Generalization of the Stefan model to allow for both velocity and temperature jumps View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1999-10

AUTHORS

E. Fried, A.Q. Shen

ABSTRACT

We obtain an expression for the energy dissipation due to an evolving nonmaterial interface across which the mass density, velocity, stress, energy density, heat flux, entropy density, and temperature may be discontinuous. This expression is a sum of three terms: the product of the interfacial mass flux with the interfacial energy release; the scalar product of the interfacial velocity slip with the interfacial friction; and, the product of the interfacial temperature jump, scaled by the interfacial temperature average, with the interfacial heating. When the surface in question is a phase interface, we propose, on the basis of the interfacial dissipation inequality, supplemental relations that determine the interfacial energy release, the interfacial friction, and the interfacial heating constitutively as functions of the interfacial mass flux, the interfacial velocity slip, and the scaled interfacial temperature jump. As a step toward an understanding of the role that such interfacial relations may serve in theories for phase transitions, we investigate a problem involving the solidification of a pure substance in the absence of flow. More... »

PAGES

277-296

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s001610050124

DOI

http://dx.doi.org/10.1007/s001610050124

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1029294712


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/2008/0915", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Interdisciplinary Engineering", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Illinois at Urbana Champaign", 
          "id": "https://www.grid.ac/institutes/grid.35403.31", 
          "name": [
            "Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2935, USA, US"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Fried", 
        "givenName": "E.", 
        "id": "sg:person.01231667305.76", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01231667305.76"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Illinois at Urbana Champaign", 
          "id": "https://www.grid.ac/institutes/grid.35403.31", 
          "name": [
            "Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2935, USA, US"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Shen", 
        "givenName": "A.Q.", 
        "id": "sg:person.0744235200.65", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0744235200.65"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf01762361", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001612153", 
          "https://doi.org/10.1007/bf01762361"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01762361", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1001612153", 
          "https://doi.org/10.1007/bf01762361"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02671247", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012275655", 
          "https://doi.org/10.1007/bf02671247"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02671247", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1012275655", 
          "https://doi.org/10.1007/bf02671247"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00877051", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1020953688", 
          "https://doi.org/10.1007/bf00877051"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0021-8928(87)90140-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026492364"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0021-8928(87)90140-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026492364"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01175772", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030149987", 
          "https://doi.org/10.1007/bf01175772"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf01175772", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030149987", 
          "https://doi.org/10.1007/bf01175772"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-5096(90)90003-m", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031139877"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0022-5096(90)90003-m", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031139877"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0167-2789(05)80008-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1031555766"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00281354", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051488688", 
          "https://doi.org/10.1007/bf00281354"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf00281354", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051488688", 
          "https://doi.org/10.1007/bf00281354"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4684-0071-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053140863", 
          "https://doi.org/10.1007/978-1-4684-0071-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/978-1-4684-0071-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1053140863", 
          "https://doi.org/10.1007/978-1-4684-0071-7"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1090/qam/987902", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059349602"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.3167129", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062105051"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1999-10", 
    "datePublishedReg": "1999-10-01", 
    "description": "We obtain an expression for the energy dissipation due to an evolving nonmaterial interface across which the mass density, velocity, stress, energy density, heat flux, entropy density, and temperature may be discontinuous. This expression is a sum of three terms: the product of the interfacial mass flux with the interfacial energy release; the scalar product of the interfacial velocity slip with the interfacial friction; and, the product of the interfacial temperature jump, scaled by the interfacial temperature average, with the interfacial heating. When the surface in question is a phase interface, we propose, on the basis of the interfacial dissipation inequality, supplemental relations that determine the interfacial energy release, the interfacial friction, and the interfacial heating constitutively as functions of the interfacial mass flux, the interfacial velocity slip, and the scaled interfacial temperature jump. As a step toward an understanding of the role that such interfacial relations may serve in theories for phase transitions, we investigate a problem involving the solidification of a pure substance in the absence of flow.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s001610050124", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1135936", 
        "issn": [
          "0935-1175", 
          "1432-0959"
        ], 
        "name": "Continuum Mechanics and Thermodynamics", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "11"
      }
    ], 
    "name": "Generalization of the Stefan model to allow for both velocity and temperature jumps", 
    "pagination": "277-296", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "8b8e481a4c45606a7df7457758f424dbb537e19aa194b4f33fa2b4872eeab5f1"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s001610050124"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1029294712"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s001610050124", 
      "https://app.dimensions.ai/details/publication/pub.1029294712"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T10:30", 
    "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
    "sdPublisher": {
      "name": "Springer Nature - SN SciGraph project", 
      "type": "Organization"
    }, 
    "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000349_0000000349/records_113647_00000001.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "https://link.springer.com/10.1007%2Fs001610050124"
  }
]
 

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/s001610050124'

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/s001610050124'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s001610050124'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s001610050124'


 

