Optimal liquid transport occurs when the cylinder axis is inclined, maximizing volumetric flow for industrial applications.
Area of Science:
- Fluid dynamics
- Surface phenomena
- Non-Newtonian fluid mechanics
Background:
- Understanding liquid coating dynamics on curved surfaces is crucial for various industrial processes.
- The interplay of surface tension and gravity significantly influences fluid behavior on inclined substrates.
Purpose of the Study:
- To experimentally and theoretically investigate the time evolution of liquid coatings on inclined circular cylinders.
- To analyze the motion of Newtonian liquids driven by surface tension and gravity using the lubrication approximation.
Main Methods:
- Experimental observation of liquid coating behavior on inclined cylinders.
- Theoretical analysis using the long-wave or lubrication approximation for fluid motion.
- Computation of time-dependent solutions for the lubrication model.
Main Results:
- Computed solutions align with experimental observations for small-diameter cylinders.
- Flow evolution depends on inclination angle, Bond number, and initial coating thickness.
- Observed phenomena include Rayleigh-Plateau instability, drainage, wave propagation, and ring formation.
Conclusions:
- Volumetric transport is maximized when the cylinder axis is inclined relative to gravity.
- Results offer insights for optimizing small-scale liquid transport in natural and industrial settings.
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