Heat Flow Model for Surface Melting and Solidification of an Alloy View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1983-05

AUTHORS

J. A. Sekhar, S. Kou, R. Mehrabian

ABSTRACT

The heat flow model previously developed for a pure metal is extended to the solidification of an alloy over a range of temperatures. The equations are then applied to rapid surface melting and solidification of an alloy substrate. The substrate is subjected to a pulse of stationary high intensity heat flux over a circular region on its bounding surface. The finite difference form of the heat transfer equation is written in terms of dimensionless nodal temperature and enthalpy in an oblate spheroidal coordinate system. A numerical solution technique is developed for an alloy which precipitates a eutectic at the end of solidification. Generalized solutions are presented for an Al-4.5 wt pct Cu alloy subjected to a uniform heat flux distribution over the circular region. Dimensionless temperature distributions, size and location of the “mushy” zone, and average cooling rate during solidification are calculated as a function of the product of absorbed heat flux,q, the radius of the circular region, a, and time. General trends established show that for a given product ofqa all isotherms are located at the same dimensionless distance for identical Fourier numbers. The results show that loss of superheat and shallower temperature gradients during solidification result in significantly larger “mushy” zone sizes than during melting. Furthermore, for a given set of process parameters, the average cooling rate increases with distance solidified from the bottom to the top of the melt pool. More... »

PAGES

1169-1177

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02659864

DOI

http://dx.doi.org/10.1007/bf02659864

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1001446384


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": {
          "name": [
            "Howmet Turbine Components Corporation, 49461, Whitehall, MI"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Sekhar", 
        "givenName": "J. A.", 
        "id": "sg:person.016661564161.49", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016661564161.49"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "alternateName": "Carnegie Mellon University", 
          "id": "https://www.grid.ac/institutes/grid.147455.6", 
          "name": [
            "Department of Metallurgical and Materials Science, CarnegieMellon University, 15213, Pittsburgh, PA"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Kou", 
        "givenName": "S.", 
        "id": "sg:person.0710072274.07", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0710072274.07"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Department of Commerce, Center for Materials Science, National Bureau of Standards, 20234, Washington, DC"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Mehrabian", 
        "givenName": "R.", 
        "id": "sg:person.01107677040.70", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01107677040.70"
        ], 
        "type": "Person"
      }
    ], 
    "citation": [
      {
        "id": "sg:pub.10.1007/bf02653687", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022950811", 
          "https://doi.org/10.1007/bf02653687"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02653687", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1022950811", 
          "https://doi.org/10.1007/bf02653687"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02657168", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023353095", 
          "https://doi.org/10.1007/bf02657168"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02657168", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1023353095", 
          "https://doi.org/10.1007/bf02657168"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0094-4548(77)90129-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030744337"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0094-4548(77)90129-1", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1030744337"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02657655", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041235872", 
          "https://doi.org/10.1007/bf02657655"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02657655", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1041235872", 
          "https://doi.org/10.1007/bf02657655"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02674756", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043294457", 
          "https://doi.org/10.1007/bf02674756"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02674756", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1043294457", 
          "https://doi.org/10.1007/bf02674756"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02654476", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046256154", 
          "https://doi.org/10.1007/bf02654476"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "sg:pub.10.1007/bf02654476", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046256154", 
          "https://doi.org/10.1007/bf02654476"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0016-0032(67)90043-9", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1051053373"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.324261", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057923454"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1063/1.327672", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1057930000"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.3450375", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062128082"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1983-05", 
    "datePublishedReg": "1983-05-01", 
    "description": "The heat flow model previously developed for a pure metal is extended to the solidification of an alloy over a range of temperatures. The equations are then applied to rapid surface melting and solidification of an alloy substrate. The substrate is subjected to a pulse of stationary high intensity heat flux over a circular region on its bounding surface. The finite difference form of the heat transfer equation is written in terms of dimensionless nodal temperature and enthalpy in an oblate spheroidal coordinate system. A numerical solution technique is developed for an alloy which precipitates a eutectic at the end of solidification. Generalized solutions are presented for an Al-4.5 wt pct Cu alloy subjected to a uniform heat flux distribution over the circular region. Dimensionless temperature distributions, size and location of the \u201cmushy\u201d zone, and average cooling rate during solidification are calculated as a function of the product of absorbed heat flux,q, the radius of the circular region, a, and time. General trends established show that for a given product ofqa all isotherms are located at the same dimensionless distance for identical Fourier numbers. The results show that loss of superheat and shallower temperature gradients during solidification result in significantly larger \u201cmushy\u201d zone sizes than during melting. Furthermore, for a given set of process parameters, the average cooling rate increases with distance solidified from the bottom to the top of the melt pool.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf02659864", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": false, 
    "isPartOf": [
      {
        "id": "sg:journal.1317676", 
        "issn": [
          "0360-2133"
        ], 
        "name": "Metallurgical Transactions A", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "5", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "14"
      }
    ], 
    "name": "Heat Flow Model for Surface Melting and Solidification of an Alloy", 
    "pagination": "1169-1177", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "06e3eb883e5e33406bdfafc90c8844e9929e94ca76d3abb9527a519aab0c0b50"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02659864"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1001446384"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02659864", 
      "https://app.dimensions.ai/details/publication/pub.1001446384"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:35", 
    "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/v90/0000000370_0000000370/records_46777_00000000.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007%2FBF02659864"
  }
]
 

