Related Experiment Video
Updated: Jun 29, 2026
08:58
Atomic Force Microscopy Cantilever-Based Nanoindentation: Mechanical Property Measurements at the Nanoscale in Air and Fluid
Published on: December 2, 2022
Dynamic modeling of contact-line deformation: comparison with experiment
Stanimir Iliev1, Nina Pesheva, Vadim S Nikolayev
1Institute of Mechanics, Bulgarian Academy of Sciences, Academician G. Bonchev Street 4, 1113 Sofia, Bulgaria.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 15, 2008
Summary
The quasistatic contact-line dissipation model accurately predicts liquid meniscus dynamics during Wilhelmy plate experiments. This model shows better agreement with experimental results than existing hydrodynamic approaches.
Area of Science:
- Fluid dynamics
- Interface science
- Wettability phenomena
Background:
- Contact line dynamics are crucial in various physical phenomena.
- Existing models, like contact-line elasticity, have limitations in explaining experimental observations.
- The Wilhelmy plate geometry is a standard method for studying liquid-solid interactions.
Purpose of the Study:
- To apply and validate the quasistatic contact-line dissipation model for periodically perturbed contact lines.
- To compare the model's predictions with experimental data and existing hydrodynamic approaches.
- To analyze the influence of nonlinearity on contact-line relaxation dynamics.
Main Methods:
- Rigorous numerical simulation of three-dimensional liquid meniscus motion.
- Application of the quasistatic contact-line dissipation model.
- Detailed comparison with experimental results from Delon et al. (2008) and their hydrodynamic approach.
Main Results:
- The quasistatic contact-line dissipation model demonstrates superior agreement with experimental data compared to the hydrodynamic approach.
- Numerical simulations successfully captured the complex dynamics of the liquid meniscus.
- The influence of nonlinearity on contact-line relaxation was analyzed.
Conclusions:
- The quasistatic contact-line dissipation model provides a more accurate description of contact-line relaxation dynamics in the Wilhelmy plate geometry.
- The study highlights the limitations of simpler models and the importance of considering nonlinear effects.
- This work advances the understanding of fluid behavior at interfaces.
Related Concept Videos
01:11Deformation of Member under Multiple Loadings
When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...
01:12Temperature Dependent Deformation
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added together...
01:18Deformations in a Symmetric Member in Bending
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
01:30Typical Model Studies
Fluid mechanics model studies often utilize scaled-down systems to predict fluid behavior in full-scale environments, such as river flows, dam spillways, and structures interacting with open surfaces. Maintaining Froude number similarity in river models is crucial, as it replicates surface flow features like wave patterns and velocities.
01:15Deformation of a Beam under Transverse Loading
Understanding beam deflection, particularly for indeterminate beams with overhanging segments and multiple concentrated loads, is crucial for ensuring structural integrity and functionality. The process begins with constructing an accurate free-body diagram, which helps identify the forces and moments acting on the beam. This diagram is vital for visualizing how bending moments vary along the beam's length, influencing its curvature.
The insights from the bending moment diagram extend to...
The insights from the bending moment diagram extend to...
01:19Impact Loading
Impact loading occurs when a moving object collides with a stationary structure, such as a rod with a uniform cross-sectional area fixed at one end. Under these conditions, the rod absorbs the kinetic energy from the striking object, leading to deformation and subsequent stress development. As the rod returns to its original position and reaches maximum stress, the absorbed energy, initially manifested as kinetic energy, transforms entirely into strain energy.
In cases of elastic deformation,...
In cases of elastic deformation,...