Percolation Phase Transition in Combustion of Heterogeneous Mixtures View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2004-07

AUTHORS

P. S. Grinchuk, O. S. Rabinovich

ABSTRACT

Combustion of heterogeneous mixtures with a stepwise dependence of the reaction rate on temperature is considered. A two‐dimensional model of the process is proposed, which takes into account, in addition to other factors, the random distribution of fuel particles in the mixture and nonisothermality of the latter. The flammability limits are compared by methods of numerical simulation for two types of heterogeneous systems with an identical mean density of the fuel: with a uniform distribution of the fuel for all particles of the mixture and with its distribution based on random sampling of particles. It is shown that, as the degree of heterogeneity increases (dimensionless coefficient of heat transfer between the particles, Bi, decreases), the flammability limit for systems of both types becomes significantly higher than its “thermodynamic” value, and the upper boundary of the limit is twice as high. Differences in flammability limits and burning rates for heterogeneous systems of these types are found. A relationship between the flammability limit of a random system and a percolation phase transition, which occurs in a heterogeneous condensed mixture with scarce inclusions of the fuel, is demonstrated. An analytical approach for evaluation of the threshold concentration of the fuel in such systems, based on the problem of percolation on random nodes, is proposed. More... »

PAGES

408-418

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:cesw.0000033563.66432.1c

DOI

http://dx.doi.org/10.1023/b:cesw.0000033563.66432.1c

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021588941


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": "National Academy of Sciences of Belarus", 
          "id": "https://www.grid.ac/institutes/grid.410300.6", 
          "name": [
            "Lykov Institute of Heat and Mass Transfer, National Academy of Sciences of Belarus', 220072, Minsk, Belarus'"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Grinchuk", 
        "givenName": "P. S.", 
        "id": "sg:person.01037416256.50", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01037416256.50"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "National Academy of Sciences of Belarus", 
          "id": "https://www.grid.ac/institutes/grid.410300.6", 
          "name": [
            "Lykov Institute of Heat and Mass Transfer, National Academy of Sciences of Belarus', 220072, Minsk, Belarus'"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Rabinovich", 
        "givenName": "O. S.", 
        "id": "sg:person.07721163207.50", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07721163207.50"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "https://doi.org/10.1080/00102209708935626", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1000061290"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1015605920193", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1002948900", 
          "https://doi.org/10.1023/a:1015605920193"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0009-2509(00)00371-7", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1008660512"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02674497", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026446922", 
          "https://doi.org/10.1007/bf02674497"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02674497", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026446922", 
          "https://doi.org/10.1007/bf02674497"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0010-2180(01)00340-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1026468500"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02672736", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043685093", 
          "https://doi.org/10.1007/bf02672736"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02672736", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043685093", 
          "https://doi.org/10.1007/bf02672736"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/s0009-2509(98)00457-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1045714614"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1023/a:1016211215981", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1049346765", 
          "https://doi.org/10.1023/a:1016211215981"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1002/aic.690060115", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1050334444"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1080/00102209608935535", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1052027972"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0305-4470/17/12/004", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059066950"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1088/0305-4470/33/42/104", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1059077104"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.3367/ufnr.0117.197511a.0401", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1071216146"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "2004-07", 
    "datePublishedReg": "2004-07-01", 
    "description": "Combustion of heterogeneous mixtures with a stepwise dependence of the reaction rate on temperature is considered. A two\u2010dimensional model of the process is proposed, which takes into account, in addition to other factors, the random distribution of fuel particles in the mixture and nonisothermality of the latter. The flammability limits are compared by methods of numerical simulation for two types of heterogeneous systems with an identical mean density of the fuel: with a uniform distribution of the fuel for all particles of the mixture and with its distribution based on random sampling of particles. It is shown that, as the degree of heterogeneity increases (dimensionless coefficient of heat transfer between the particles, Bi, decreases), the flammability limit for systems of both types becomes significantly higher than its \u201cthermodynamic\u201d value, and the upper boundary of the limit is twice as high. Differences in flammability limits and burning rates for heterogeneous systems of these types are found. A relationship between the flammability limit of a random system and a percolation phase transition, which occurs in a heterogeneous condensed mixture with scarce inclusions of the fuel, is demonstrated. An analytical approach for evaluation of the threshold concentration of the fuel in such systems, based on the problem of percolation on random nodes, is proposed.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1023/b:cesw.0000033563.66432.1c", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1049027", 
        "issn": [
          "0010-5082", 
          "1573-8345"
        ], 
        "name": "Combustion, Explosion, and Shock Waves", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "4", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "40"
      }
    ], 
    "name": "Percolation Phase Transition in Combustion of Heterogeneous Mixtures", 
    "pagination": "408-418", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "66dc6a1cbf5ca96e43303767f6b565c079694e5e229a914a98a9c69016b296cf"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1023/b:cesw.0000033563.66432.1c"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1021588941"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1023/b:cesw.0000033563.66432.1c", 
      "https://app.dimensions.ai/details/publication/pub.1021588941"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-10T18:18", 
    "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_8675_00000505.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1023%2FB%3ACESW.0000033563.66432.1c"
  }
]
 