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/bf02659864'

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/bf02659864'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02659864'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02659864'


 

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

113 TRIPLES      21 PREDICATES      37 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02659864 schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author Ne00831bd47cf4983affe8f4bad98d1e1
4 schema:citation sg:pub.10.1007/bf02653687
5 sg:pub.10.1007/bf02654476
6 sg:pub.10.1007/bf02657168
7 sg:pub.10.1007/bf02657655
8 sg:pub.10.1007/bf02674756
9 https://doi.org/10.1016/0016-0032(67)90043-9
10 https://doi.org/10.1016/0094-4548(77)90129-1
11 https://doi.org/10.1063/1.324261
12 https://doi.org/10.1063/1.327672
13 https://doi.org/10.1115/1.3450375
14 schema:datePublished 1983-05
15 schema:datePublishedReg 1983-05-01
16 schema:description The heat flow model previously developed for a pure metal is extended to the solidification of an alloy over a range of temperatures. The equations are then applied to rapid surface melting and solidification of an alloy substrate. The substrate is subjected to a pulse of stationary high intensity heat flux over a circular region on its bounding surface. The finite difference form of the heat transfer equation is written in terms of dimensionless nodal temperature and enthalpy in an oblate spheroidal coordinate system. A numerical solution technique is developed for an alloy which precipitates a eutectic at the end of solidification. Generalized solutions are presented for an Al-4.5 wt pct Cu alloy subjected to a uniform heat flux distribution over the circular region. Dimensionless temperature distributions, size and location of the “mushy” zone, and average cooling rate during solidification are calculated as a function of the product of absorbed heat flux,q, the radius of the circular region, a, and time. General trends established show that for a given product ofqa all isotherms are located at the same dimensionless distance for identical Fourier numbers. The results show that loss of superheat and shallower temperature gradients during solidification result in significantly larger “mushy” zone sizes than during melting. Furthermore, for a given set of process parameters, the average cooling rate increases with distance solidified from the bottom to the top of the melt pool.
17 schema:genre research_article
18 schema:inLanguage en
19 schema:isAccessibleForFree false
20 schema:isPartOf N9d26d7ccf7084e3ca9eb6a3534aa1c18
21 Ncbf15fc1b5284e089d47fe9f2fb16fff
22 sg:journal.1317676
23 schema:name Heat Flow Model for Surface Melting and Solidification of an Alloy
24 schema:pagination 1169-1177
25 schema:productId N077e3c2b53d14bec822dc42a508bc654
26 N1203255256094d5b84305bca706c0f13
27 Nc7e72921e9be4856bd9d2ac56daee4cb
28 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001446384
29 https://doi.org/10.1007/bf02659864
30 schema:sdDatePublished 2019-04-11T13:35
31 schema:sdLicense https://scigraph.springernature.com/explorer/license/
32 schema:sdPublisher N2d388ecb86104e80b852487d23acec50
33 schema:url http://link.springer.com/10.1007%2FBF02659864
34 sgo:license sg:explorer/license/
35 sgo:sdDataset articles
36 rdf:type schema:ScholarlyArticle
37 N077e3c2b53d14bec822dc42a508bc654 schema:name dimensions_id
38 schema:value pub.1001446384
39 rdf:type schema:PropertyValue
40 N1203255256094d5b84305bca706c0f13 schema:name readcube_id
41 schema:value 06e3eb883e5e33406bdfafc90c8844e9929e94ca76d3abb9527a519aab0c0b50
42 rdf:type schema:PropertyValue
43 N1350e5d439e1460b9cacb0c74318b0d0 rdf:first sg:person.01107677040.70
44 rdf:rest rdf:nil
45 N1b150fc18a3a49b390a67805059aecf4 schema:name Department of Commerce, Center for Materials Science, National Bureau of Standards, 20234, Washington, DC
