Resonance oscillations in granular gases

Alexander Goldshtein; Alexander Alexeev; Michael Shapiro

doi:10.1007/3-540-44506-4_16

Resonance oscillations in granular gases

Alexander Goldshtein, Alexander Alexeev, Michael Shapiro

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

The paper is devoted to investigation of a new phenomenon: Resonance oscillations in granular gases produced by a piston vibrating at one end of a closed tube. The main feature of this phenomenon, predicted by a hydrodynamic model and confirmed by computer simulations, are: (i) a column of a granular gas oscillates periodically with the frequency f/n, where f is the vibrationalfrequency, n is a positive integer number, (ii) the oscillation patterns are governed by the shock waves propagating across the column; (iii) the averaged kinetic energy per particle is proportionalto f², and it strongly depends on the vibrational amplitude; (iv) the maximalv alue of this kinetic energy pumped by these externalvibrations is of order f² L², where L is the tube length.

Original language	English
Title of host publication	Lecture Notes in Physics
Publisher	Springer Verlag
Pages	266-277
Number of pages	12
DOIs	https://doi.org/10.1007/3-540-44506-4_16
State	Published - 2001
Externally published	Yes

Publication series

Name	Lecture Notes in Physics
Volume	564
ISSN (Print)	0075-8450
ISSN (Electronic)	1616-6361

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10.1007/3-540-44506-4_16

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title = "Resonance oscillations in granular gases",

abstract = "The paper is devoted to investigation of a new phenomenon: Resonance oscillations in granular gases produced by a piston vibrating at one end of a closed tube. The main feature of this phenomenon, predicted by a hydrodynamic model and confirmed by computer simulations, are: (i) a column of a granular gas oscillates periodically with the frequency f/n, where f is the vibrationalfrequency, n is a positive integer number, (ii) the oscillation patterns are governed by the shock waves propagating across the column; (iii) the averaged kinetic energy per particle is proportionalto f2, and it strongly depends on the vibrational amplitude; (iv) the maximalv alue of this kinetic energy pumped by these externalvibrations is of order f2 L2, where L is the tube length.",

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T1 - Resonance oscillations in granular gases

AU - Goldshtein, Alexander

AU - Alexeev, Alexander

AU - Shapiro, Michael

PY - 2001

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N2 - The paper is devoted to investigation of a new phenomenon: Resonance oscillations in granular gases produced by a piston vibrating at one end of a closed tube. The main feature of this phenomenon, predicted by a hydrodynamic model and confirmed by computer simulations, are: (i) a column of a granular gas oscillates periodically with the frequency f/n, where f is the vibrationalfrequency, n is a positive integer number, (ii) the oscillation patterns are governed by the shock waves propagating across the column; (iii) the averaged kinetic energy per particle is proportionalto f2, and it strongly depends on the vibrational amplitude; (iv) the maximalv alue of this kinetic energy pumped by these externalvibrations is of order f2 L2, where L is the tube length.

AB - The paper is devoted to investigation of a new phenomenon: Resonance oscillations in granular gases produced by a piston vibrating at one end of a closed tube. The main feature of this phenomenon, predicted by a hydrodynamic model and confirmed by computer simulations, are: (i) a column of a granular gas oscillates periodically with the frequency f/n, where f is the vibrationalfrequency, n is a positive integer number, (ii) the oscillation patterns are governed by the shock waves propagating across the column; (iii) the averaged kinetic energy per particle is proportionalto f2, and it strongly depends on the vibrational amplitude; (iv) the maximalv alue of this kinetic energy pumped by these externalvibrations is of order f2 L2, where L is the tube length.

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T3 - Lecture Notes in Physics

SP - 266

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BT - Lecture Notes in Physics

PB - Springer Verlag

ER -

Resonance oscillations in granular gases

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