Analytical solution method for heat conduction problems based on the introduction of the temperature perturbation front and additional boundary conditions View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2009-05

AUTHORS

V. A. Kudinov, E. V. Stefanyuk

ABSTRACT

With the use of the integral heat balance method based on the introduction of the temperature perturbation field and additional boundary conditions, we consider a method for finding analytical solutions of boundary-value problems of nonstationary heat conduction that permits obtaining, for a series of problems, solutions with a given degree of accuracy throughout the range of variation of the Fourier number. Solutions have a simple form of exponential algebraic polynomials, which makes it possible to investigate the heat transfer in the fields of isothermal lines, as well as analyze the time distributions of velocities of motion of isotherms. More... »

PAGES

537-555

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10891-009-0223-8

DOI

http://dx.doi.org/10.1007/s10891-009-0223-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047257701


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/2008/01", 
        "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, 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": "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/s10891-007-0060-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045863370", 
          "https://doi.org/10.1007/s10891-007-0060-6"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2009-05", 
    "datePublishedReg": "2009-05-01", 
    "description": "With the use of the integral heat balance method based on the introduction of the temperature perturbation field and additional boundary conditions, we consider a method for finding analytical solutions of boundary-value problems of nonstationary heat conduction that permits obtaining, for a series of problems, solutions with a given degree of accuracy throughout the range of variation of the Fourier number. Solutions have a simple form of exponential algebraic polynomials, which makes it possible to investigate the heat transfer in the fields of isothermal lines, as well as analyze the time distributions of velocities of motion of isotherms.", 
    "genre": "article", 
    "id": "sg:pub.10.1007/s10891-009-0223-8", 
    "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": "82"
      }
    ], 
    "keywords": [
      "additional boundary conditions", 
      "boundary conditions", 
      "nonstationary heat conduction", 
      "heat conduction problem", 
      "heat transfer", 
      "Fourier number", 
      "analytical solution method", 
      "heat conduction", 
      "heat balance method", 
      "integral heat balance method", 
      "isothermal lines", 
      "conduction problem", 
      "analytical solution", 
      "temperature perturbation field", 
      "boundary-value problem", 
      "temperature perturbation front", 
      "perturbation front", 
      "balance method", 
      "perturbation field", 
      "solution method", 
      "series of problems", 
      "degree of accuracy", 
      "time distribution", 
      "solution", 
      "velocity", 
      "conduction", 
      "field", 
      "isotherms", 
      "method", 
      "conditions", 
      "motion", 
      "front", 
      "transfer", 
      "problem", 
      "accuracy", 
      "range of variation", 
      "simple form", 
      "range", 
      "distribution", 
      "algebraic polynomials", 
      "introduction", 
      "variation", 
      "use", 
      "series", 
      "degree", 
      "polynomials", 
      "number", 
      "form", 
      "lines", 
      "exponential algebraic polynomials", 
      "motion of isotherms"
    ], 
    "name": "Analytical solution method for heat conduction problems based on the introduction of the temperature perturbation front and additional boundary conditions", 
    "pagination": "537-555", 
    "productId": [
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1047257701"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s10891-009-0223-8"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s10891-009-0223-8", 
      "https://app.dimensions.ai/details/publication/pub.1047257701"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2022-01-01T18:21", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-springernature-scigraph/baseset/20220101/entities/gbq_results/article/article_488.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://doi.org/10.1007/s10891-009-0223-8"
  }
]
 

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/s10891-009-0223-8'

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/s10891-009-0223-8'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s10891-009-0223-8'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s10891-009-0223-8'


 

