A mathematical model for Bingham-like fluids with visco-elastic core View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2004-09

AUTHORS

Lorenzo Fusi, Angiolo Farina

ABSTRACT

In this paper we present a new mathematical model for Bingham-like materials in which the core behaves as a visco-elastic Maxwell fluid. We deduce the model in a general 3D framework, using a thermodynamical approach based on the theory of natural configurations. We apply the model to the case of a plane Poiseuille flow driven by a time-dependent pressure gradient. The mathematical formulation of the latter case turns out to be a free boundary problem in which a parabolic equation and a dissipative wave equation are coupled together. More... »

PAGES

826-847

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00033-004-3056-5

DOI

http://dx.doi.org/10.1007/s00033-004-3056-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015970819


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/2008/0101", 
        "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
        "name": "Pure Mathematics", 
        "type": "DefinedTerm"
      }, 
      {
        "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"
      }
    ], 
    "author": [
      {
        "affiliation": {
          "alternateName": "University of Florence", 
          "id": "https://www.grid.ac/institutes/grid.8404.8", 
          "name": [
            "Dipartimento di Matematica \u201cU. Dini\u201d, Universit\u00e0 degli Studi di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Fusi", 
        "givenName": "Lorenzo", 
        "id": "sg:person.07766517165.51", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07766517165.51"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "University of Florence", 
          "id": "https://www.grid.ac/institutes/grid.8404.8", 
          "name": [
            "Dipartimento di Matematica \u201cU. Dini\u201d, Universit\u00e0 degli Studi di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Farina", 
        "givenName": "Angiolo", 
        "id": "sg:person.012704665167.17", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012704665167.17"
        ], 
        "type": "Person"
      }
    ], 
    "datePublished": "2004-09", 
    "datePublishedReg": "2004-09-01", 
    "description": "In this paper we present a new mathematical model for Bingham-like materials in which the core behaves as a visco-elastic Maxwell fluid. We deduce the model in a general 3D framework, using a thermodynamical approach based on the theory of natural configurations. We apply the model to the case of a plane Poiseuille flow driven by a time-dependent pressure gradient. The mathematical formulation of the latter case turns out to be a free boundary problem in which a parabolic equation and a dissipative wave equation are coupled together.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/s00033-004-3056-5", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1053636", 
        "issn": [
          "0044-2275", 
          "1420-9039"
        ], 
        "name": "Zeitschrift f\u00fcr angewandte Mathematik und Physik", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "55"
      }
    ], 
    "name": "A mathematical model for Bingham-like fluids with visco-elastic core", 
    "pagination": "826-847", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "4c195ec1c60749f9d77ab5d503671675aa42e9fcd663b4b71df2d63a547a02f1"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/s00033-004-3056-5"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1015970819"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/s00033-004-3056-5", 
      "https://app.dimensions.ai/details/publication/pub.1015970819"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T13:21", 
    "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/v90/0000000001_0000000264/records_8659_00000531.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2Fs00033-004-3056-5"
  }
]
 

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/s00033-004-3056-5'

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/s00033-004-3056-5'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00033-004-3056-5'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00033-004-3056-5'


 

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

68 TRIPLES      20 PREDICATES      27 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/s00033-004-3056-5 schema:about anzsrc-for:01
2 anzsrc-for:0101
3 schema:author N5fb86486bef749a1a16c5ddf9f127352
4 schema:datePublished 2004-09
5 schema:datePublishedReg 2004-09-01
6 schema:description In this paper we present a new mathematical model for Bingham-like materials in which the core behaves as a visco-elastic Maxwell fluid. We deduce the model in a general 3D framework, using a thermodynamical approach based on the theory of natural configurations. We apply the model to the case of a plane Poiseuille flow driven by a time-dependent pressure gradient. The mathematical formulation of the latter case turns out to be a free boundary problem in which a parabolic equation and a dissipative wave equation are coupled together.
7 schema:genre research_article
8 schema:inLanguage en
9 schema:isAccessibleForFree false
10 schema:isPartOf N07a915ac3b8d40cf904191150e3726d3
11 N4a09888e372540789399c6062d271dcd
12 sg:journal.1053636
13 schema:name A mathematical model for Bingham-like fluids with visco-elastic core
14 schema:pagination 826-847
15 schema:productId N8fb62e9ffca64410b1ac454ff6eafb0a
16 N9ff02923900b41e89d7d9b0d81653435
17 Nfb5ab052c3f64e0a8065f6a1ffca5e53
18 schema:sameAs https://app.dimensions.ai/details/publication/pub.1015970819
19 https://doi.org/10.1007/s00033-004-3056-5
20 schema:sdDatePublished 2019-04-10T13:21
21 schema:sdLicense https://scigraph.springernature.com/explorer/license/
22 schema:sdPublisher N477006efe9004265b336bec29af479cf
23 schema:url http://link.springer.com/10.1007%2Fs00033-004-3056-5
24 sgo:license sg:explorer/license/
25 sgo:sdDataset articles
26 rdf:type schema:ScholarlyArticle
27 N07a915ac3b8d40cf904191150e3726d3 schema:volumeNumber 55
28 rdf:type schema:PublicationVolume
29 N0f5d602ac85f4d4c8e37f8fef4e80add rdf:first sg:person.012704665167.17
30 rdf:rest rdf:nil
31 N477006efe9004265b336bec29af479cf schema:name Springer Nature - SN SciGraph project
32 rdf:type schema:Organization
33 N4a09888e372540789399c6062d271dcd schema:issueNumber 5
34 rdf:type schema:PublicationIssue
35 N5fb86486bef749a1a16c5ddf9f127352 rdf:first sg:person.07766517165.51
36 rdf:rest N0f5d602ac85f4d4c8e37f8fef4e80add
37 N8fb62e9ffca64410b1ac454ff6eafb0a schema:name dimensions_id
38 schema:value pub.1015970819
39 rdf:type schema:PropertyValue
40 N9ff02923900b41e89d7d9b0d81653435 schema:name readcube_id
41 schema:value 4c195ec1c60749f9d77ab5d503671675aa42e9fcd663b4b71df2d63a547a02f1
42 rdf:type schema:PropertyValue
43 Nfb5ab052c3f64e0a8065f6a1ffca5e53 schema:name doi
44 schema:value 10.1007/s00033-004-3056-5
45 rdf:type schema:PropertyValue
46 anzsrc-for:01 schema:inDefinedTermSet anzsrc-for:
47 schema:name Mathematical Sciences
48 rdf:type schema:DefinedTerm
49 anzsrc-for:0101 schema:inDefinedTermSet anzsrc-for:
50 schema:name Pure Mathematics
51 rdf:type schema:DefinedTerm
52 sg:journal.1053636 schema:issn 0044-2275
53 1420-9039
54 schema:name Zeitschrift für angewandte Mathematik und Physik
55 rdf:type schema:Periodical
56 sg:person.012704665167.17 schema:affiliation https://www.grid.ac/institutes/grid.8404.8
57 schema:familyName Farina
58 schema:givenName Angiolo
59 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.012704665167.17
60 rdf:type schema:Person
61 sg:person.07766517165.51 schema:affiliation https://www.grid.ac/institutes/grid.8404.8
62 schema:familyName Fusi
63 schema:givenName Lorenzo
64 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07766517165.51
65 rdf:type schema:Person
66 https://www.grid.ac/institutes/grid.8404.8 schema:alternateName University of Florence
67 schema:name Dipartimento di Matematica “U. Dini”, Università degli Studi di Firenze, Viale Morgagni 67/A, 50134, Firenze, Italy
68 rdf:type schema:Organization
 




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


...