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Characteristics of Fluids

Characteristics of Fluids

When a force is applied parallel to the top surface of a solid, it resists the applied force due to the internal frictional forces between the layers of the solid known as shearing resistance. However, when the force is removed, the shearing forces restore the original shape of the solid. Other deformation forces also cause temporary changes in shape if the forces are not beyond a threshold magnitude. Solids tend to retain their shape, making the study of their rest and motion easier. Beyond...

Characteristics of Fluids

Characteristics of Fluids

Fluids differ from solids primarily in their molecular structure and stress response. Solids have tightly packed molecules with strong intermolecular forces, maintaining their shape and resisting deformation. In contrast, fluids have molecules spaced farther apart with weaker forces, allowing them to flow and deform easily.
Fluids, which include both liquids and gases, are substances that deform continuously under shearing stress. For example, water and oil are liquids with molecules that can...

Viscosity of Fluid

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.

Types of Fluids

Types of Fluids

Fluids can be classified into Newtonian and non-Newtonian fluids based on their response to shear stress. Newtonian fluids have a linear relationship between shear stress and the shear strain rate, following Newton's law of viscosity. Their viscosity remains constant regardless of the shear rate, making their behavior predictable and easier to analyze. Common examples include water, air, oil, and gasoline.
In contrast, non-Newtonian fluids do not follow Newton's law of viscosity, and their...

Newtonian Fluid: Problem Solving

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...

Dimensionless Groups in Fluid Mechanics

Dimensionless Groups in Fluid Mechanics

Dimensionless groups in fluid mechanics provide simplified ratios that help analyze fluid behavior without relying on specific units. The Reynolds number (Re), which represents the ratio of inertial to viscous forces, distinguishes between laminar and turbulent flows, making it essential in the design of pipelines and aerodynamic surfaces. The Froude number (Fr), the ratio of inertial to gravitational forces, is particularly useful in predicting wave formation and hydraulic jumps in...

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Measuring Material Microstructure Under Flow Using 1-2 Plane Flow-Small Angle Neutron Scattering

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Atomic-scale structure of hard-core fluids under shear flow.

James F Lutsko¹

¹Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, Code Postal 231, Belgium. jlutsko@ulb.ac.be

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 7, 2003

Summary

Velocity correlations significantly impact hard-sphere fluid pair distribution functions under shear flow. Enskog approximation and generalized mean-spherical approximation accurately predict these functions, aligning with simulation data.

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials

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Studying Large Amplitude Oscillatory Shear Response of Soft Materials

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Published on: April 25, 2019

Area of Science:

Physics
Fluid Dynamics
Statistical Mechanics

Background:

Understanding fluid behavior under shear is crucial in various scientific and engineering fields.
The pair distribution function (PDF) describes particle distribution in a fluid, providing insights into its structure and properties.
Nonequilibrium effects, like shear flow, can alter fluid structure and dynamics.

Purpose of the Study:

To investigate the influence of velocity correlations on the equal-time density autocorrelation function (PDF) of a hard-sphere fluid subjected to shear flow.
To develop and validate theoretical models for predicting the PDF in nonequilibrium conditions.

Main Methods:

Utilized the Enskog approximation to calculate the PDF at contact for a hard-sphere fluid under shear.
Employed molecular dynamics simulations to obtain reference data for comparison.
Constructed a nonequilibrium generalized mean-spherical approximation for the PDF at finite separations.

Main Results:

The Enskog approximation for the PDF at contact showed good agreement with molecular dynamics simulations below the shear-induced ordering transition.
The developed nonequilibrium generalized mean-spherical approximation also demonstrated strong agreement with simulation data for the PDF at finite separations.

Conclusions:

Velocity correlations play a key role in determining the PDF of hard-sphere fluids under shear flow.
Theoretical models based on Enskog and generalized mean-spherical approximations can accurately capture these nonequilibrium effects.