Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity

A mathematical model of the ion–acoustic turbulence that is known to develop in the plume of hollow cathodes is presented. The model takes the form of a partial differential equation for the ion–acoustic wave energy density that can be solved concurrently with a set of the equations of motion that h...

Full description

Saved in:
Bibliographic Details
Published in:Journal of propulsion and power 2018-07, Vol.34 (4), p.1026-1038
Main Authors: Ortega, Alejandro Lopez, Jorns, Benjamin A, Mikellides, Ioannis G
Format: Article
Language:English
Subjects:
Acoustic waves
Acoustics
Computer simulation
Electrical resistivity
Equations of motion
First principles
Flux density
Hollow cathodes
Mathematical models
Partial differential equations
Turbulence
Wave power
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3
cites cdi_FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3
container_end_page 1038
container_issue 4
container_start_page 1026
container_title Journal of propulsion and power
container_volume 34
creator Ortega, Alejandro Lopez
Jorns, Benjamin A
Mikellides, Ioannis G
description A mathematical model of the ion–acoustic turbulence that is known to develop in the plume of hollow cathodes is presented. The model takes the form of a partial differential equation for the ion–acoustic wave energy density that can be solved concurrently with a set of the equations of motion that have been augmented with anomalous terms to account for the ion–acoustic turbulence-driven transport of momentum and heat for electrons and ions. Numerical simulations in two-dimensional axisymmetric geometry that solve the complete system of these equations show significantly better agreement with plasma measurements compared to a previous idealized model, which assumed complete saturation of the ion–acoustic turbulence and did not account for the growth stage of the waves. In particular, the model is able to predict accurately the location and magnitude of the maximum resistivity to the electron current along the cathode centerline.
doi_str_mv 10.2514/1.B36782
format article
fullrecord <record><control><sourceid>proquest_aiaa_</sourceid><recordid>TN_cdi_aiaa_journals_10_2514_1_B36782</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2161692810</sourcerecordid><originalsourceid>FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3</originalsourceid><addsrcrecordid>eNp90F1LwzAUBuAgCs4p-BMCInjTmTTfl3M4N5goftxa0jRlGV0zk9Sxf2_HBC8Erw7n8PAeeAG4xGiUM0xv8eiOcCHzIzDAjJCMSMGPwQAJKjPKmTwFZzGuEMJccjEAHzPfNH4LJzotfWXhq1t3jU7OtxFuXVpCDacuxJQ9B9cat2lshI89bKCv4dy32dj4LiZn4Lj1a930C3yx0fWnL5d25-Ck1k20Fz9zCN6n92-TWbZ4ephPxotME0xSVpbYkLLGuhYVQpXIVa6l1UgyVQpWa0VoVSvBGKWCGUpURbjBnNekMqWVhgzB1SF3E_xnZ2MqVr4Lbf-yyKkijCtF0L8Kc8xVLvFe3RyUCT7GYOtiE9xah12BUbHvuMDFoeOeXh-odlr_hv1x3z3AeT0</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2161692810</pqid></control><display><type>article</type><title>Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity</title><source>Alma/SFX Local Collection</source><creator>Ortega, Alejandro Lopez ; Jorns, Benjamin A ; Mikellides, Ioannis G</creator><creatorcontrib>Ortega, Alejandro Lopez ; Jorns, Benjamin A ; Mikellides, Ioannis G</creatorcontrib><description>A mathematical model of the ion–acoustic turbulence that is known to develop in the plume of hollow cathodes is presented. The model takes the form of a partial differential equation for the ion–acoustic wave energy density that can be solved concurrently with a set of the equations of motion that have been augmented with anomalous terms to account for the ion–acoustic turbulence-driven transport of momentum and heat for electrons and ions. Numerical simulations in two-dimensional axisymmetric geometry that solve the complete system of these equations show significantly better agreement with plasma measurements compared to a previous idealized model, which assumed complete saturation of the ion–acoustic turbulence and did not account for the growth stage of the waves. In particular, the model is able to predict accurately the location and magnitude of the maximum resistivity to the electron current along the cathode centerline.