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Related Concept Videos

Types of Damping01:20

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
Precipitation Processes01:12

Precipitation Processes

The experimental conditions in a gravimetric analysis should be optimized to maximize the particle size and purity of the obtained precipitate. Ideally, the concentration of the precipitating reagent should be low with effective stirring to maintain low relative supersaturation for the growth of large crystals. In homogeneous precipitation, the precipitant is slowly generated by a chemical reaction in the solution to avoid local reagent excesses. For example, urea decomposes gradually to...
Rise of Liquid in a Capillary Tube01:18

Rise of Liquid in a Capillary Tube

When very thin cylindrical tubes, called capillaries, are dipped in a liquid, the liquid rises or falls in the tube compared to the surrounding liquid. This phenomenon is called capillary action. Capillary action occurs due to the combination of two opposing forces: the cohesive forces of the liquid, which cause it to stick to itself and form a rounded shape, and the adhesive forces between the liquid and the walls of the container, which cause the liquid to be attracted to the container walls.
Surface Tension, Capillary Action, and Viscosity02:57

Surface Tension, Capillary Action, and Viscosity

Surface Tension
The various IMFs between identical molecules of a substance are examples of cohesive forces. The molecules within a liquid are surrounded by other molecules and are attracted equally in all directions by the cohesive forces within the liquid. However, the molecules on the surface of a liquid are attracted only by about one-half as many molecules. Because of the unbalanced molecular attractions on the surface molecules, liquids contract to form a shape that minimizes the number...
Theories of Dissolution: Diffusion Layer Model01:15

Theories of Dissolution: Diffusion Layer Model

Dissolution, the process by which drug particles dissolve in a solvent, is explained by the diffusion layer model, a theoretical framework that simulates the absorption of oral drugs and allows us to analyze experimental data.
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Related Experiment Video

Updated: May 7, 2026

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films
07:08

Film Control to Study Contributions of Waves to Droplet Impact Dynamics on Thin Flowing Liquid Films

Published on: August 18, 2018

Thick drops on a slowly oscillating substrate.

E S Benilov1, C P Cummins

  • 1Department of Mathematics, University of Limerick, Limerick, Ireland.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 17, 2013
PubMed
Summary
This summary is machine-generated.

A vibrating substrate can cause liquid drops to climb uphill. Thicker drops require less vibration to climb, but only within a narrower frequency range.

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Last Updated: May 7, 2026

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Area of Science:

  • Fluid dynamics
  • Surface science
  • Physics of complex systems

Background:

  • Understanding liquid drop behavior on inclined surfaces is crucial in various scientific and industrial applications.
  • Previous studies often simplified drop dynamics by assuming thin films, limiting applicability to real-world scenarios.

Purpose of the Study:

  • To investigate the vertical oscillation effects on a liquid drop's movement on an inclined substrate.
  • To analyze the role of drop thickness and liquid properties in determining uphill motion.

Main Methods:

  • Mathematical modeling of a liquid drop's shape and motion under weak, slow vertical oscillations.
  • Analysis of forces including surface tension, gravity, and vibration-induced inertia, neglecting liquid inertia and viscosity.
  • Extension of existing models for thin drops to account for arbitrary drop thicknesses.

Main Results:

  • A critical oscillation amplitude threshold (ε(*)) was identified for uphill drop movement.
  • This threshold (ε(*)) is significantly influenced by drop thickness, which depends on the equilibrium contact angle (β[over ¯]).
  • Thick drops exhibit uphill climbing at lower oscillation amplitudes but within a reduced frequency range.

Conclusions:

  • Drop thickness and equilibrium contact angle are critical factors governing uphill motion on vibrating inclined surfaces.
  • The findings provide a more comprehensive understanding of liquid drop dynamics beyond thin-film approximations.
  • This research offers insights into controlling liquid transport in microfluidic devices and other applications involving vibrating substrates.