Summary

This study introduces new methods to track swirling inertial particles in fluid dynamics, crucial for applications like sediment transport. These techniques accurately identify particle corelines, moving beyond traditional massless vortex analysis.

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Inertia Tensor01:24

Inertia Tensor

The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
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Equilibrium Conditions for a Particle01:23

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Principle of Linear Impulse and Momentum for a Single Particle01:20

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First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

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Motion Of A Charged Particle In A Magnetic Field01:22

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Irrotational Flow01:28

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