Hydrodynamic coupling of spherical particles to a planar fluid-fluid interface: theoretical analysis
J Bławzdziewicz1, M L Ekiel-Jezewska, E Wajnryb
1Department of Mechanical Engineering, Texas Tech University, 7th and Boston, Lubbock, Texas 79409, USA.
The Journal of Chemical Physics
|September 28, 2010
Summary
We developed a new method to calculate particle movement near fluid interfaces. This technique accounts for surface properties and particle interactions, improving predictions for complex fluid dynamics.
Area of Science:
- Fluid dynamics
- Colloid science
- Interfacial phenomena
Background:
- Understanding particle motion near fluid interfaces is crucial in various scientific and industrial applications.
- Existing models often simplify interface properties, limiting their applicability.
- Creeping-flow conditions are relevant for microfluidic devices and biological systems.
Purpose of the Study:
- To develop a novel computational technique for describing hydrodynamic interactions between spherical particles and planar fluid-fluid interfaces.
- To incorporate the effects of surfactant monolayers, including incompressibility and surface viscosity, into particle motion calculations.
- To enable the calculation of particle mobility coefficients for coupled particles on either side of the interface.
Main Methods:
- Utilized a Cartesian-representation method to model hydrodynamic interactions.
- Developed a new algorithm to handle particle-interface dynamics under creeping-flow conditions.
- Accounted for both surfactant-free and surfactant-covered interfaces, considering surface incompressibility and viscosity.
Main Results:
- Successfully calculated particle mobility coefficients for a spherical particle interacting with an undeformable planar fluid-fluid interface.
- The method accurately describes particle motion considering various interface conditions (surfactant-free, incompressible monolayer).
- The algorithm provides mobility coefficients for hydrodynamically coupled particles on the same or opposite sides of the interface.
Conclusions:
- The new Cartesian-representation technique offers a robust framework for analyzing particle hydrodynamics at fluid interfaces.
- This method enhances the predictive capability for systems involving particles near interfaces with complex surface properties.
- The developed algorithm is valuable for simulating and understanding microparticle behavior in interfacial flows.
More Related Videos
11:51Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
08:49Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions
Published on: February 17, 2019
Related Concept Videos
01:17Steady, Laminar Flow Between Parallel Plates
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
01:22Couette Flow
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
01:12Fluid Pressure over Curved Plate of Constant Width
When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
01:22Eulerian and Lagrangian Flow Descriptions
Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
01:02Fluid Pressure over Flat Plate of Variable Width
When a flat plate is submerged in a fluid, the fluid exerts pressure on the plate. This pressure can lead to many different phenomena, including drag and buoyancy. To understand the behavior of the fluid over a flat plate of variable width, it is essential to analyze the distribution of the pressure exerted.
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
The pressure distribution on the plate can be calculated by determining the force that acts on a differential area strip of the plate. Thus, the magnitude of the force is equal to the...
01:04Hydrostatic Pressure Force on a Curved Surface
Hydrostatic pressure on curved surfaces is a fundamental concept in fluid mechanics with broad applications in the civil engineering field. When fluid is in contact with a curved surface, as in a reservoir, dam, or storage tank, it exerts pressure that varies in magnitude and direction along the curved surface. To assess the total hydrostatic force exerted by the fluid on a curved structure, engineers typically isolate the fluid volume adjacent to the surface and analyze the forces acting on...