Analytical solutions to validate 3D numerical methods for solving direct ultraviolet photoionization and charge recombination of aerosol nanoparticles with laminar flow in circular ducts
This work analyzes UV photocharging of aerosol particles in a cylindrical duct and develops analytical solutions to particular cases. A three-dimensional (3D) numerical method is also developed in order to be used as an example of validation. These methods consider diffusion, photoionization, recomb...
Saved in:
Published in | Journal of applied physics Vol. 128; no. 8 |
---|---|
Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Melville
American Institute of Physics
28.08.2020
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | This work analyzes UV photocharging of aerosol particles in a cylindrical duct and develops analytical solutions to particular cases. A three-dimensional (3D) numerical method is also developed in order to be used as an example of validation. These methods consider diffusion, photoionization, recombination, and advection by both a fluid and an electric field in a three-dimensional space. In the first place, governing equations are developed to clarify misleading equations found in a previous literature. These equations are then used in analytical methods to find solutions for these particular cases: diffusion only, electric field only, electric field plus photoionization, and, finally, electric field plus recombination. An analysis of these solutions shows the existence of shock/rarefaction waves in the evolution of charged particles’ concentration inside the duct, a very interesting phenomenon that cannot be captured using zero-dimensional (0D) numerical models or a dimensional analysis. The numerical method of lines is applied to generate an axisymmetrical 3D numerical model that is validated using the analytical solutions. A good agreement between the numerical and analytical solutions was obtained despite the simplicity of the numerical method. The paper also comments on the advantages of using the presented methods for the prediction of concentration values against the use of non-dimensional parameters in 0D models. |
---|---|
AbstractList | This work analyzes UV photocharging of aerosol particles in a cylindrical duct and develops analytical solutions to particular cases. A three-dimensional (3D) numerical method is also developed in order to be used as an example of validation. These methods consider diffusion, photoionization, recombination, and advection by both a fluid and an electric field in a three-dimensional space. In the first place, governing equations are developed to clarify misleading equations found in a previous literature. These equations are then used in analytical methods to find solutions for these particular cases: diffusion only, electric field only, electric field plus photoionization, and, finally, electric field plus recombination. An analysis of these solutions shows the existence of shock/rarefaction waves in the evolution of charged particles’ concentration inside the duct, a very interesting phenomenon that cannot be captured using zero-dimensional (0D) numerical models or a dimensional analysis. The numerical method of lines is applied to generate an axisymmetrical 3D numerical model that is validated using the analytical solutions. A good agreement between the numerical and analytical solutions was obtained despite the simplicity of the numerical method. The paper also comments on the advantages of using the presented methods for the prediction of concentration values against the use of non-dimensional parameters in 0D models. |
Author | Menéndez-Blanco, Alberto Fernández-Díaz, Julio M. Palacios, Sergio L. |
