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Related Concept Videos

Viscosity of Fluid01:19

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.
Accelerating Fluids01:17

Accelerating Fluids

When a fluid is in constant acceleration, the pressure and buoyant force equations are modified. Suppose a beaker is placed in an elevator accelerating upward with a constant acceleration, a. In the beaker, assume there is a thin cylinder of height h with an infinitesimal cross-sectional area, ΔS.
The motion of the liquid within this infinitesimal cylinder is considered to obtain the pressure difference. Three vertical forces act on this liquid:
Navier–Stokes Equations01:28

Navier–Stokes Equations

For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
Elastic Strain Energy for Shearing Stresses01:20

Elastic Strain Energy for Shearing Stresses

As discussed in previous lessons, strain energy in a material is the energy stored when it is elastically deformed, a concept crucial in materials science and mechanical engineering. This energy results from the internal work done against the cohesive forces within the material. When a material undergoes shearing stress and corresponding shearing strain, the strain energy density, which is the energy stored per unit volume, is calculated. Within the elastic limit, where the stress is...
Newtonian Fluid: Problem Solving01:18

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...
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.

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Related Experiment Video

Updated: May 23, 2026

Experimental Measurement of Settling Velocity of Spherical Particles in Unconfined and Confined Surfactant-based Shear Thinning Viscoelastic Fluids
10:28

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

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GPU accelerated numerical simulations of viscoelastic phase separation model.

Keda Yang1, Jiaye Su, Hongxia Guo

  • 1Beijing National Laboratory for Molecular Sciences, Joint Laboratory of Polymer Sciences and Materials, Institute of Chemistry, Chinese Academy of Sciences, China.

Journal of Computational Chemistry
|April 20, 2012
PubMed
Summary

We developed a fast viscoelastic model for simulating phase separation in polymer systems using graphics processing units (GPUs). This GPU implementation offers a 190x speedup over traditional central processing units (CPUs) without compromising accuracy.

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Area of Science:

  • Computational physics and materials science.
  • Numerical simulations and scientific computing.
  • Polymer physics and soft matter.

Background:

  • Phase separation kinetics in polymer blends and solutions are crucial for material properties.
  • Dynamic asymmetry systems present unique challenges for accurate simulation.
  • Conventional simulations on central processing units (CPUs) are computationally intensive and slow.

Purpose of the Study:

  • To implement a viscoelastic model for numerical simulations of phase separation kinetics on a graphics processing unit (GPU).
  • To optimize algorithms and discuss implementation details for GPU acceleration.
  • To validate the GPU implementation's accuracy and performance against established results.

Main Methods:

  • Development of a viscoelastic model implemented using CUDA for GPU acceleration.
  • Numerical simulations of phase separation in a polymer solution.
  • Comparative performance analysis between GPU and single CPU implementations.
  • Accuracy assessment using single and double precision calculations on the GPU.

Main Results:

  • The GPU-based viscoelastic model accurately predicts phase separation kinetics in polymer solutions.
  • Achieved a speedup of approximately 190 times compared to a single CPU.
  • Both single and double precision GPU calculations yield high-quality simulation results.
  • The model effectively handles large length and time scales relevant to phase separation.

Conclusions:

  • The GPU-accelerated viscoelastic model provides a significant computational advantage for simulating phase separation.
  • This approach enables the study of complex polymer systems previously intractable with conventional methods.
  • The validated accuracy and speedup make the GPU model a powerful tool for both experimental and theoretical research in polymer science.