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

120 TRIPLES      22 PREDICATES      78 URIs      69 LITERALS      6 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s10891-009-0223-8 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N7277f3ed8536467ca0cb70588291a8b6
4 schema:citation sg:pub.10.1007/s10891-007-0060-6
5 schema:datePublished 2009-05
6 schema:datePublishedReg 2009-05-01
7 schema:description With the use of the integral heat balance method based on the introduction of the temperature perturbation field and additional boundary conditions, we consider a method for finding analytical solutions of boundary-value problems of nonstationary heat conduction that permits obtaining, for a series of problems, solutions with a given degree of accuracy throughout the range of variation of the Fourier number. Solutions have a simple form of exponential algebraic polynomials, which makes it possible to investigate the heat transfer in the fields of isothermal lines, as well as analyze the time distributions of velocities of motion of isotherms.
8 schema:genre article
9 schema:inLanguage en
10 schema:isAccessibleForFree false
11 schema:isPartOf N169ab8905a3a436ab2df29c832d58975
12 N64409027840d40e09829d923478ad029
13 sg:journal.1313809
14 schema:keywords Fourier number
15 accuracy
16 additional boundary conditions
17 algebraic polynomials
18 analytical solution
19 analytical solution method
20 balance method
21 boundary conditions
22 boundary-value problem
23 conditions
24 conduction
25 conduction problem
26 degree
27 degree of accuracy
28 distribution
29 exponential algebraic polynomials
30 field
31 form
32 front
33 heat balance method
34 heat conduction
35 heat conduction problem
36 heat transfer
37 integral heat balance method
38 introduction
39 isothermal lines
40 isotherms
41 lines
42 method
43 motion
44 motion of isotherms
45 nonstationary heat conduction
46 number
47 perturbation field
48 perturbation front
49 polynomials
50 problem
51 range
52 range of variation
53 series
54 series of problems
55 simple form
56 solution
57 solution method
58 temperature perturbation field
59 temperature perturbation front
60 time distribution
61 transfer
62 use
63 variation
64 velocity
65 schema:name Analytical solution method for heat conduction problems based on the introduction of the temperature perturbation front and additional boundary conditions
66 schema:pagination 537-555
67 schema:productId N91715972f1fc4208a0c1f2bd786c33e9
68 Nc3705e83bf124d2aa96babf6ed830842
69 schema:sameAs https://app.dimensions.ai/details/publication/pub.1047257701
70 https://doi.org/10.1007/s10891-009-0223-8
71 schema:sdDatePublished 2022-01-01T18:21
72 schema:sdLicense https://scigraph.springernature.com/explorer/license/
73 schema:sdPublisher Nb1ebc4f4a53b446db4253ed272bbfd1d
74 schema:url https://doi.org/10.1007/s10891-009-0223-8
75 sgo:license sg:explorer/license/
76 sgo:sdDataset articles
77 rdf:type schema:ScholarlyArticle
78 N169ab8905a3a436ab2df29c832d58975 schema:volumeNumber 82
79 rdf:type schema:PublicationVolume
80 N64409027840d40e09829d923478ad029 schema:issueNumber 3
81 rdf:type schema:PublicationIssue
82 N7277f3ed8536467ca0cb70588291a8b6 rdf:first sg:person.014602635070.00
83 rdf:rest N8537ac0b487a4c1aa26958d90e0985c4
84 N8537ac0b487a4c1aa26958d90e0985c4 rdf:first sg:person.010637046537.80
85 rdf:rest rdf:nil
86 N91715972f1fc4208a0c1f2bd786c33e9 schema:name doi
87 schema:value 10.1007/s10891-009-0223-8
88 rdf:type schema:PropertyValue
89 Nb1ebc4f4a53b446db4253ed272bbfd1d schema:name Springer Nature - SN SciGraph project
90 rdf:type schema:Organization
91 Nc3705e83bf124d2aa96babf6ed830842 schema:name dimensions_id
92 schema:value pub.1047257701
93 rdf:type schema:PropertyValue
94 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
95 schema:name Mathematical Sciences
96 rdf:type schema:DefinedTerm
97 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
98 schema:name Pure Mathematics
99 rdf:type schema:DefinedTerm
100 sg:journal.1313809 schema:issn 1062-0125
101 1573-871X
102 schema:name Journal of Engineering Physics and Thermophysics
103 schema:publisher Springer Nature
104 rdf:type schema:Periodical
105 sg:person.010637046537.80 schema:affiliation grid-institutes:grid.445792.9
106 schema:familyName Stefanyuk
107 schema:givenName E. V.
108 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.010637046537.80
109 rdf:type schema:Person
110 sg:person.014602635070.00 schema:affiliation grid-institutes:grid.445792.9
111 schema:familyName Kudinov
112 schema:givenName V. A.
113 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.014602635070.00
114 rdf:type schema:Person
115 sg:pub.10.1007/s10891-007-0060-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045863370
116 https://doi.org/10.1007/s10891-007-0060-6
117 rdf:type schema:CreativeWork
118 grid-institutes:grid.445792.9 schema:alternateName Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia
119 schema:name Samara State Technical University, 244 Molodogvardeiskaya Str., 443100, Samara, Russia
120 rdf:type schema:Organization
 




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


...