Author_xml | – sequence: 1 givenname: Julio M. surname: Fernández-Díaz fullname: Fernández-Díaz, Julio M. organization: Department of Physics, University of Oviedo – sequence: 2 givenname: Sergio L. surname: Palacios fullname: Palacios, Sergio L. organization: Department of Physics, University of Oviedo – sequence: 3 givenname: Alberto surname: Menéndez-Blanco fullname: Menéndez-Blanco, Alberto organization: Fluid Mechanics Area, Department of Energy, University of Oviedo |
BookMark | eNp90c1O3DAQB3CrolIXyoE3GKknkAL-SGLniKB8SEhc2nM0cRzWyLG3trMIHo2nq5flzGkkz09_eWYOyYEP3hBywug5o624aM4pZZJ26htZMaq6SjYNPSArSjmrVCe7H-QwpeeCmBLdirxfenSv2Wp0kIJbsg0-QQ6wRWdHzAbENfhlNvGDzCavw5hgCnHHt9Y_wWij0RkWlyNubXAmw2YdcihJ9g13gYB-BL3G-GSg2DAP1u8bYQI0MZQo8OjDBmP5ijMJXmxeg8O5wAiTCy9gPWgb9eLKw7jonH6S7xO6ZI4_6xH5e_P7z9Vd9fB4e391-VBp3vBcTRPWVJpaNFJSPrZqqFG0fFA1l6IeWqzrdqAjGsUbFFOnWyZKnys5CiYHIY7Ir33uJoZ_i0m5fw5LLGtLPa-FkrITQhZ1ule6jJOimfpNtDPG157Rfneavuk_T1Ps2d4mbfPHIr7A_wE6E5Rd |
CODEN | JAPIAU |
Cites_doi | 10.1002/aic.690060204 10.1209/0295-5075/78/56002 10.1016/S0021-8502(00)91017-6 10.1016/0021-8502(95)00561-7 10.1063/1.1446237 10.1016/S0021-8502(21)00320-7 10.1137/S0036144595293534 10.1115/1.3580091 10.1016/S0021-9797(78)80008-3 10.1016/0021-9797(76)90317-9 10.1063/1.4972335 10.1080/02786820802054244 10.1016/S0017-9310(98)00257-9 10.1016/j.physd.2009.11.010 |
ContentType | Journal Article |
Copyright | Author(s) 2020 Author(s). Published under license by AIP Publishing. |
Copyright_xml | – notice: Author(s) – notice: 2020 Author(s). Published under license by AIP Publishing. |
DBID | AAYXX CITATION 8FD H8D L7M |
DOI | 10.1063/5.0017098 |
DatabaseName | CrossRef Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace |
DatabaseTitle | CrossRef Technology Research Database Aerospace Database Advanced Technologies Database with Aerospace |
DatabaseTitleList | CrossRef Technology Research Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Engineering Physics |
EISSN | 1089-7550 |
ExternalDocumentID | 10_1063_5_0017098 jap |
GroupedDBID | -DZ -~X .DC 1UP 2-P 29J 4.4 53G 5GY 5VS 85S AAAAW AABDS AAEUA AAIKC AAMNW AAPUP AAYIH ABFTF ABJNI ABZEH ACBEA ACBRY ACGFO ACGFS ACLYJ ACNCT ACZLF ADCTM AEGXH AEJMO AENEX AFATG AFHCQ AGKCL AGLKD AGMXG AGTJO AHSDT AIAGR AIDUJ AJJCW AJQPL ALEPV ALMA_UNASSIGNED_HOLDINGS AQWKA ATXIE AWQPM BPZLN CS3 D0L DU5 EBS ESX F5P FDOHQ FFFMQ HAM M6X M71 M73 N9A NPSNA O-B P2P RIP RNS RQS RXW SC5 TAE TN5 TWZ UCJ UHB UPT WH7 XSW YQT YZZ ZCA ~02 AAYXX BDMKI CITATION 8FD H8D L7M |
ID | FETCH-LOGICAL-c252t-ffa407e4357702d68b4a362b842734b6a446b0dae825a3f9c613362287d317b33 |
ISSN | 0021-8979 |
IngestDate | Fri Sep 13 08:55:42 EDT 2024 Fri Aug 23 02:25:52 EDT 2024 Fri Jun 21 00:14:24 EDT 2024 |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 8 |
Language | English |
License | 0021-8979/2020/128(8)/084904/15/$30.00 Published under license by AIP Publishing. |
LinkModel | OpenURL |
MergedId | FETCHMERGED-LOGICAL-c252t-ffa407e4357702d68b4a362b842734b6a446b0dae825a3f9c613362287d317b33 |
ORCID | 0000-0003-3544-1466 0000-0002-3475-7090 0000-0002-2283-4511 |
PQID | 2438779337 |
PQPubID | 2050677 |
PageCount | 15 |
ParticipantIDs | proquest_journals_2438779337 crossref_primary_10_1063_5_0017098 scitation_primary_10_1063_5_0017098 |
PublicationCentury | 2000 |
PublicationDate | 20200828 2020-08-28 |
PublicationDateYYYYMMDD | 2020-08-28 |
PublicationDate_xml | – month: 08 year: 2020 text: 20200828 day: 28 |
PublicationDecade | 2020 |
PublicationPlace | Melville |
PublicationPlace_xml | – name: Melville |
PublicationTitle | Journal of applied physics |
PublicationYear | 2020 |
Publisher | American Institute of Physics |
Publisher_xml | – name: American Institute of Physics |