46 rdf:type schema:Organization
47 N2d388ecb86104e80b852487d23acec50 schema:name Springer Nature - SN SciGraph project
48 rdf:type schema:Organization
49 N75379ee650fd4be79383bcf52f3c4dee rdf:first sg:person.0710072274.07
50 rdf:rest N1350e5d439e1460b9cacb0c74318b0d0
51 N9d26d7ccf7084e3ca9eb6a3534aa1c18 schema:volumeNumber 14
52 rdf:type schema:PublicationVolume
53 Nc5243599ed3e41ca8acc4f0c627062f4 schema:name Howmet Turbine Components Corporation, 49461, Whitehall, MI
54 rdf:type schema:Organization
55 Nc7e72921e9be4856bd9d2ac56daee4cb schema:name doi
56 schema:value 10.1007/bf02659864
57 rdf:type schema:PropertyValue
58 Ncbf15fc1b5284e089d47fe9f2fb16fff schema:issueNumber 5
59 rdf:type schema:PublicationIssue
60 Ne00831bd47cf4983affe8f4bad98d1e1 rdf:first sg:person.016661564161.49
61 rdf:rest N75379ee650fd4be79383bcf52f3c4dee
62 anzsrc-for:09 schema:inDefinedTermSet anzsrc-for:
63 schema:name Engineering
64 rdf:type schema:DefinedTerm
65 anzsrc-for:0915 schema:inDefinedTermSet anzsrc-for:
66 schema:name Interdisciplinary Engineering
67 rdf:type schema:DefinedTerm
68 sg:journal.1317676 schema:issn 0360-2133
69 schema:name Metallurgical Transactions A
70 rdf:type schema:Periodical
71 sg:person.01107677040.70 schema:affiliation N1b150fc18a3a49b390a67805059aecf4
72 schema:familyName Mehrabian
73 schema:givenName R.
74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01107677040.70
75 rdf:type schema:Person
76 sg:person.016661564161.49 schema:affiliation Nc5243599ed3e41ca8acc4f0c627062f4
77 schema:familyName Sekhar
78 schema:givenName J. A.
79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.016661564161.49
80 rdf:type schema:Person
81 sg:person.0710072274.07 schema:affiliation https://www.grid.ac/institutes/grid.147455.6
82 schema:familyName Kou
83 schema:givenName S.
84 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0710072274.07
85 rdf:type schema:Person
86 sg:pub.10.1007/bf02653687 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022950811
87 https://doi.org/10.1007/bf02653687
88 rdf:type schema:CreativeWork
89 sg:pub.10.1007/bf02654476 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046256154
90 https://doi.org/10.1007/bf02654476
91 rdf:type schema:CreativeWork
92 sg:pub.10.1007/bf02657168 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023353095
93 https://doi.org/10.1007/bf02657168
94 rdf:type schema:CreativeWork
95 sg:pub.10.1007/bf02657655 schema:sameAs https://app.dimensions.ai/details/publication/pub.1041235872
96 https://doi.org/10.1007/bf02657655
97 rdf:type schema:CreativeWork
98 sg:pub.10.1007/bf02674756 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043294457
99 https://doi.org/10.1007/bf02674756
100 rdf:type schema:CreativeWork
101 https://doi.org/10.1016/0016-0032(67)90043-9 schema:sameAs https://app.dimensions.ai/details/publication/pub.1051053373
102 rdf:type schema:CreativeWork
103 https://doi.org/10.1016/0094-4548(77)90129-1 schema:sameAs https://app.dimensions.ai/details/publication/pub.1030744337
104 rdf:type schema:CreativeWork
105 https://doi.org/10.1063/1.324261 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057923454
106 rdf:type schema:CreativeWork
107 https://doi.org/10.1063/1.327672 schema:sameAs https://app.dimensions.ai/details/publication/pub.1057930000
108 rdf:type schema:CreativeWork
109 https://doi.org/10.1115/1.3450375 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062128082
110 rdf:type schema:CreativeWork
111 https://www.grid.ac/institutes/grid.147455.6 schema:alternateName Carnegie Mellon University
112 schema:name Department of Metallurgical and Materials Science, CarnegieMellon University, 15213, Pittsburgh, PA
113 rdf:type schema:Organization
 




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


...