Capillary filling dynamics of viscoelastic fluids
Aditya Bandopadhyay1, Uddipta Ghosh2, Suman Chakraborty3
1Advanced Technology Development Center, Indian Institute of Technology Kharagpur, Kharagpur-721302, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 30, 2014
Summary
This study explores capillary filling with viscoelastic fluids, revealing unique behaviors in closed channels and a distinct viscoelastic regime during horizontal filling, contrasting with Newtonian fluid dynamics.
Area of Science:
- Fluid Mechanics
- Rheology
- Microfluidics
Background:
- Capillary filling dynamics are crucial in microfluidic applications.
- Viscoelastic fluids exhibit complex flow behaviors not fully captured by Newtonian models.
- The Phan-Thien-Tanner (PTT) model describes a class of viscoelastic fluids relevant to biofluids.
Purpose of the Study:
- To investigate capillary filling using the Phan-Thien-Tanner (PTT) viscoelastic fluid model.
- To differentiate the roles of gravity and rheology in capillary penetration oscillations.
- To analyze capillary filling in closed channels and compare it with open channels and Newtonian fluids.
Main Methods:
- Theoretical analysis of capillary filling dynamics.
- Consideration of both vertical and horizontal capillary filling scenarios.
- Scaling analysis to identify distinct flow regimes.
Main Results:
- Identified the influence of gravity and rheology on long-time oscillations in capillary penetration depth.
- Demonstrated fundamental differences in capillary filling for PTT versus Newtonian fluids in closed channels.
- Highlighted a unique viscoelastic regime in horizontal capillary filling, deviating from Washburn scaling.
Conclusions:
- The study provides insights into the distinct capillary filling behavior of viscoelastic fluids, particularly PTT fluids.
- Findings are relevant for microfluidic applications involving biofluids and complex fluids.
- The identified viscoelastic regime offers a new perspective on capillary flow in microchannels.
Related Concept Videos
Surface Tension, Capillary Action, and Viscosity
28.5K
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...
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...
28.5K
Viscosity of Fluid
2.2K
Viscosity measures the resistance a fluid offers to flow and deformation. It results from internal friction between layers of fluid moving relative to one another. Dynamic viscosity, denoted by the Greek letter mu (μ), quantifies the force needed to move one fluid layer over another. For Newtonian fluids like water and air, the relationship between the shearing stress and the rate of shearing strain is linear, meaning their viscosity remains constant regardless of the applied stress.
2.2K
Capillarity in Fluid
1.5K
Capillarity describes the movement of liquid in small spaces without external forces acting on it. The capillarity is driven by surface tension and adhesive interactions between the liquid and surrounding solid surfaces. This effect is often seen in narrow tubes, porous materials, and fine particles.
Surface tension is crucial to capillarity. It results from cohesive forces between liquid molecules at the liquid-air boundary, forming a skin that resists external forces. When the capillary tube...
Surface tension is crucial to capillarity. It results from cohesive forces between liquid molecules at the liquid-air boundary, forming a skin that resists external forces. When the capillary tube...
1.5K
Pressure Variation in a Fluid at Rest
1.1K
In a fluid at rest, the pressure at any point beneath the fluid surface depends solely on the depth, not on the container's shape or size. This principle, known as hydrostatic pressure, arises because, in stationary fluids, there is no acceleration, meaning the forces within the fluid balance out. Only vertical forces, caused by the weight of the fluid above, contribute to pressure changes with depth.
When measuring pressure at two different levels within the fluid, the difference in...
When measuring pressure at two different levels within the fluid, the difference in...
1.1K
Newtonian Fluid: Problem Solving
1.1K
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
1.1K
Viscosity
166
Viscosity is a property of fluids that measures their resistance to flow. It is influenced by factors such as the surface area of contact, the gradient of flow speed, and the fluid's viscosity constant, called the coefficient of viscosity. The coefficient of viscosity, also known as dynamic viscosity, is denoted by the symbol η. It determines the proportionality between the viscous force and the gradient of flow speed.Newton's law of viscosity states that the viscous force on a...
166