References | Newman (c19) 1969 Fernández-Díaz, Gómez-García, Argüelles Díaz (c4) 2001 Hontañon, Kruis (c8) 2008 Brown (c17) 1960 Bowen, Levine, Epstein (c18) 1976 Kerouanton, Tymen, Boulaud (c15) 1996 Delgado (c23) 1997 Gormley, Kennedy (c16) 1949 Maisels, Jordan, Fissan (c9) 2002 Fernández-Díaz, Gómez-García (c7) 2010 Gelbard, Seinfeld (c3) 1978 Maisels, Kruis, Fissan (c5) 2000 Fernández-Díaz, Gómez-García (c6) 2007 Nishida, Boies, Hochgreb (c13) 2017 Housiadas, Ezquerra Larrode, Drossinos (c22) 1999 (2023070323263394000_c4) 2001; 32 (2023070323263394000_c3) 1978; 63 (2023070323263394000_c20) 1988 (2023070323263394000_c16) 1949; 52 (2023070323263394000_c2) 1991 (2023070323263394000_c13) 2017; 121 (2023070323263394000_c18) 1976; 54 (2023070323263394000_c1) 2000 (2023070323263394000_c22) 1999; 42 (2023070323263394000_c5) 2000; 31 (2023070323263394000_c11) 2009 (2023070323263394000_c15) 1996; 27 (2023070323263394000_c12) 1993 (2023070323263394000_c21) 2017 (2023070323263394000_c7) 2010; 239 (2023070323263394000_c8) 2008; 42 (2023070323263394000_c19) 1969; 91 (2023070323263394000_c17) 1960; 6 (2023070323263394000_c9) 2002; 91 (2023070323263394000_c23) 1997; 39 (2023070323263394000_c14) 1962 (2023070323263394000_c6) 2007; 78 (2023070323263394000_c10) 1993 |
References_xml | – start-page: S709 year: 2001 ident: c4 article-title: Coagulation of generally mixed multicomponent aerosol with electrical effects publication-title: J. Aerosol Sci. contributor: fullname: Argüelles Díaz – start-page: 1007 year: 2000 ident: c5 article-title: Synthesis of composite nanoparticle pairs publication-title: J. Aerosol Sci. contributor: fullname: Fissan – start-page: 310 year: 2008 ident: c8 article-title: Single charging of nanoparticles by UV photoionization at high flow rates publication-title: Aerosol Sci. Technol. contributor: fullname: Kruis – start-page: 472 year: 1978 ident: c3 article-title: Coagulation and growth of a multicomponent aerosol publication-title: J. Colloid Interface Sci. contributor: fullname: Seinfeld – start-page: 279 year: 2010 ident: c7 article-title: Exact solution of a coagulation equation with a product kernel in the multicomponent case publication-title: Physica D contributor: fullname: Gómez-García – start-page: 345 year: 1996 ident: c15 article-title: Small particle diffusion penetration of an annular duct compared to other geometries publication-title: J. Aerosol Sci. contributor: fullname: Boulaud – start-page: 163 year: 1949 ident: c16 article-title: Diffusion from a stream flowing through a cylindrical tube publication-title: Proc. R. Ir. Acad. contributor: fullname: Kennedy – start-page: 179 year: 1960 ident: c17 article-title: Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit publication-title: A.I.Ch.E. J. contributor: fullname: Brown – start-page: 298 year: 1997 ident: c23 article-title: The Lagrange–Charpit method publication-title: SIAM Rev. contributor: fullname: Delgado – start-page: 3377 year: 2002 ident: c9 article-title: Dynamics of the aerosol particle photocharging process publication-title: J. Appl. Phys. contributor: fullname: Fissan – start-page: 56002 year: 2007 ident: c6 article-title: Exact solution of Smoluchowski’s continuous multi-component equation with an additive kernel publication-title: Europhys. Lett. contributor: fullname: Gómez-García – start-page: 3013 year: 1999 ident: c22 article-title: Numerical evaluation of the Graetz series publication-title: Int. J. Heat Mass Transfer contributor: fullname: Drossinos – start-page: 375 year: 1976 ident: c18 article-title: Fine particle deposition in laminar flow through parallel-plate and cylindrical channels publication-title: J. Colloid Interface Sci. contributor: fullname: Epstein – start-page: 023104 year: 2017 ident: c13 article-title: Modelling of direct ultraviolet photoionization and charge recombination of aerosol nanoparticles in continuous flow publication-title: J. Appl. Phys. contributor: fullname: Hochgreb – start-page: 177 year: 1969 ident: c19 