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Preaveraging the Oseen tensor is accurate for translational diffusion but introduces significant errors in rotational diffusion and intrinsic viscosity calculations for rigid objects. This approximation is only suitable for translational diffusion analysis.

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Area of Science:

  • Computational physics
  • Fluid dynamics
  • Biophysics

Background:

  • The Oseen tensor is crucial for modeling fluid-structure interactions.
  • Scalar approximations of the Oseen tensor are computationally efficient but may lack accuracy.
  • Understanding the limitations of these approximations is vital for reliable simulations.

Purpose of the Study:

  • To evaluate the accuracy of a preaveraged Oseen tensor approximation for rigid objects.
  • To quantify errors in translational diffusion, rotational diffusion, and intrinsic viscosity.
  • To determine the applicability of the approximation based on object shape and transport properties.

Main Methods:

  • Utilized high-accuracy computational codes for precise simulations.
  • Compared preaveraged Oseen tensor results with exact computations and analytical solutions.
  • Investigated spheroids and globular proteins under stick boundary conditions.

Main Results:

  • Translational diffusion errors were less than 1%, consistent with prior research.
  • Rotational diffusion errors were shape-dependent, with the axial component showing a -34% error.
  • Intrinsic viscosity errors were around 10% for near-spherical shapes, decreasing for elongated or flattened shapes.

Conclusions:

  • Preaveraging the Oseen tensor is highly accurate for translational diffusion of rigid objects.
  • Significant errors arise in rotational diffusion and intrinsic viscosity, particularly for non-spherical shapes.
  • The scalar approximation is generally not recommended for rotational diffusion or intrinsic viscosity calculations.