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Related Concept Videos

Types of Damping01:20

Types of Damping

If the amount of damping in a system is gradually increased, the period and frequency start to become affected because damping opposes, and hence slows, the back and forth motion (the net force is smaller in both directions). If there is a very large amount of damping, the system does not even oscillate; instead, it slowly moves toward equilibrium. In brief, an overdamped system moves slowly towards equilibrium, whereas an underdamped system moves quickly to equilibrium but will oscillate about...
Damped Oscillations01:07

Damped Oscillations

In the real world, oscillations seldom follow true simple harmonic motion. A system that continues its motion indefinitely without losing its amplitude is termed undamped. However, friction of some sort usually dampens the motion, so it fades away or needs more force to continue. For example, a guitar string stops oscillating a few seconds after being plucked. Similarly, one must continually push a swing to keep a child swinging on a playground.
Although friction and other non-conservative...
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Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
Momentum And Radiation Pressure01:20

Momentum And Radiation Pressure

An object absorbing an electromagnetic wave would experience a force in the direction of propagation of the wave. This force occurs because electromagnetic waves contain and transport momentum. The force accounts for the wave's radiation pressure exerted on the object. Maxwell's prediction was confirmed in 1903 by Nichols and Hull by precisely measuring radiation pressures with a torsion balance. The measuring instrument had mirrors suspended from a fiber kept inside a glass container. Nichols...
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
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General External Flow Characteristics

The study of external flow is essential for creating structures and objects that interact efficiently and safely with moving fluids, such as air or water. When a body is immersed in a flowing fluid, it experiences two primary forces: drag, which opposes motion along the flow direction, and lift, which acts perpendicular to the flow. The shape, size, and orientation of the object influence these forces.Streamlined and Blunt Bodies in External FlowObjects in fluid flow are classified as...

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Related Experiment Video

Updated: Jul 13, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

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Published on: December 4, 2017

Cosmic-ray modified flows with effective wave damping.

Inaam Ullah Zaheer1,2,3, S N A Qazi1,2,3, M Jamil1,2,3

  • 1University of Management and Technology, Johar Town Lahore, Pakistan.

Scientific Reports
|July 11, 2026
PubMed
Summary

Non-linear Landau damping (NLLWD) efficiently transfers energy from cosmic rays to plasma via Alfvén waves. This study models NLLWD in the interstellar medium (ISM), revealing its dependence on magnetic fields and astrophysical effects.

Keywords:
Cosmic raysFour-fluid modelHydrodynamic approachNonlinear Landau wave dampingRunge-Kutta 4

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Area of Science:

  • Plasma Physics
  • Astrophysics
  • Cosmic Ray Physics

Background:

  • Non-linear Landau damping (NLLWD) is crucial for cosmic ray confinement and transport.
  • It influences interstellar medium (ISM) thermal balance and cosmic-ray-driven winds.
  • NLLWD involves counter-propagating Alfvén waves transferring energy to thermal plasma.

Purpose of the Study:

  • To investigate cosmic ray propagation in thermal plasma using a hydrodynamic approach.
  • To model the steady-state formation of continuous and shock-type profiles.
  • To analyze the impact of Alfvén wave diffusion and energy transfer on NLLWD.

Main Methods:

  • A four-fluid hydrodynamic model incorporating cosmic rays, thermal plasma, and Alfvén waves.
  • Numerical simulation of coupled integral equations using the Runge-Kutta 4 (RK4) method.
  • Analysis of damping rate dependency on magnetic fields.

Main Results:

  • The model accurately represents steady-state profiles of cosmic ray propagation.
  • Simulations elucidate the influence of diffusion coefficients and energy transfer on NLLWD.
  • An equal contribution of each species to NLLWD was represented.

Conclusions:

  • NLLWD plays a significant role in ISM dynamics and cosmic ray transport.
  • The damping rate is sensitive to magnetic field strength and configuration.
  • Findings have implications for understanding astrophysical phenomena in the ISM.