Related Experiment Video
Updated: Oct 29, 2025

08:01
The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
8.8K
Rheology based estimates of self- and collective diffusivities in viscous liquids
C Gainaru1, S Ahlmann1, L S Röwekamp1
1Fakultät Physik, Technische Universität Dortmund, D-44221 Dortmund, Germany.
The Journal of Chemical Physics
|July 9, 2021
Summary
This study estimates the self-diffusion coefficient in viscous liquids using rheological shear spectra. The generalized Almond-West approach reveals small differences compared to direct measurements, highlighting collective effects on viscous flow.
Area of Science:
- Physical Chemistry
- Materials Science
- Rheology
Background:
- Understanding molecular dynamics in supercooled liquids is crucial for materials science.
- Direct measurement of self-diffusion coefficients in viscous liquids can be challenging.
Purpose of the Study:
- To estimate the self-diffusion coefficient of viscous liquids using rheological shear spectra.
- To generalize the Almond-West approach for analyzing molecular dynamics in supercooled liquids.
Main Methods:
- Analysis of rheological shear spectra.
- Generalization of the Almond-West approach for supercooled liquids.
- Comparison of rheology-based estimates with directly measured diffusivities.
Main Results:
- Rheology-based estimates for indomethacin, ortho-terphenyl, and trinaphthylbenzene show small, systematic deviations from direct diffusivity measurements.
- The Almond-West approach was successfully generalized for molecular dynamics in supercooled liquids.
Conclusions:
- Rheological shear spectra provide a viable method for estimating self-diffusion coefficients in viscous liquids.
- Deviations are explained by mechanical Haven ratios, quantifying collective translational effects impacting viscous flow.
Related Concept Videos
Viscosity of Fluid
845
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.
845
Viscosity
6.5K
When water is poured into a glass, it falls freely and quickly, whereas if honey or maple syrup is poured over a pancake, it flows slowly and sticks to the surface of the container. This difference in the flow of different kinds of liquids arises due to the fluid friction between the liquid layers and the liquid and the surrounding material. This property of fluids is called fluid viscosity. In this example, water has a lower viscosity than honey and maple syrup.
The SI unit of viscosity is...
The SI unit of viscosity is...
6.5K
Surface Tension, Capillary Action, and Viscosity
30.8K
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...
30.8K
Newtonian Fluid: Problem Solving
594
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...
594
Stokes' Law
2.0K
Viscous forces, like friction, are intermolecular forces that resist the relative motion of molecules over each other. When a solid body moves through a liquid, viscous forces drag it in the opposite direction. The force's magnitude depends on the solid's shape and size, as well as its speed and the liquid's coefficient of viscosity, density and temperature.
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
The expression for the force on a solid spherical object in a fluid is called Stokes' law. Stokes' law is valid only...
2.0K
Poiseuille's Law and Reynolds Number
7.9K
Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as:
7.9K

