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Related Concept Videos

Mesh Analysis01:20

Mesh Analysis

1.6K
Mesh analysis is a valuable method for simplifying circuit analysis using mesh currents as key circuit variables. Unlike nodal analysis, which focuses on determining unknown voltages, mesh analysis applies Kirchhoff's voltage law (KVL) to find unknown currents within a circuit. This method is particularly convenient in reducing the number of simultaneous equations that need to be solved.
A fundamental concept in mesh analysis is the definition of meshes and mesh currents. A mesh is a closed...
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First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

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Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If...
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First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

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Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about...
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Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

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Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law...
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Continuous Charge Distributions01:17

Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
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Accelerating Fluids01:17

Accelerating Fluids

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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:
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Updated: Mar 9, 2026

Finite Element Modeling for the Simulation of the Quasi-Static Compression of Corrugated Tapered Tubes
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Moving Particles Through a Finite Element Mesh.

Adele P Peskin1, Gary R Hardin1

  • 1National Institute of Standards and Technology, Boulder, CO 80303.

Journal of Research of the National Institute of Standards and Technology
|December 24, 2016
PubMed
Summary
This summary is machine-generated.

A new numerical technique models fluid flow around multiple moving objects by tracking particle-fluid interactions without mesh distortion. This simplifies complex simulations for moderate numbers of particles.

Keywords:
finite elementmoving boundarypacked bedsparticles

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Area of Science:

  • Computational fluid dynamics
  • Numerical modeling
  • Particle-laden flows

Background:

  • Modeling fluid flow around multiple moving objects presents challenges in tracking dynamic interactions.
  • Existing methods often involve complex mesh generation and remeshing, especially with multiple particles.

Purpose of the Study:

  • To introduce a novel numerical technique for simulating fluid-particle interactions.
  • To simplify the modeling of fluid flow around multiple moving objects.

Main Methods:

  • A background mesh is used, independent of particle presence, with nodes added where particle boundaries intersect.
  • Particles are represented by geometric figures overlying the mesh, with their movement tracked by updating only particle-defining nodes.
  • Element shape functions are updated as nodes move, avoiding mesh distortion and extensive remeshing.

Main Results:

  • The method effectively tracks dynamic interactions between multiple particles and the fluid.
  • It simplifies the process of modeling fluid flow around moving objects.
  • The technique avoids mesh distortion and reduces the complexity of remeshing.

Conclusions:

  • This numerical technique offers an efficient approach for modeling fluid flow with multiple moving particles.
  • It is particularly suited for scenarios where detailed fluid-particle coupling is crucial.
  • The method simplifies simulation setup and reduces computational overhead.