article-title: Extension of the Lévêque solution publication-title: J. Heat Transfer contributor: fullname: Newman – volume: 6 start-page: 179 year: 1960 ident: 2023070323263394000_c17 article-title: Heat or mass transfer in a fluid in laminar flow in a circular or flat conduit publication-title: A.I.Ch.E. J. doi: 10.1002/aic.690060204 – volume-title: Modeling of Atmospheric Chemistry year: 2017 ident: 2023070323263394000_c21 – volume-title: A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab year: 2009 ident: 2023070323263394000_c11 – volume: 52 start-page: 163 year: 1949 ident: 2023070323263394000_c16 article-title: Diffusion from a stream flowing through a cylindrical tube publication-title: Proc. R. Ir. Acad. – volume-title: Partial Differential Equations for Scientists and Engineers year: 1993 ident: 2023070323263394000_c10 – volume-title: Aerosol Science, Theory and Practice year: 1991 ident: 2023070323263394000_c2 – volume: 78 start-page: 56002 year: 2007 ident: 2023070323263394000_c6 article-title: Exact solution of Smoluchowski’s continuous multi-component equation with an additive kernel publication-title: Europhys. Lett. doi: 10.1209/0295-5075/78/56002 – volume-title: Aerosol Science and Technology year: 1993 ident: 2023070323263394000_c12 – volume: 31 start-page: 1007 issue: Suppl. 1 year: 2000 ident: 2023070323263394000_c5 article-title: Synthesis of composite nanoparticle pairs publication-title: J. Aerosol Sci. doi: 10.1016/S0021-8502(00)91017-6 – volume: 27 start-page: 345 year: 1996 ident: 2023070323263394000_c15 article-title: Small particle diffusion penetration of an annular duct compared to other geometries publication-title: J. Aerosol Sci. doi: 10.1016/0021-8502(95)00561-7 – volume: 91 start-page: 3377 year: 2002 ident: 2023070323263394000_c9 article-title: Dynamics of the aerosol particle photocharging process publication-title: J. Appl. Phys. doi: 10.1063/1.1446237 – volume: 32 start-page: S709 year: 2001 ident: 2023070323263394000_c4 article-title: Coagulation of generally mixed multicomponent aerosol with electrical effects publication-title: J. Aerosol Sci. doi: 10.1016/S0021-8502(21)00320-7 – volume: 39 start-page: 298 year: 1997 ident: 2023070323263394000_c23 article-title: The Lagrange–Charpit method publication-title: SIAM Rev. doi: 10.1137/S0036144595293534 – volume: 91 start-page: 177 year: 1969 ident: 2023070323263394000_c19 article-title: Extension of the Lévêque solution publication-title: J. Heat Transfer doi: 10.1115/1.3580091 – volume: 63 start-page: 472 year: 1978 ident: 2023070323263394000_c3 article-title: Coagulation and growth of a multicomponent aerosol publication-title: J. Colloid Interface Sci. doi: 10.1016/S0021-9797(78)80008-3 – volume: 54 start-page: 375 year: 1976 ident: 2023070323263394000_c18 article-title: Fine particle deposition in laminar flow through parallel-plate and cylindrical channels publication-title: J. Colloid Interface Sci. doi: 10.1016/0021-9797(76)90317-9 – volume: 121 start-page: 023104 year: 2017 ident: 2023070323263394000_c13 article-title: Modelling of direct ultraviolet photoionization and charge recombination of aerosol nanoparticles in continuous flow publication-title: J. Appl. Phys. doi: 10.1063/1.4972335 – volume-title: Classical Electrodynamics year: 1962 ident: 2023070323263394000_c14 – volume: 42 start-page: 310 year: 2008 ident: 2023070323263394000_c8 article-title: Single charging of nanoparticles by UV photoionization at high flow rates publication-title: Aerosol Sci. Technol. doi: 10.1080/02786820802054244 – volume: 42 start-page: 3013 year: 1999 ident: 2023070323263394000_c22 article-title: Numerical evaluation of the Graetz series publication-title: Int. J. Heat Mass Transfer doi: 10.1016/S0017-9310(98)00257-9 – volume-title: Survey of Numerical Mathematics year: 1988 ident: 2023070323263394000_c20 – volume-title: Smoke, Dust and Haze year: 2000 ident: 2023070323263394000_c1 – volume: 239 start-page: 279 year: 2010 ident: 2023070323263394000_c7 article-title: Exact solution of a coagulation equation with a product kernel in the multicomponent case publication-title: Physica D doi: 10.1016/j.physd.2009.11.010 |
