Computer simulation of two-dimensional unsteady-state heat conduction problems for inhomogeneous bodies by the FEM
The process of heat transfer in a plate of inhomogeneous material is investigated in the article, based on the solution of a two-dimensional problem of heat conduction by the finite element method. Straight-sided finite elements are used to solve the plane problem of heat conduction. Basic relations...
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| creator | Polatov, Askhad Ikramov, Akhmat Jumaniyozov, Sardor Sapayev, Shikhnazar |
| description | The process of heat transfer in a plate of inhomogeneous material is investigated in the article, based on the solution of a two-dimensional problem of heat conduction by the finite element method. Straight-sided finite elements are used to solve the plane problem of heat conduction. Basic relations for linear triangular finite elements are given. On the basis of the developed solution algorithm and software, the numerical solution of a two-dimensional problem of thermal conductivity of a plate made of an inhomogeneous material and a plate containing an isolated square cutout in the center is investigated. The solutions to the test problem correspond to the results obtained by the finite difference method. The temperature field distributions are studied and isotherms of the temperature distribution in the plate are given. The influence of concentrators on the formation of an inhomogeneous temperature field is investigated. |
| doi_str_mv | 10.1063/5.0144813 |
| format | Conference Proceeding |
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Straight-sided finite elements are used to solve the plane problem of heat conduction. Basic relations for linear triangular finite elements are given. On the basis of the developed solution algorithm and software, the numerical solution of a two-dimensional problem of thermal conductivity of a plate made of an inhomogeneous material and a plate containing an isolated square cutout in the center is investigated. The solutions to the test problem correspond to the results obtained by the finite difference method. The temperature field distributions are studied and isotherms of the temperature distribution in the plate are given. 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Straight-sided finite elements are used to solve the plane problem of heat conduction. Basic relations for linear triangular finite elements are given. On the basis of the developed solution algorithm and software, the numerical solution of a two-dimensional problem of thermal conductivity of a plate made of an inhomogeneous material and a plate containing an isolated square cutout in the center is investigated. The solutions to the test problem correspond to the results obtained by the finite difference method. The temperature field distributions are studied and isotherms of the temperature distribution in the plate are given. The influence of concentrators on the formation of an inhomogeneous temperature field is investigated.</description><subject>Algorithms</subject><subject>Conduction heating</subject><subject>Conductive heat transfer</subject><subject>Finite difference method</subject><subject>Finite element method</subject><subject>Temperature distribution</subject><subject>Thermal conductivity</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2023</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotkF9LwzAUxYMoOKcPfoOAb0I1N2n-7FHGpsLEFwXfStLcuo62qU2K7Ntbtz0dOJx7Ob9DyC2wB2BKPMoHBnluQJyRGUgJmVagzsmMsUWe8Vx8XZKrGHeM8YXWZkaGZWj7MeFAY92OjU116GioaPoNma9b7OJk2IaOXUxo_T6LySakW7SJlqHzY3m46IfgGmwjrcJA624b2vCNHYYxUhd8jZPsadoiXa_erslFZZuINyedk8_16mP5km3en1-XT5usByFSpj2AWQjJnWel4tqAcwY5WOfKUk2sSuUWpDK5d0wwMCi9AAeoXCWZdmJO7o5_p3I_I8ZU7MI4TDCx4IYLnXPG9ZS6P6ZiWacDftEPdWuHfQGs-N-0kMVpU_EHkjpqIw</recordid><startdate>20230608</startdate><enddate>20230608</enddate><creator>Polatov, Askhad</creator><creator>Ikramov, Akhmat</creator><creator>Jumaniyozov, Sardor</creator><creator>Sapayev, Shikhnazar</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20230608</creationdate><title>Computer simulation of two-dimensional unsteady-state heat conduction problems for inhomogeneous bodies by the FEM</title><author>Polatov, Askhad ; Ikramov, Akhmat ; Jumaniyozov, Sardor ; Sapayev, Shikhnazar</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p133t-7d1189352bd0c62781bb8e21abbcc6063664a15684db03018e5d31b1e6bf507b3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Algorithms</topic><topic>Conduction heating</topic><topic>Conductive heat transfer</topic><topic>Finite difference method</topic><topic>Finite element method</topic><topic>Temperature distribution</topic><topic>Thermal conductivity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Polatov, Askhad</creatorcontrib><creatorcontrib>Ikramov, Akhmat</creatorcontrib><creatorcontrib>Jumaniyozov, Sardor</creatorcontrib><creatorcontrib>Sapayev, Shikhnazar</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>Polatov, Askhad</au><au>Ikramov, Akhmat</au><au>Jumaniyozov, Sardor</au><au>Sapayev, Shikhnazar</au><au>Karimov, Erkinjon</au><au>Erdogan, Abdullah S.</au><au>Khudoyberdiyev, Abror</au><au>Ashyralyyev, Charyyar</au><au>Kabulov, Anvar</au><au>Aripov, Mersaid</au><au>Ashyralyev, Allaberen</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Computer simulation of two-dimensional unsteady-state heat conduction problems for inhomogeneous bodies by the FEM</atitle><btitle>AIP conference proceedings</btitle><date>2023-06-08</date><risdate>2023</risdate><volume>2781</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>The process of heat transfer in a plate of inhomogeneous material is investigated in the article, based on the solution of a two-dimensional problem of heat conduction by the finite element method. Straight-sided finite elements are used to solve the plane problem of heat conduction. Basic relations for linear triangular finite elements are given. On the basis of the developed solution algorithm and software, the numerical solution of a two-dimensional problem of thermal conductivity of a plate made of an inhomogeneous material and a plate containing an isolated square cutout in the center is investigated. The solutions to the test problem correspond to the results obtained by the finite difference method. The temperature field distributions are studied and isotherms of the temperature distribution in the plate are given. The influence of concentrators on the formation of an inhomogeneous temperature field is investigated.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0144813</doi><tpages>6</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0094-243X |
| ispartof | AIP conference proceedings, 2023, Vol.2781 (1) |
| issn | 0094-243X 1551-7616 |
| language | eng |
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| source | AIP Journals Complete |
| subjects | Algorithms Conduction heating Conductive heat transfer Finite difference method Finite element method Temperature distribution Thermal conductivity |
| title | Computer simulation of two-dimensional unsteady-state heat conduction problems for inhomogeneous bodies by the FEM |
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