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Related Concept Videos

Characteristics of Fluids01:20

Characteristics of Fluids

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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...
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Characteristics of Fluids01:31

Characteristics of Fluids

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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...
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Intermolecular Forces in Solutions02:28

Intermolecular Forces in Solutions

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The formation of a solution is an example of a spontaneous process, a process that occurs under specified conditions without energy from some external source.
When the strengths of the intermolecular forces of attraction between solute and solvent species in a solution are no different than those present in the separated components, the solution is formed with no accompanying energy change. Such a solution is called an ideal solution. A mixture of ideal gases (or gases such as helium and argon,...
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Surface Tension of Fluid01:22

Surface Tension of Fluid

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Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies...
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Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

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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...
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Stokes' Law01:20

Stokes' Law

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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...
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Related Experiment Video

Updated: Nov 9, 2025

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
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Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids

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Interacting hard-sphere fluids in an external field.

Benaoumeur Bakhti1, Gerhard Müller2

  • 1G2E Lab, SNV and Department of Physics, University of Mustapha Stambouli, Mascara 29000, Algeria.

Physical Review. E
|April 17, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new method to analyze interacting fluids, accurately predicting their equilibrium properties in various external fields and environments. The approach offers exact solutions in 1D and good approximations in higher dimensions.

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Area of Science:

  • Statistical Mechanics
  • Soft Matter Physics
  • Computational Physics

Background:

  • Understanding equilibrium properties of interacting fluids is crucial in various scientific domains.
  • Existing methods often face limitations with complex interactions or inhomogeneous environments.

Purpose of the Study:

  • To develop a versatile and accurate method for studying equilibrium properties of interacting fluids.
  • To handle fluids with hard-core repulsion and arbitrary, short-range interactions in external fields.

Main Methods:

  • Derivation of an exact equation for the pair distribution function in one dimension.
  • Development of approximations for higher dimensions.
  • Numerical and analytical evaluation of the pair distribution function to determine thermodynamic properties.

Main Results:

  • The method is exact in one dimension and provides good approximations in higher dimensions.
  • It successfully models homogeneous and inhomogeneous environments.
  • Derived expressions for entropy and free energy functionals.

Conclusions:

  • The presented method offers a robust framework for analyzing interacting fluids.
  • It reproduces known exact results for specific one-dimensional systems.
  • The approach is applicable to a wide range of fluid systems and external conditions.