Analytical Solutions of Heat-Conduction Problems with Time-Varying Heat-Transfer Coefficients View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2015-05

AUTHORS

V. A. Kudinov, A. V. Eremin, E. V. Stefanyuk

ABSTRACT

The problem on heat conduction of an infinite plate with a heat-transfer coefficient changing linearly with time for third-kind boundary conditions was solved analytically based on determination of the front of a temperature disturbance in this plate and introduction of additional boundary conditions. On the basis of the solution obtained, graphs of the distribution of isotherms in the indicated plate and the velocities of their movement along a spatial variable in it were constructed. As a result of the solution of the inverse problem on the heat conduction of the infinite plate with the use of the results of numerical calculation of the change in its temperature at any point on the indicated spatial coordinate, the Predvoditelev number was identified with an accuracy of 2%, which made it possible to determine the time dependence of the heat-transfer coefficient of the plate. More... »

PAGES

688-698

References to SciGraph publications

  • 1968-10. Influence of the calorimetric-element characteristics on the results of heat-flux measurements in JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10891-015-1238-y

    DOI

    http://dx.doi.org/10.1007/s10891-015-1238-y

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1007862356


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    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/2008/09", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Engineering", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0915", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Interdisciplinary Engineering", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia", 
              "id": "http://www.grid.ac/institutes/grid.445792.9", 
              "name": [
                "Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Kudinov", 
            "givenName": "V. A.", 
            "id": "sg:person.014602635070.00", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014602635070.00"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia", 
              "id": "http://www.grid.ac/institutes/grid.445792.9", 
              "name": [
                "Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Eremin", 
            "givenName": "A. V.", 
            "id": "sg:person.015401043035.14", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015401043035.14"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia", 
              "id": "http://www.grid.ac/institutes/grid.445792.9", 
              "name": [
                "Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, 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"
          }
        ], 
        "citation": [
          {
            "id": "sg:pub.10.1007/bf00833706", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1052053512", 
              "https://doi.org/10.1007/bf00833706"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "2015-05", 
        "datePublishedReg": "2015-05-01", 
        "description": "The problem on heat conduction of an infinite plate with a heat-transfer coefficient changing linearly with time for third-kind boundary conditions was solved analytically based on determination of the front of a temperature disturbance in this plate and introduction of additional boundary conditions. On the basis of the solution obtained, graphs of the distribution of isotherms in the indicated plate and the velocities of their movement along a spatial variable in it were constructed. As a result of the solution of the inverse problem on the heat conduction of the infinite plate with the use of the results of numerical calculation of the change in its temperature at any point on the indicated spatial coordinate, the Predvoditelev number was identified with an accuracy of 2%, which made it possible to determine the time dependence of the heat-transfer coefficient of the plate.", 
        "genre": "article", 
        "id": "sg:pub.10.1007/s10891-015-1238-y", 
        "inLanguage": "en", 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1313809", 
            "issn": [
              "1062-0125", 
              "1573-871X"
            ], 
            "name": "Journal of Engineering Physics and Thermophysics", 
            "publisher": "Springer Nature", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "3", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "88"
          }
        ], 
        "keywords": [
          "heat-transfer coefficient", 
          "heat conduction", 
          "third-kind boundary conditions", 
          "boundary conditions", 
          "heat-conduction problem", 
          "infinite plate", 
          "distribution of isotherms", 
          "transfer coefficient", 
          "additional boundary conditions", 
          "temperature disturbances", 
          "analytical solution", 
          "numerical calculations", 
          "plate", 
          "conduction", 
          "spatial coordinates", 
          "coefficient", 
          "time dependence", 
          "inverse problem", 
          "heat", 
          "solution", 
          "velocity", 
          "isotherms", 
          "temperature", 
          "spatial variables", 
          "conditions", 
          "front", 
          "problem", 
          "accuracy", 
          "results", 
          "distribution", 
          "coordinates", 
          "dependence", 
          "calculations", 
          "disturbances", 
          "determination", 
          "point", 
          "time", 
          "use", 
          "introduction", 
          "movement", 
          "basis", 
          "variables", 
          "number", 
          "changes", 
          "graph", 
          "Predvoditelev number", 
          "Time-Varying Heat"
        ], 
        "name": "Analytical Solutions of Heat-Conduction Problems with Time-Varying Heat-Transfer Coefficients", 
        "pagination": "688-698", 
        "productId": [
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1007862356"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/s10891-015-1238-y"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/s10891-015-1238-y", 
          "https://app.dimensions.ai/details/publication/pub.1007862356"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2021-11-01T18:24", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-springernature-scigraph/baseset/20211101/entities/gbq_results/article/article_652.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "https://doi.org/10.1007/s10891-015-1238-y"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    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.10.1007/s10891-015-1238-y'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s10891-015-1238-y'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10891-015-1238-y'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10891-015-1238-y'


     

    This table displays all metadata directly associated to this object as RDF triples.

