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Lattice Centering and Coordination Number02:33

Lattice Centering and Coordination Number

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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
Types of Unit Cells
Imagine taking a large number of identical...
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Trends in Lattice Energy: Ion Size and Charge02:54

Trends in Lattice Energy: Ion Size and Charge

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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Bewley Lattice Diagram01:12

Bewley Lattice Diagram

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The Bewley lattice diagram, developed by L. V. Bewley, effectively organizes the reflections occurring during transmission-line transients. It visually represents how voltage waves propagate and reflect within a transmission line, making it easier to understand the complex interactions that occur.
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Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

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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).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
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Thermal expansion and Thermal stress: Problem Solving01:27

Thermal expansion and Thermal stress: Problem Solving

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San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in temperature (ΔT) is 55...
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Thermal Strain01:19

Thermal Strain

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Thermal strain is a concept that arises when we consider how temperature changes affect structures. Unlike the conventional assumption that structures remain constant under load, real-world scenarios often involve temperature fluctuations that can significantly impact these structures. Consider a homogeneous rod with a uniform cross-section resting freely on a flat horizontal surface. If the rod's temperature increases, the rod elongates. This elongation is proportional to the temperature...
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Related Experiment Video

Updated: Feb 4, 2026

Trapping of Micro Particles in Nanoplasmonic Optical Lattice
07:20

Trapping of Micro Particles in Nanoplasmonic Optical Lattice

Published on: September 5, 2017

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Thermal lattice Boltzmann method for multiphase flows.

Alexander L Kupershtokh1, Dmitry A Medvedev1,2, Igor I Gribanov1

  • 1Lavrentyev Institute of Hydrodynamics, Siberian Branch of Russian Academy of Sciences, Lavrentyev prosp. 15, 630090 Novosibirsk, Russia.

Physical Review. E
|September 27, 2018
PubMed
Summary
This summary is machine-generated.

A new lattice Boltzmann method simulates heat transport in multiphase flows. It accurately models phase transitions and suppresses parasitic heat diffusion, enabling simulations of complex fluid dynamics.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Thermodynamics

Background:

  • Simulating heat transport in multiphase flows is challenging due to phase boundaries.
  • Existing methods often struggle with accuracy and computational efficiency.
  • Accurate modeling is crucial for understanding phenomena like boiling and condensation.

Purpose of the Study:

  • To develop an alternative, accurate, and efficient method for simulating heat transport in multiphase lattice Boltzmann (LB) simulations.
  • To address limitations in existing methods, particularly concerning phase transitions and parasitic heat diffusion.
  • To provide a robust tool for modeling complex multiphase flows with heat and mass transfer.

Main Methods:

  • A modified passive scalar approach using additional distribution functions for internal energy.
  • Introduction of special "pseudoforces" to suppress parasitic heat diffusion at density gradients.
  • Finite difference calculations for compression work and heat diffusion.
  • A novel approach to continuously model latent heat release/absorption within a thin transition layer.

Main Results:

  • The proposed method successfully simulates heat transport in multiphase systems.
  • Parasitic heat diffusion near phase boundaries is effectively suppressed.
  • Latent heat of phase transition is accurately accounted for without explicit interface tracking.
  • Galilean invariance and correct scaling of thermal conduction were demonstrated.
  • The method shows low scheme diffusion of internal energy.

Conclusions:

  • The developed lattice Boltzmann method offers a robust and accurate alternative for simulating multiphase heat transport.
  • The technique effectively handles phase transitions and minimizes numerical diffusion.
  • This method is suitable for modeling diverse multiphase flows, including those with high density ratios between phases.