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.10.1023/b:cesw.0000033563.66432.1c'

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

curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1023/b:cesw.0000033563.66432.1c'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1023/b:cesw.0000033563.66432.1c'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1023/b:cesw.0000033563.66432.1c'


 

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

111 TRIPLES      21 PREDICATES      40 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1023/b:cesw.0000033563.66432.1c schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author N772ef7a1091b4e4caa6d9926df11ae6d
4 schema:citation sg:pub.10.1007/bf02672736
5 sg:pub.10.1007/bf02674497
6 sg:pub.10.1023/a:1015605920193
7 sg:pub.10.1023/a:1016211215981
8 https://doi.org/10.1002/aic.690060115
9 https://doi.org/10.1016/s0009-2509(00)00371-7
10 https://doi.org/10.1016/s0009-2509(98)00457-6
11 https://doi.org/10.1016/s0010-2180(01)00340-6
12 https://doi.org/10.1080/00102209608935535
13 https://doi.org/10.1080/00102209708935626
14 https://doi.org/10.1088/0305-4470/17/12/004
15 https://doi.org/10.1088/0305-4470/33/42/104
16 https://doi.org/10.3367/ufnr.0117.197511a.0401
17 schema:datePublished 2004-07
18 schema:datePublishedReg 2004-07-01
19 schema:description Combustion of heterogeneous mixtures with a stepwise dependence of the reaction rate on temperature is considered. A two‐dimensional model of the process is proposed, which takes into account, in addition to other factors, the random distribution of fuel particles in the mixture and nonisothermality of the latter. The flammability limits are compared by methods of numerical simulation for two types of heterogeneous systems with an identical mean density of the fuel: with a uniform distribution of the fuel for all particles of the mixture and with its distribution based on random sampling of particles. It is shown that, as the degree of heterogeneity increases (dimensionless coefficient of heat transfer between the particles, Bi, decreases), the flammability limit for systems of both types becomes significantly higher than its “thermodynamic” value, and the upper boundary of the limit is twice as high. Differences in flammability limits and burning rates for heterogeneous systems of these types are found. A relationship between the flammability limit of a random system and a percolation phase transition, which occurs in a heterogeneous condensed mixture with scarce inclusions of the fuel, is demonstrated. An analytical approach for evaluation of the threshold concentration of the fuel in such systems, based on the problem of percolation on random nodes, is proposed.
20 schema:genre research_article
21 schema:inLanguage en
22 schema:isAccessibleForFree false
23 schema:isPartOf N06fdf4ae42eb4ebbb370864ebbc183ea
24 Nc7bc01a8362d4ff8883673f5fb688e27
25 sg:journal.1049027
26 schema:name Percolation Phase Transition in Combustion of Heterogeneous Mixtures
27 schema:pagination 408-418
28 schema:productId N33001f3e420a403e820d345d187461ed
29 N5201c10755ff4a0f98856ade665a468b
30 N53546edd58c34789a23e9d5c13b63572
31 schema:sameAs https://app.dimensions.ai/details/publication/pub.1021588941
32 https://doi.org/10.1023/b:cesw.0000033563.66432.1c
33 schema:sdDatePublished 2019-04-10T18:18
34 schema:sdLicense https://scigraph.springernature.com/explorer/license/
35 schema:sdPublisher N55a7e0ce59bd4b30a352fec2afb43b3e
36 schema:url http://link.springer.com/10.1023%2FB%3ACESW.0000033563.66432.1c
37 sgo:license sg:explorer/license/
38 sgo:sdDataset articles
39 rdf:type schema:ScholarlyArticle
40 N06fdf4ae42eb4ebbb370864ebbc183ea schema:volumeNumber 40
41 rdf:type schema:PublicationVolume
42 N2e393814247e4361b6067899d9aa770a rdf:first sg:person.07721163207.50
43 rdf:rest rdf:nil
44 N33001f3e420a403e820d345d187461ed schema:name dimensions_id
45 schema:value pub.1021588941