    123 TRIPLES      22 PREDICATES      74 URIs      65 LITERALS      6 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/s10891-015-1238-y schema:about anzsrc-for:09
    2 anzsrc-for:0915
    3 schema:author N58b202ac1da349c8871dd7d5cca8fffe
    4 schema:citation sg:pub.10.1007/bf00833706
    5 schema:datePublished 2015-05
    6 schema:datePublishedReg 2015-05-01
    7 schema:description The problem on heat conduction of an infinite plate with a heat-transfer coefficient changing linearly with time for third-kind boundary conditions was solved analytically based on determination of the front of a temperature disturbance in this plate and introduction of additional boundary conditions. On the basis of the solution obtained, graphs of the distribution of isotherms in the indicated plate and the velocities of their movement along a spatial variable in it were constructed. As a result of the solution of the inverse problem on the heat conduction of the infinite plate with the use of the results of numerical calculation of the change in its temperature at any point on the indicated spatial coordinate, the Predvoditelev number was identified with an accuracy of 2%, which made it possible to determine the time dependence of the heat-transfer coefficient of the plate.
    8 schema:genre article
    9 schema:inLanguage en
    10 schema:isAccessibleForFree false
    11 schema:isPartOf N9a90f37175954cd98760b219621f9607
    12 Nb67df64b7a2a41bdac567684f4488ab8
    13 sg:journal.1313809
    14 schema:keywords Predvoditelev number
    15 Time-Varying Heat
    16 accuracy
    17 additional boundary conditions
    18 analytical solution
    19 basis
    20 boundary conditions
    21 calculations
    22 changes
    23 coefficient
    24 conditions
    25 conduction
    26 coordinates
    27 dependence
    28 determination
    29 distribution
    30 distribution of isotherms
    31 disturbances
    32 front
    33 graph
    34 heat
    35 heat conduction
    36 heat-conduction problem
    37 heat-transfer coefficient
    38 infinite plate
    39 introduction
    40 inverse problem
    41 isotherms
    42 movement
    43 number
    44 numerical calculations
    45 plate
    46 point
    47 problem
    48 results
    49 solution
    50 spatial coordinates
    51 spatial variables
    52 temperature
    53 temperature disturbances
    54 third-kind boundary conditions
    55 time
    56 time dependence
    57 transfer coefficient
    58 use
    59 variables
    60 velocity
    61 schema:name Analytical Solutions of Heat-Conduction Problems with Time-Varying Heat-Transfer Coefficients
    62 schema:pagination 688-698
    63 schema:productId N16d3f53587d843dbb6d9290b9d101af6
    64 Nf30edb131a9e44eb842eeab6e5af1359
    65 schema:sameAs https://app.dimensions.ai/details/publication/pub.1007862356
    66 https://doi.org/10.1007/s10891-015-1238-y
    67 schema:sdDatePublished 2021-11-01T18:24
    68 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    69 schema:sdPublisher Ndab01e737bcc4c9eb3835bc5b7099589
    70 schema:url https://doi.org/10.1007/s10891-015-1238-y
    71 sgo:license sg:explorer/license/
    72 sgo:sdDataset articles
    73 rdf:type schema:ScholarlyArticle
    74 N16d3f53587d843dbb6d9290b9d101af6 schema:name doi
    75 schema:value 10.1007/s10891-015-1238-y
    76 rdf:type schema:PropertyValue
    77 N2f0d6262998b4520bf21c1954616da7d rdf:first sg:person.015401043035.14
    78 rdf:rest Nfefc8049a780448eb9bde9737397bae2
    79 N58b202ac1da349c8871dd7d5cca8fffe rdf:first sg:person.014602635070.00
    80 rdf:rest N2f0d6262998b4520bf21c1954616da7d
    81 N9a90f37175954cd98760b219621f9607 schema:issueNumber 3
    82 rdf:type schema:PublicationIssue
    83 Nb67df64b7a2a41bdac567684f4488ab8 schema:volumeNumber 88
    84 rdf:type schema:PublicationVolume
    85 Ndab01e737bcc4c9eb3835bc5b7099589 schema:name Springer Nature - SN SciGraph project
    86 rdf:type schema:Organization
    87 Nf30edb131a9e44eb842eeab6e5af1359 schema:name dimensions_id
    88 schema:value pub.1007862356
    89 rdf:type schema:PropertyValue
    90 Nfefc8049a780448eb9bde9737397bae2 rdf:first sg:person.010637046537.80
    91 rdf:rest rdf:nil
    92 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
    93 schema:name Engineering
    94 rdf:type schema:DefinedTerm
    95 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
    96 schema:name Interdisciplinary Engineering
    97 rdf:type schema:DefinedTerm
    98 sg:journal.1313809 schema:issn 1062-0125
    99 1573-871X
    100 schema:name Journal of Engineering Physics and Thermophysics
    101 schema:publisher Springer Nature
    102 rdf:type schema:Periodical
    103 sg:person.010637046537.80 schema:affiliation grid-institutes:grid.445792.9
    104 schema:familyName Stefanyuk
    105 schema:givenName E. V.
    106 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010637046537.80
    107 rdf:type schema:Person
    108 sg:person.014602635070.00 schema:affiliation grid-institutes:grid.445792.9
    109 schema:familyName Kudinov
    110 schema:givenName V. A.
    111 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014602635070.00
    112 rdf:type schema:Person
    113 sg:person.015401043035.14 schema:affiliation grid-institutes:grid.445792.9
    114 schema:familyName Eremin
    115 schema:givenName A. V.
    116 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.015401043035.14
    117 rdf:type schema:Person
    118 sg:pub.10.1007/bf00833706 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052053512
    119 https://doi.org/10.1007/bf00833706
    120 rdf:type schema:CreativeWork
    121 grid-institutes:grid.445792.9 schema:alternateName Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia
    122 schema:name Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia
    123 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...