Model of the initial stage of bioactive coating deposition
In this work, we propose a model of the initial stage of bioactive coating deposition with the highlighting of some structural surface element. The mathematical model includes diffusion equations in the solid and liquid phases, taking into account ion transport under the influence of the electric fi...
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| creator | Nazarenko, N. N. Knyazeva, A. G. Demidov, V. N. |
| description | In this work, we propose a model of the initial stage of bioactive coating deposition with the highlighting of some structural surface element. The mathematical model includes diffusion equations in the solid and liquid phases, taking into account ion transport under the influence of the electric field (for each type of ions) and equations for the electric field calculation. The algorithm for numerical realization of the problem was developed. It was demonstrated that the problem for electric potential remains one-dimensional when we have symmetrical boundary conditions. This simplifies the solution of the diffusion problem when studying the dynamics of the initial coating growth for various surface forms. |
| doi_str_mv | 10.1063/1.5013828 |
| format | Conference Proceeding |
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N. ; Knyazeva, A. G. ; Demidov, V. N.</creator><contributor>Psakhie, Sergey G. ; Fomin, Vasily M. ; Panin, Victor E.</contributor><creatorcontrib>Nazarenko, N. N. ; Knyazeva, A. G. ; Demidov, V. N. ; Psakhie, Sergey G. ; Fomin, Vasily M. ; Panin, Victor E.</creatorcontrib><description>In this work, we propose a model of the initial stage of bioactive coating deposition with the highlighting of some structural surface element. The mathematical model includes diffusion equations in the solid and liquid phases, taking into account ion transport under the influence of the electric field (for each type of ions) and equations for the electric field calculation. The algorithm for numerical realization of the problem was developed. It was demonstrated that the problem for electric potential remains one-dimensional when we have symmetrical boundary conditions. This simplifies the solution of the diffusion problem when studying the dynamics of the initial coating growth for various surface forms.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.5013828</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Biological activity ; Boundary conditions ; Deposition ; Diffusion coating ; Electric fields ; Ion transport ; Liquid phases ; Mathematical models</subject><ispartof>AIP conference proceedings, 2017, Vol.1909 (1)</ispartof><rights>Author(s)</rights><rights>2017 Author(s). 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N.</creatorcontrib><title>Model of the initial stage of bioactive coating deposition</title><title>AIP conference proceedings</title><description>In this work, we propose a model of the initial stage of bioactive coating deposition with the highlighting of some structural surface element. The mathematical model includes diffusion equations in the solid and liquid phases, taking into account ion transport under the influence of the electric field (for each type of ions) and equations for the electric field calculation. The algorithm for numerical realization of the problem was developed. It was demonstrated that the problem for electric potential remains one-dimensional when we have symmetrical boundary conditions. This simplifies the solution of the diffusion problem when studying the dynamics of the initial coating growth for various surface forms.</description><subject>Biological activity</subject><subject>Boundary conditions</subject><subject>Deposition</subject><subject>Diffusion coating</subject><subject>Electric fields</subject><subject>Ion transport</subject><subject>Liquid phases</subject><subject>Mathematical models</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2017</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp90E1LAzEQBuAgCtbqwX-w4E3YOslsvrxJsSpUvCh4CzHJ1pS6WTdpwX9vSwvePA0MD-8MLyGXFCYUBN7QCQeKiqkjMqKc01oKKo7JCEA3NWvw_ZSc5bwEYFpKNSK3z8mHVZXaqnyGKnaxRLuqcrGLsFt-xGRdiZtQuWRL7BaVD33KW5W6c3LS2lUOF4c5Jm-z-9fpYz1_eXia3s1rxzSWWiB4rYXCFrgXHrkNrQBoqENNrWyl1ohOcKulQO24VDY06IMG5rxCiWNytc_th_S9DrmYZVoP3fakYZQKYKxRYquu9yq7WOzuP9MP8csOP4aC2XVjqDl08x_epOEPmt63-Au6MWLU</recordid><startdate>20171201</startdate><enddate>20171201</enddate><creator>Nazarenko, N. N.</creator><creator>Knyazeva, A. G.</creator><creator>Demidov, V. N.</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20171201</creationdate><title>Model of the initial stage of bioactive coating deposition</title><author>Nazarenko, N. N. ; Knyazeva, A. G. ; Demidov, V. N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c293t-630d99683f05d6d35aef60041c391a7f79933c65a97639c578ae43de902cd8373</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Biological activity</topic><topic>Boundary conditions</topic><topic>Deposition</topic><topic>Diffusion coating</topic><topic>Electric fields</topic><topic>Ion transport</topic><topic>Liquid phases</topic><topic>Mathematical models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nazarenko, N. N.</creatorcontrib><creatorcontrib>Knyazeva, A. G.</creatorcontrib><creatorcontrib>Demidov, V. N.</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nazarenko, N. N.</au><au>Knyazeva, A. G.</au><au>Demidov, V. N.</au><au>Psakhie, Sergey G.</au><au>Fomin, Vasily M.</au><au>Panin, Victor E.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Model of the initial stage of bioactive coating deposition</atitle><btitle>AIP conference proceedings</btitle><date>2017-12-01</date><risdate>2017</risdate><volume>1909</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>In this work, we propose a model of the initial stage of bioactive coating deposition with the highlighting of some structural surface element. The mathematical model includes diffusion equations in the solid and liquid phases, taking into account ion transport under the influence of the electric field (for each type of ions) and equations for the electric field calculation. The algorithm for numerical realization of the problem was developed. It was demonstrated that the problem for electric potential remains one-dimensional when we have symmetrical boundary conditions. This simplifies the solution of the diffusion problem when studying the dynamics of the initial coating growth for various surface forms.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.5013828</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2017, Vol.1909 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
| recordid | cdi_scitation_primary_10_1063_1_5013828 |
| source | American Institute of Physics (AIP) Journals |
| subjects | Biological activity Boundary conditions Deposition Diffusion coating Electric fields Ion transport Liquid phases Mathematical models |
| title | Model of the initial stage of bioactive coating deposition |
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