Ontology type: schema:ScholarlyArticle
2018-05
AUTHORSA. V. Eremin, E. V. Stefanyuk, O. Yu. Kurganova, V. K. Tkachev, M. P. Skvortsova
ABSTRACTAn accurate analytical solution of the stationary problem of heat conductivity for a multilayer structure with heat sources under asymmetric boundary conditions of the third kind is obtained based on the use of the theory of generalized functions. Using the asymmetric unit function (Heaviside function), the problem for a multilayer structure is reduced to a single-layer with discontinuous (piecewise-continuous) medium properties. By introducing a new independent variable, the nonlinear differential equation (nonlinearity of the second kind—the thermal-physical properties depend on the spatial variable) is reduced to a linear one, direct integration of which allows obtaining an accurate analytical solution of the problem considered. Examples of investigations of the temperature fields for some certain multilayer structures are given. More... »
PAGES249-255
http://scigraph.springernature.com/pub.10.3103/s1052618818030056
DOIhttp://dx.doi.org/10.3103/s1052618818030056
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1104598207
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Pure Mathematics",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "Samara State Technical University, Samara, Russia",
"id": "http://www.grid.ac/institutes/grid.445792.9",
"name": [
"Samara State Technical University, Samara, Russia"
],
"type": "Organization"
},
"familyName": "Eremin",
"givenName": "A. V.",
"id": "sg:person.014424512265.37",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014424512265.37"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Samara State Technical University, Samara, Russia",
"id": "http://www.grid.ac/institutes/grid.445792.9",
"name": [
"Samara State Technical University, Samara, Russia"
],
"type": "Organization"
},
"familyName": "Stefanyuk",
"givenName": "E. V.",
"id": "sg:person.010637046537.80",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010637046537.80"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Samara State Technical University, Samara, Russia",
"id": "http://www.grid.ac/institutes/grid.445792.9",
"name": [
"Samara State Technical University, Samara, Russia"
],
"type": "Organization"
},
"familyName": "Kurganova",
"givenName": "O. Yu.",
"id": "sg:person.014303644176.44",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014303644176.44"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Samara State Technical University, Samara, Russia",
"id": "http://www.grid.ac/institutes/grid.445792.9",
"name": [
"Samara State Technical University, Samara, Russia"
],
"type": "Organization"
},
"familyName": "Tkachev",
"givenName": "V. K.",
"id": "sg:person.011763435135.29",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011763435135.29"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Samara State Technical University, Samara, Russia",
"id": "http://www.grid.ac/institutes/grid.445792.9",
"name": [
"Samara State Technical University, Samara, Russia"
],
"type": "Organization"
},
"familyName": "Skvortsova",
"givenName": "M. P.",
"id": "sg:person.014003363452.26",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014003363452.26"
],
"type": "Person"
}
],
"citation": [
{
"id": "sg:pub.10.1134/s0965542515040089",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1016331359",
"https://doi.org/10.1134/s0965542515040089"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s10891-000-0083-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1085881597",
"https://doi.org/10.1007/s10891-000-0083-8"
],
"type": "CreativeWork"
}
],
"datePublished": "2018-05",
"datePublishedReg": "2018-05-01",
"description": "An accurate analytical solution of the stationary problem of heat conductivity for a multilayer structure with heat sources under asymmetric boundary conditions of the third kind is obtained based on the use of the theory of generalized functions. Using the asymmetric unit function (Heaviside function), the problem for a multilayer structure is reduced to a single-layer with discontinuous (piecewise-continuous) medium properties. By introducing a new independent variable, the nonlinear differential equation (nonlinearity of the second kind\u2014the thermal-physical properties depend on the spatial variable) is reduced to a linear one, direct integration of which allows obtaining an accurate analytical solution of the problem considered. Examples of investigations of the temperature fields for some certain multilayer structures are given.",
"genre": "article",
"id": "sg:pub.10.3103/s1052618818030056",
"inLanguage": "en",
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1135895",
"issn": [
"1052-6188",
"1934-9394"
],
"name": "Journal of Machinery Manufacture and Reliability",
"publisher": "Allerton Press",
"type": "Periodical"
},
{
"issueNumber": "3",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "47"
}
],
"keywords": [
"accurate analytical solution",
"generalized functions",
"analytical solution",
"nonlinear differential equations",
"multilayer structure",
"new independent variable",
"heat source",
"differential equations",
"heat conductivity problem",
"stationary problem",
"conductivity problem",
"asymmetric boundary conditions",
"linear one",
"boundary conditions",
"direct integration",
"medium properties",
"third kind",
"temperature field",
"heat conductivity",
"examples of investigations",
"problem",
"equations",
"solution",
"independent variables",
"theory",
"function",
"conductivity",
"unit function",
"structure",
"field",
"properties",
"variables",
"source",
"one",
"conditions",
"kind",
"investigation",
"integration",
"example",
"use"
],
"name": "A Generalized Function in Heat Conductivity Problems for Multilayer Structures with Heat Sources",
"pagination": "249-255",
"productId": [
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1104598207"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.3103/s1052618818030056"
]
}
],
"sameAs": [
"https://doi.org/10.3103/s1052618818030056",
"https://app.dimensions.ai/details/publication/pub.1104598207"
],
"sdDataset": "articles",
"sdDatePublished": "2022-05-20T07:35",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-springernature-scigraph/baseset/20220519/entities/gbq_results/article/article_786.jsonl",
"type": "ScholarlyArticle",
"url": "https://doi.org/10.3103/s1052618818030056"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.3103/s1052618818030056'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.3103/s1052618818030056'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.3103/s1052618818030056'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.3103/s1052618818030056'
This table displays all metadata directly associated to this object as RDF triples.
134 TRIPLES
22 PREDICATES
68 URIs
58 LITERALS
6 BLANK NODES