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Newtonian Fluid: Problem Solving01:18

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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.
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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.
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As with waves on a string, the speed of sound or a mechanical wave in a fluid depends on the fluid's elastic modulus and inertia. The two relevant physical quantities are the bulk modulus and the density of the material. Indeed, it turns out that the relationship between speed and the bulk modulus and density in fluids is the same as that between the speed and the Young's modulus and density in solids.
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Probing Rate-Dependent Liquid Shear Viscosity Using Combined Machine Learning and Nonequilibrium Molecular Dynamics.

Hongyu Gao1, Minghe Zhu1, Jia Ma1,2

  • 1Department of Materials Science & Engineering, Saarland University, Campus C6.3, 66123 Saarbrücken, Germany.

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|June 3, 2025
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Summary
This summary is machine-generated.

This study combines machine learning (ML) with nonequilibrium molecular dynamics (NEMD) simulations to accurately predict liquid dynamic viscosity. The integrated approach overcomes experimental challenges, offering precise viscosity measurements across various shear rates.

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Area of Science:

  • Computational physics
  • Materials science
  • Rheology

Background:

  • Measuring liquid dynamic viscosity at high shear rates is experimentally challenging.
  • Controlling thermal effects and resolving high shear rates are key limitations.
  • Understanding shear-thinning behavior is crucial for complex fluid dynamics.

Purpose of the Study:

  • To develop a robust method for accurate viscosity prediction across shear rates.
  • To integrate machine learning with nonequilibrium molecular dynamics (NEMD) simulations.
  • To investigate the interplay of shear rate, pressure, and temperature on viscosity.

Main Methods:

  • Developed a supervised artificial neural network (ANN) model for viscosity prediction.
  • Utilized nonequilibrium molecular dynamics (NEMD) simulations with LAMMPS.
  • Implemented 'fix npt/sllod' for precise constant-pressure control in simulations.

Main Results:

  • The ANN model accurately predicts viscosity as a function of shear rate, pressure, and temperature.
  • Observed distinct shear-thinning trends and nonmonotonic changes in molecular morphology.
  • Demonstrated that temperature effects on viscosity diminish at high shear rates.

Conclusions:

  • ML-enhanced NEMD provides an efficient and accurate framework for viscosity prediction.
  • The study offers insights into molecular behavior under shear stress.
  • This approach facilitates future research in complex fluid dynamics and material design.