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

107 TRIPLES      21 PREDICATES      38 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s001610050124 schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author N5665a84a022d47288ccff79ea2311473
4 schema:citation sg:pub.10.1007/978-1-4684-0071-7
5 sg:pub.10.1007/bf00281354
6 sg:pub.10.1007/bf00877051
7 sg:pub.10.1007/bf01175772
8 sg:pub.10.1007/bf01762361
9 sg:pub.10.1007/bf02671247
10 https://doi.org/10.1016/0021-8928(87)90140-7
11 https://doi.org/10.1016/0022-5096(90)90003-m
12 https://doi.org/10.1016/s0167-2789(05)80008-9
13 https://doi.org/10.1090/qam/987902
14 https://doi.org/10.1115/1.3167129
15 schema:datePublished 1999-10
16 schema:datePublishedReg 1999-10-01
17 schema:description We obtain an expression for the energy dissipation due to an evolving nonmaterial interface across which the mass density, velocity, stress, energy density, heat flux, entropy density, and temperature may be discontinuous. This expression is a sum of three terms: the product of the interfacial mass flux with the interfacial energy release; the scalar product of the interfacial velocity slip with the interfacial friction; and, the product of the interfacial temperature jump, scaled by the interfacial temperature average, with the interfacial heating. When the surface in question is a phase interface, we propose, on the basis of the interfacial dissipation inequality, supplemental relations that determine the interfacial energy release, the interfacial friction, and the interfacial heating constitutively as functions of the interfacial mass flux, the interfacial velocity slip, and the scaled interfacial temperature jump. As a step toward an understanding of the role that such interfacial relations may serve in theories for phase transitions, we investigate a problem involving the solidification of a pure substance in the absence of flow.
18 schema:genre research_article
19 schema:inLanguage en
20 schema:isAccessibleForFree false
21 schema:isPartOf N5010ddc99c164cdaa6ca8fee4a2613b9
22 Nc6071c9f4fa5483b8ed6ed5687b12c37
23 sg:journal.1135936
24 schema:name Generalization of the Stefan model to allow for both velocity and temperature jumps
25 schema:pagination 277-296
26 schema:productId N467875f12b15412fb664f4a19effc38a
27 N8f94be52de54473281242dd63210f44f
28 Nfce2e161121d49deba1508461f329cdb
29 schema:sameAs https://app.dimensions.ai/details/publication/pub.1029294712
30 https://doi.org/10.1007/s001610050124
31 schema:sdDatePublished 2019-04-11T10:30
32 schema:sdLicense https://scigraph.springernature.com/explorer/license/
33 schema:sdPublisher Ne6b420707932489081b6509ea184b77c
34 schema:url https://link.springer.com/10.1007%2Fs001610050124
35 sgo:license sg:explorer/license/
36 sgo:sdDataset articles
37 rdf:type schema:ScholarlyArticle
38 N467875f12b15412fb664f4a19effc38a schema:name doi
39 schema:value 10.1007/s001610050124
40 rdf:type schema:PropertyValue
41 N4824339f1722457bac9fbf35db0fa0b3 rdf:first sg:person.0744235200.65
42 rdf:rest rdf:nil
43 N5010ddc99c164cdaa6ca8fee4a2613b9 schema:volumeNumber 11
44 rdf:type schema:PublicationVolume
45 N5665a84a022d47288ccff79ea2311473 rdf:first sg:person.01231667305.76
46 rdf:rest N4824339f1722457bac9fbf35db0fa0b3
47 N8f94be52de54473281242dd63210f44f schema:name readcube_id
48 schema:value 8b8e481a4c45606a7df7457758f424dbb537e19aa194b4f33fa2b4872eeab5f1
49 rdf:type schema:PropertyValue
50 Nc6071c9f4fa5483b8ed6ed5687b12c37 schema:issueNumber 5
51 rdf:type schema:PublicationIssue
52 Ne6b420707932489081b6509ea184b77c schema:name Springer Nature - SN SciGraph project
53 rdf:type schema:Organization
54 Nfce2e161121d49deba1508461f329cdb schema:name dimensions_id
55 schema:value pub.1029294712
56 rdf:type schema:PropertyValue
57 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
58 schema:name Engineering
59 rdf:type schema:DefinedTerm
60 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
61 schema:name Interdisciplinary Engineering
62 rdf:type schema:DefinedTerm
63 sg:journal.1135936 schema:issn 0935-1175
64 1432-0959
65 schema:name Continuum Mechanics and Thermodynamics
66 rdf:type schema:Periodical
67 sg:person.01231667305.76 schema:affiliation https://www.grid.ac/institutes/grid.35403.31
68 schema:familyName Fried
69 schema:givenName E.
70 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01231667305.76
71 rdf:type schema:Person
72 sg:person.0744235200.65 schema:affiliation https://www.grid.ac/institutes/grid.35403.31
73 schema:familyName Shen
74 schema:givenName A.Q.
75 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0744235200.65
76 rdf:type schema:Person
77 sg:pub.10.1007/978-1-4684-0071-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1053140863
78 https://doi.org/10.1007/978-1-4684-0071-7
79 rdf:type schema:CreativeWork
80 sg:pub.10.1007/bf00281354 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051488688
81 https://doi.org/10.1007/bf00281354
82 rdf:type schema:CreativeWork
83 sg:pub.10.1007/bf00877051 schema:sameAs https://app.dimensions.ai/details/publication/pub.1020953688
84 https://doi.org/10.1007/bf00877051
85 rdf:type schema:CreativeWork
86 sg:pub.10.1007/bf01175772 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030149987
87 https://doi.org/10.1007/bf01175772
88 rdf:type schema:CreativeWork
89 sg:pub.10.1007/bf01762361 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001612153
90 https://doi.org/10.1007/bf01762361
91 rdf:type schema:CreativeWork
92 sg:pub.10.1007/bf02671247 schema:sameAs https://app.dimensions.ai/details/publication/pub.1012275655
93 https://doi.org/10.1007/bf02671247
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1016/0021-8928(87)90140-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026492364
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1016/0022-5096(90)90003-m schema:sameAs https://app.dimensions.ai/details/publication/pub.1031139877
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1016/s0167-2789(05)80008-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1031555766
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1090/qam/987902 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059349602
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1115/1.3167129 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062105051
104 rdf:type schema:CreativeWork
105 https://www.grid.ac/institutes/grid.35403.31 schema:alternateName University of Illinois at Urbana Champaign
106 schema:name Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2935, USA, US
107 rdf:type schema:Organization
 




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


...