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Bewley Lattice Diagram01:12

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Lattice energy represents the energy released when gaseous cations and anions combine to form an ionic solid, reflecting the strength of electrostatic interactions within the crystal. This process is fundamentally governed by Coulombic attraction between oppositely charged ions, where the potential energy varies inversely with the interionic distance and directly with the product of ionic charges. As ions approach one another, the electrostatic energy becomes increasingly negative, indicating a...
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Maxwell-Boltzmann Distribution: Problem Solving01:20

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Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
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Lattice Centering and Coordination Number02:33

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Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies
07:31

Realistic Membrane Modeling Using Complex Lipid Mixtures in Simulation Studies

Published on: September 1, 2023

Contact line dynamics in binary lattice Boltzmann simulations.

C M Pooley1, H Kusumaatmaja, J M Yeomans

  • 1The Rudolf Peierls Centre for Theoretical Physics, Oxford University, 1 Keble Road, Oxford OX1 3NP, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2008
PubMed
Summary
This summary is machine-generated.

A single relaxation time lattice Boltzmann algorithm inaccurately calculates contact angles in binary fluids due to spurious velocities. A multiple-relaxation-time algorithm significantly improves accuracy for fluid dynamics simulations.

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Area of Science:

  • Fluid dynamics simulations
  • Computational physics
  • Interfacial phenomena

Background:

  • Lattice Boltzmann methods (LBM) are widely used for simulating fluid dynamics.
  • Accurate simulation of binary fluids requires careful handling of interfacial properties like contact angles.
  • Single relaxation time (SRT) LBM can suffer from spurious velocities, affecting simulation accuracy.

Purpose of the Study:

  • To investigate the impact of spurious velocities in SRT LBM on equilibrium contact angle calculations for binary fluids with differing viscosities.
  • To identify the source of these spurious currents.
  • To demonstrate the improvement offered by a multiple-relaxation-time (MRT) LBM approach.

Main Methods:

  • Solving hydrodynamic equations for a binary fluid using SRT LBM.
  • Identifying the origins of spurious steady-state velocities.
  • Implementing and utilizing MRT LBM for improved simulation accuracy.
  • Analyzing capillary filling phenomena to study advancing contact angles.

Main Results:

  • SRT LBM produces significant spurious velocities, leading to incorrect equilibrium contact angles in binary fluids.
  • The origins of these spurious currents were identified.
  • MRT LBM significantly reduces spurious velocities and improves the accuracy of contact angle predictions.
  • The dependence of the advancing contact angle on interface velocity was characterized during capillary filling.

Conclusions:

  • SRT LBM is inadequate for accurate contact angle prediction in viscous binary fluid systems.
  • MRT LBM provides a more robust and accurate method for simulating interfacial phenomena in such systems.
  • Understanding and mitigating spurious velocities is crucial for reliable fluid dynamics simulations.