Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust

Abstract The present study focuses on the Rayleigh equation derived in the case of a Hall thruster plasma having dust contamination, produced near the exit of the channel due to the finite divergence of the accelerated ions and the sputtering of the walls. In the presence of negatively charged dust...

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Main Authors: Jasvendra Tyagi, Dimple Sharma, Hitendra K. Malik
Format: Article
Language:English
Published: Oxford International Collaboration Centre Press (OICC press) 2018-08-01
Series:Journal of Theoretical and Applied Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/s40094-018-0300-5
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author Jasvendra Tyagi
Dimple Sharma
Hitendra K. Malik
author_facet Jasvendra Tyagi
Dimple Sharma
Hitendra K. Malik
author_sort Jasvendra Tyagi
collection DOAJ
description Abstract The present study focuses on the Rayleigh equation derived in the case of a Hall thruster plasma having dust contamination, produced near the exit of the channel due to the finite divergence of the accelerated ions and the sputtering of the walls. In the presence of negatively charged dust particles, a modified form of the well-known Rayleigh equation of fluid dynamics is realized. The modified equation takes the form of the Rayleigh equation for a particular band of oscillation frequency, revealing that the Rayleigh instability shall occur in the thruster only for the oscillations having frequencies within this band. For better understanding, the variation of frequency band with various parameters, viz. dust density, dust charge number, dust mass, electron temperature and ion density, has been traced out.
format Article
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language English
publishDate 2018-08-01
publisher Oxford International Collaboration Centre Press (OICC press)
record_format Article
series Journal of Theoretical and Applied Physics
spelling doaj-art-9dafb160354341c7afbca92d39849f772025-08-20T01:59:34ZengOxford International Collaboration Centre Press (OICC press)Journal of Theoretical and Applied Physics2251-72272251-72352018-08-0112322723310.1007/s40094-018-0300-5Discussion on Rayleigh equation obtained for a Hall thruster plasma with dustJasvendra Tyagi0Dimple Sharma1Hitendra K. Malik2Plasma Waves and Particle Acceleration Laboratory, Department of Physics, Indian Institute of Technology DelhiPlasma Waves and Particle Acceleration Laboratory, Department of Physics, Indian Institute of Technology DelhiPlasma Waves and Particle Acceleration Laboratory, Department of Physics, Indian Institute of Technology DelhiAbstract The present study focuses on the Rayleigh equation derived in the case of a Hall thruster plasma having dust contamination, produced near the exit of the channel due to the finite divergence of the accelerated ions and the sputtering of the walls. In the presence of negatively charged dust particles, a modified form of the well-known Rayleigh equation of fluid dynamics is realized. The modified equation takes the form of the Rayleigh equation for a particular band of oscillation frequency, revealing that the Rayleigh instability shall occur in the thruster only for the oscillations having frequencies within this band. For better understanding, the variation of frequency band with various parameters, viz. dust density, dust charge number, dust mass, electron temperature and ion density, has been traced out.http://link.springer.com/article/10.1007/s40094-018-0300-5Hall thruster channelPlasma with dust particlesRayleigh equationLower cutoff frequencyUpper cutoff frequency
spellingShingle Jasvendra Tyagi
Dimple Sharma
Hitendra K. Malik
Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust
Journal of Theoretical and Applied Physics
Hall thruster channel
Plasma with dust particles
Rayleigh equation
Lower cutoff frequency
Upper cutoff frequency
title Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust
title_full Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust
title_fullStr Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust
title_full_unstemmed Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust
title_short Discussion on Rayleigh equation obtained for a Hall thruster plasma with dust
title_sort discussion on rayleigh equation obtained for a hall thruster plasma with dust
topic Hall thruster channel
Plasma with dust particles
Rayleigh equation
Lower cutoff frequency
Upper cutoff frequency
url http://link.springer.com/article/10.1007/s40094-018-0300-5
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