</description><identifier>ISSN: 0748-4658</identifier><identifier>EISSN: 1533-3876</identifier><identifier>DOI: 10.2514/1.B36782</identifier><language>eng</language><publisher>Reston: American Institute of Aeronautics and Astronautics</publisher><subject>Acoustic waves ; Acoustics ; Computer simulation ; Electrical resistivity ; Equations of motion ; First principles ; Flux density ; Hollow cathodes ; Mathematical models ; Partial differential equations ; Turbulence ; Wave power</subject><ispartof>Journal of propulsion and power, 2018-07, Vol.34 (4), p.1026-1038</ispartof><rights>Copyright © 2018 by the American Institute of Aeronautics and Astronautics, Inc. The U.S. Government has a royalty-free license to exercise all rights under the copyright claimed herein for Governmental purposes. All other rights are reserved by the copyright owner. All requests for copying and permission to reprint should be submitted to CCC at ; employ the ISSN (print) or (online) to initiate your request. See also AIAA Rights and Permissions .</rights><rights>Copyright © 2018 by the American Institute of Aeronautics and Astronautics, Inc. The U.S. Government has a royalty-free license to exercise all rights under the copyright claimed herein for Governmental purposes. All other rights are reserved by the copyright owner. All requests for copying and permission to reprint should be submitted to CCC at www.copyright.com; employ the ISSN 0748-4658 (print) or 1533-3876 (online) to initiate your request. See also AIAA Rights and Permissions www.aiaa.org/randp.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3</citedby><cites>FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,27905,27906</link.rule.ids></links><search><creatorcontrib>Ortega, Alejandro Lopez</creatorcontrib><creatorcontrib>Jorns, Benjamin A</creatorcontrib><creatorcontrib>Mikellides, Ioannis G</creatorcontrib><title>Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity</title><title>Journal of propulsion and power</title><description>A mathematical model of the ion–acoustic turbulence that is known to develop in the plume of hollow cathodes is presented. The model takes the form of a partial differential equation for the ion–acoustic wave energy density that can be solved concurrently with a set of the equations of motion that have been augmented with anomalous terms to account for the ion–acoustic turbulence-driven transport of momentum and heat for electrons and ions. Numerical simulations in two-dimensional axisymmetric geometry that solve the complete system of these equations show significantly better agreement with plasma measurements compared to a previous idealized model, which assumed complete saturation of the ion–acoustic turbulence and did not account for the growth stage of the waves. In particular, the model is able to predict accurately the location and magnitude of the maximum resistivity to the electron current along the cathode centerline.</description><subject>Acoustic waves</subject><subject>Acoustics</subject><subject>Computer simulation</subject><subject>Electrical resistivity</subject><subject>Equations of motion</subject><subject>First principles</subject><subject>Flux density</subject><subject>Hollow cathodes</subject><subject>Mathematical models</subject><subject>Partial differential equations</subject><subject>Turbulence</subject><subject>Wave power</subject><issn>0748-4658</issn><issn>1533-3876</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp90F1LwzAUBuAgCs4p-BMCInjTmTTfl3M4N5goftxa0jRlGV0zk9Sxf2_HBC8Erw7n8PAeeAG4xGiUM0xv8eiOcCHzIzDAjJCMSMGPwQAJKjPKmTwFZzGuEMJccjEAHzPfNH4LJzotfWXhq1t3jU7OtxFuXVpCDacuxJQ9B9cat2lshI89bKCv4dy32dj4LiZn4Lj1a930C3yx0fWnL5d25-Ck1k20Fz9zCN6n92-TWbZ4ephPxotME0xSVpbYkLLGuhYVQpXIVa6l1UgyVQpWa0VoVSvBGKWCGUpURbjBnNekMqWVhgzB1SF3E_xnZ2MqVr4Lbf-yyKkijCtF0L8Kc8xVLvFe3RyUCT7GYOtiE9xah12BUbHvuMDFoeOeXh-odlr_hv1x3z3AeT0</recordid><startdate>20180701</startdate><enddate>20180701</enddate><creator>Ortega, Alejandro