46 rdf:type schema:PropertyValue
47 N5201c10755ff4a0f98856ade665a468b schema:name readcube_id
48 schema:value 66dc6a1cbf5ca96e43303767f6b565c079694e5e229a914a98a9c69016b296cf
49 rdf:type schema:PropertyValue
50 N53546edd58c34789a23e9d5c13b63572 schema:name doi
51 schema:value 10.1023/b:cesw.0000033563.66432.1c
52 rdf:type schema:PropertyValue
53 N55a7e0ce59bd4b30a352fec2afb43b3e schema:name Springer Nature - SN SciGraph project
54 rdf:type schema:Organization
55 N772ef7a1091b4e4caa6d9926df11ae6d rdf:first sg:person.01037416256.50
56 rdf:rest N2e393814247e4361b6067899d9aa770a
57 Nc7bc01a8362d4ff8883673f5fb688e27 schema:issueNumber 4
58 rdf:type schema:PublicationIssue
59 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
60 schema:name Engineering
61 rdf:type schema:DefinedTerm
62 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
63 schema:name Interdisciplinary Engineering
64 rdf:type schema:DefinedTerm
65 sg:journal.1049027 schema:issn 0010-5082
66 1573-8345
67 schema:name Combustion, Explosion, and Shock Waves
68 rdf:type schema:Periodical
69 sg:person.01037416256.50 schema:affiliation https://www.grid.ac/institutes/grid.410300.6
70 schema:familyName Grinchuk
71 schema:givenName P. S.
72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01037416256.50
73 rdf:type schema:Person
74 sg:person.07721163207.50 schema:affiliation https://www.grid.ac/institutes/grid.410300.6
75 schema:familyName Rabinovich
76 schema:givenName O. S.
77 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.07721163207.50
78 rdf:type schema:Person
79 sg:pub.10.1007/bf02672736 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043685093
80 https://doi.org/10.1007/bf02672736
81 rdf:type schema:CreativeWork
82 sg:pub.10.1007/bf02674497 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026446922
83 https://doi.org/10.1007/bf02674497
84 rdf:type schema:CreativeWork
85 sg:pub.10.1023/a:1015605920193 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002948900
86 https://doi.org/10.1023/a:1015605920193
87 rdf:type schema:CreativeWork
88 sg:pub.10.1023/a:1016211215981 schema:sameAs https://app.dimensions.ai/details/publication/pub.1049346765
89 https://doi.org/10.1023/a:1016211215981
90 rdf:type schema:CreativeWork
91 https://doi.org/10.1002/aic.690060115 schema:sameAs https://app.dimensions.ai/details/publication/pub.1050334444
92 rdf:type schema:CreativeWork
93 https://doi.org/10.1016/s0009-2509(00)00371-7 schema:sameAs https://app.dimensions.ai/details/publication/pub.1008660512
94 rdf:type schema:CreativeWork
95 https://doi.org/10.1016/s0009-2509(98)00457-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1045714614
96 rdf:type schema:CreativeWork
97 https://doi.org/10.1016/s0010-2180(01)00340-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1026468500
98 rdf:type schema:CreativeWork
99 https://doi.org/10.1080/00102209608935535 schema:sameAs https://app.dimensions.ai/details/publication/pub.1052027972
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1080/00102209708935626 schema:sameAs https://app.dimensions.ai/details/publication/pub.1000061290
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1088/0305-4470/17/12/004 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059066950
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1088/0305-4470/33/42/104 schema:sameAs https://app.dimensions.ai/details/publication/pub.1059077104
106 rdf:type schema:CreativeWork
107 https://doi.org/10.3367/ufnr.0117.197511a.0401 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071216146
108 rdf:type schema:CreativeWork
109 https://www.grid.ac/institutes/grid.410300.6 schema:alternateName National Academy of Sciences of Belarus
110 schema:name Lykov Institute of Heat and Mass Transfer, National Academy of Sciences of Belarus', 220072, Minsk, Belarus'
111 rdf:type schema:Organization
 




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


...