SSID | ssj0011839 |
Score | 2.3746834 |
Snippet | This work analyzes UV photocharging of aerosol particles in a cylindrical duct and develops analytical solutions to particular cases. A three-dimensional (3D)... |
SourceID | proquest crossref scitation |
SourceType | Aggregation Database Publisher |
SubjectTerms | Applied physics Charged particles Dimensional analysis Ducts Electric fields Exact solutions Laminar flow Mathematical models Method of lines Methods Nanoparticles Numerical analysis Numerical methods Numerical models Photoionization Rarefaction Three dimensional models |
Title | Analytical solutions to validate 3D numerical methods for solving direct ultraviolet photoionization and charge recombination of aerosol nanoparticles with laminar flow in circular ducts |
URI | http://dx.doi.org/10.1063/5.0017098 https://www.proquest.com/docview/2438779337/abstract/ |
Volume | 128 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnZ3dbtMwFMetMoSACwQDRGGgI-AuymhiJ3YugW6a0DZ20Uq7i5zEGZWiZOpSIe3ReBVehuOPfBRtCLiJoqRy0p5f7b-Pzzkm5D0q-kQVEpWbYrHP8OgLFL4-ju1RUTAleaKzkU9O46Ml-3IenU8mP0dRS5s228-vb8wr-R-r4jW0q86S_QfL9o3iBTxH--IRLYzHv7KxqShindH9g7SYxGes9Ezeo3Ov3tg1mcptFm3qL-iPG0-CHdG8TdWupVmjb73Lb03baC-tTdC0iW-6npLeYAW_BU6le5kpFQ6yTeXVssbJt4uxs75dJE2n-npl1XzXTpV8tbYhr7rA7NUtmlg6TWz9LUNqilrXZkU_0B5vf27O5_K6S_BuBp_umaxkvrKxg9gPXuC93r19omwriWnlU4XAuyQfHV3ejB0goQm_cwnlQ86BrLejK85G79mlLQS-SOzONfvK9vYzkfg8spVv--EgFCPuxY3DDOo6ZEN74wI-s7tob5fyPv2aHi6Pj9PFwfniDrkb8iTiJq60jz8KtDS18Uf2vbqyVzH90De8LZaGGdB9lEc2UmMkhhaPySNnMfhoLf6ETFS9Sx6Oalvuknvut3lKfgyYQo8ptA10mAKdQ48pOEwBMQWHKVhMYYQp_IYpIKZgMYUtTKEpwWEKW5iCxhQcpqAxhVUNHaZgMH1GlocHi89HvtsyxM_DKGz9spRshh0OjTifhUUsMiZRomWC6TJOWSwZi7NZIZUII0nLJEc1i_dDwQsU0hmlz8lO3dTqBYGMR0rFJYtpwJjIpQgkK3mgGOM5zcNsSt52tkkvbWWY1ER0xDSNUmfAKdnrrJa6juMqDRkVHMdFyqfkXW_J2xt5-edGXpEHw99ij-y06416jUq5zd4Y4n4BCXzJ3g |
link.rule.ids | 315,786,790,27957,27958,76747 |
linkProvider | American Institute of Physics |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Nb9QwEB2VVqhw4KOA2FLKCLhmu4md2DkioNpC21Mr9RbZiSMWQhJtElXqT-PXdWxntwsSEuKSi50oHxPPe-PnZ4D3hOhTUyhCboYnAadjIAn4BpTb46LgRonUrkY-O0_ml_zLVXw1anPsWhi6iW6qFq2bxP-u2qPxBQYVYc6hvTMcSNiRrYaEYpbKe7BjPWmEU-6tFR6hTf5e4REGMhXpylho89Tf09EdxtylBOTnwjfSzfFjv6equ1GnMvkxHXo9zW_-8HD87yd5Ao9GIIoffPensGXqPXi4YU-4B_edPDTvnsEv513iyt64DlbsG6Q4XdiaAbJPWA9-9qdCvy11hwSIbXdbs0CfO3Go-qVyaoAe229N39h6sF8Kiqou0Dk3GbQ8_SeRdt_QlKgMvb-mwlrVRPNHNR_aKjJSTNtFxVhWzTUuaswXSyeuRWtl2z2Hy-PPFx_nwbjrQ5BHcdQHZamIZBqCcULMoiKRmivKslpy68SjE0UEVs8KZYjbKlamOQESaifmVxAW0oy9gO26qc1LQC1iY5KSJ4xoo8yVDBUvRWg4FznLIz2Bt6uPn7Xe3CNzk_IJy-Js_CQTOFiFRTb-310WcSYFDW1MTODdOlT-fpH9f-r1BnbnF2en2enJ-ddX8CCy1H5GA5k8gO1-OZjXhH96feii_BaJxQMn |
openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Analytical+solutions+to+validate+3D+numerical+methods+for+solving+direct+ultraviolet+photoionization+and+charge+recombination+of+aerosol+nanoparticles+with+laminar+flow+in+circular+ducts&rft.jtitle=Journal+of+applied+physics&rft.au=Fern%C3%A1ndez-D%C3%ADaz%2C+Julio+M&rft.au=Palacios%2C+Sergio+L&rft.au=Men%C3%A9ndez-Blanco%2C+Alberto&rft.date=2020-08-28&rft.pub=American+Institute+of+Physics&rft.issn=0021-8979&rft.eissn=1089-7550&rft.volume=128&rft.issue=8&rft_id=info:doi/10.1063%2F5.0017098&rft.externalDBID=NO_FULL_TEXT |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0021-8979&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0021-8979&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0021-8979&client=summon |