Lopez</creator><creator>Jorns, Benjamin A</creator><creator>Mikellides, Ioannis G</creator><general>American Institute of Aeronautics and Astronautics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20180701</creationdate><title>Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity</title><author>Ortega, Alejandro Lopez ; Jorns, Benjamin A ; Mikellides, Ioannis G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Acoustic waves</topic><topic>Acoustics</topic><topic>Computer simulation</topic><topic>Electrical resistivity</topic><topic>Equations of motion</topic><topic>First principles</topic><topic>Flux density</topic><topic>Hollow cathodes</topic><topic>Mathematical models</topic><topic>Partial differential equations</topic><topic>Turbulence</topic><topic>Wave power</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ortega, Alejandro Lopez</creatorcontrib><creatorcontrib>Jorns, Benjamin A</creatorcontrib><creatorcontrib>Mikellides, Ioannis G</creatorcontrib><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of propulsion and power</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ortega, Alejandro Lopez</au><au>Jorns, Benjamin A</au><au>Mikellides, Ioannis G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity</atitle><jtitle>Journal of propulsion and power</jtitle><date>2018-07-01</date><risdate>2018</risdate><volume>34</volume><issue>4</issue><spage>1026</spage><epage>1038</epage><pages>1026-1038</pages><issn>0748-4658</issn><eissn>1533-3876</eissn><abstract>A mathematical model of the ion–acoustic turbulence that is known to develop in the plume of hollow cathodes is presented. The model takes the form of a partial differential equation for the ion–acoustic wave energy density that can be solved concurrently with a set of the equations of motion that have been augmented with anomalous terms to account for the ion–acoustic turbulence-driven transport of momentum and heat for electrons and ions. Numerical simulations in two-dimensional axisymmetric geometry that solve the complete system of these equations show significantly better agreement with plasma measurements compared to a previous idealized model, which assumed complete saturation of the ion–acoustic turbulence and did not account for the growth stage of the waves. In particular, the model is able to predict accurately the location and magnitude of the maximum resistivity to the electron current along the cathode centerline.</abstract><cop>Reston</cop><pub>American Institute of Aeronautics and Astronautics</pub><doi>10.2514/1.B36782</doi><tpages>13</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0748-4658
ispartof Journal of propulsion and power, 2018-07, Vol.34 (4), p.1026-1038
issn 0748-4658
1533-3876
language eng
recordid cdi_aiaa_journals_10_2514_1_B36782
source Alma/SFX Local Collection
subjects Acoustic waves
Acoustics
Computer simulation
Electrical resistivity
Equations of motion
First principles
Flux density
Hollow cathodes
Mathematical models
Partial differential equations
Turbulence
Wave power
title Hollow Cathode Simulations with a First-Principles Model of Ion-Acoustic Anomalous Resistivity
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-18T21%3A53%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_aiaa_&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Hollow%20Cathode%20Simulations%20with%20a%20First-Principles%20Model%20of%20Ion-Acoustic%20Anomalous%20Resistivity&rft.jtitle=Journal%20of%20propulsion%20and%20power&rft.au=Ortega,%20Alejandro%20Lopez&rft.date=2018-07-01&rft.volume=34&rft.issue=4&rft.spage=1026&rft.epage=1038&rft.pages=1026-1038&rft.issn=0748-4658&rft.eissn=1533-3876&rft_id=info:doi/10.2514/1.B36782&rft_dat=%3Cproquest_aiaa_%3E2161692810%3C/proquest_aiaa_%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a313t-bb1c3bf1af7d00d7292a8ea0859b75fa934df97554475c439d36c166f3dcbe8c3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2161692810&rft_id=info:pmid/&rfr_iscdi=true