Diffusion coefficient and shear viscosity of rigid water models.
Sami Tazi1, Alexandru Boţan, Mathieu Salanne
1CNRS and UPMC Université Paris-06, UMR 7195 PECSA, 75005 Paris, France.
Summary
We calculated the diffusion coefficient and viscosity for rigid water models, finding TIP4P/2005 best matches experimental data. SPC/E and Dang-Chang models showed discrepancies in diffusion and viscosity predictions.
Area of Science:
- Computational chemistry
- Molecular dynamics simulations
- Physical chemistry
Background:
- Accurate molecular models are crucial for simulating water properties.
- Existing rigid water models (SPC/E, TIP4P/2005, Dang-Chang) vary in their predictive accuracy.
- Understanding diffusion and viscosity is key to characterizing fluid behavior.
Purpose of the Study:
- To determine the size-independent diffusion coefficient and viscosity for SPC/E, TIP4P/2005, and Dang-Chang water models.
- To compare simulation results with experimental data and Green-Kubo predictions.
- To evaluate the accuracy of different rigid water models.
Main Methods:
- Utilizing system-size dependence analysis to extrapolate diffusion coefficients to the thermodynamic limit.
- Estimating viscosity from diffusion coefficient calculations.
- Comparing simulation-derived properties with experimental values and established theoretical results.
Main Results:
- TIP4P/2005 demonstrated superior agreement with experimental diffusion and viscosity data.
- SPC/E and Dang-Chang models overestimated diffusion coefficients.
- SPC/E and Dang-Chang models underestimated viscosity compared to experimental values.
Conclusions:
- TIP4P/2005 is recommended for accurate simulations of water diffusion and viscosity.
- SPC/E and Dang-Chang models may require adjustments for precise dynamic property predictions.
- System-size extrapolation is a reliable method for obtaining accurate diffusion coefficients.
Related Concept Videos
Viscosity
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 faster-moving...
Viscosity
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...
Viscosity of Fluid
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.
Typical 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.
Newtonian Fluid: Problem Solving
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...
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...
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...


