Rapid melting and solidification of a surface due to a moving heat flux View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

1981-03

AUTHORS

S. Kou, S. C. Hsu, R. Mehrabian

ABSTRACT

Rapid melting and solidification of a semi-infinite substrate subjected to a high intensity heat flux over a circular region on its bounding surface moving with a constant velocity is considered. General expressions are developed for the coefficients in the finite difference equation governing the heat transfer in moving orthogonal curvilinear coordinate systems. These expressions are reduced to their specific forms in terms of dimensionless nodal temperature and enthalpy for a moving oblate spheroidal coordinate system. Quasisteady state conditions are assumed and the thermal properties of the substrate in the liquid and solid phase are considered constant and equal. It is also assumed that the substrate melts and solidifies at a single temperature. Temperature distributions in the molten region and the adjacent heat affected zone are computed along with the liquid-solid interface shape, its velocity and other important solidification variables. Both uniform and Gaussian heat flux distributions within the circular region are considered. The results are presented in their most general form—in terms of dimensionless numbers when possible. Specific criteria for the melting of the substrate are established. It is shown that the three variables, absorbed heat fluxq, the radius of the circular regiona and the velocity of the moving fluxU, could be combined into two independent variables. That is, the dimensionless temperature distribution in the metal pool and the solid substrate remain the same as long as the productsqa andUa orU/q are kept constant. The effect of these variables on cooling rate in the liquid and the ratio of temperature gradient to growth rate at the solid-liquid interface are discussed using an aluminum substrate as an example. More... »

PAGES

33-45

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf02674756

DOI

http://dx.doi.org/10.1007/bf02674756

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1043294457


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": "Carnegie Mellon University", 
          "id": "https://www.grid.ac/institutes/grid.147455.6", 
          "name": [
            "Department of Metallurgy and Materials Science, Carnegie-Mellon University, Pittsburgh, Pennsylvania"
          ], 
          "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": [
            "G. T. E. Laboratories, Waltham, Massachusetts"
          ], 
          "type": "Organization"
        }, 
        "familyName": "Hsu", 
        "givenName": "S. C.", 
        "id": "sg:person.013414760751.84", 
        "sameAs": [
          "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013414760751.84"
        ], 
        "type": "Person"
      }, 
      {
        "affiliation": {
          "name": [
            "Department of Commerce, National Bureau of Standards, Washington, D.C."
          ], 
          "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/10.1016/0001-6160(61)90008-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027311381"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0001-6160(61)90008-6", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1027311381"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0001-6160(74)90141-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046643949"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1016/0001-6160(74)90141-2", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1046643949"
        ], 
        "type": "CreativeWork"
      }, 
      {
        "id": "https://doi.org/10.1115/1.3450375", 
        "sameAs": [
          "https://app.dimensions.ai/details/publication/pub.1062128082"
        ], 
        "type": "CreativeWork"
      }
    ], 
    "datePublished": "1981-03", 
    "datePublishedReg": "1981-03-01", 
    "description": "Rapid melting and solidification of a semi-infinite substrate subjected to a high intensity heat flux over a circular region on its bounding surface moving with a constant velocity is considered. General expressions are developed for the coefficients in the finite difference equation governing the heat transfer in moving orthogonal curvilinear coordinate systems. These expressions are reduced to their specific forms in terms of dimensionless nodal temperature and enthalpy for a moving oblate spheroidal coordinate system. Quasisteady state conditions are assumed and the thermal properties of the substrate in the liquid and solid phase are considered constant and equal. It is also assumed that the substrate melts and solidifies at a single temperature. Temperature distributions in the molten region and the adjacent heat affected zone are computed along with the liquid-solid interface shape, its velocity and other important solidification variables. Both uniform and Gaussian heat flux distributions within the circular region are considered. The results are presented in their most general form\u2014in terms of dimensionless numbers when possible. Specific criteria for the melting of the substrate are established. It is shown that the three variables, absorbed heat fluxq, the radius of the circular regiona and the velocity of the moving fluxU, could be combined into two independent variables. That is, the dimensionless temperature distribution in the metal pool and the solid substrate remain the same as long as the productsqa andUa orU/q are kept constant. The effect of these variables on cooling rate in the liquid and the ratio of temperature gradient to growth rate at the solid-liquid interface are discussed using an aluminum substrate as an example.", 
    "genre": "research_article", 
    "id": "sg:pub.10.1007/bf02674756", 
    "inLanguage": [
      "en"
    ], 
    "isAccessibleForFree": true, 
    "isPartOf": [
      {
        "id": "sg:journal.1317677", 
        "issn": [
          "0360-2141"
        ], 
        "name": "Metallurgical Transactions B", 
        "type": "Periodical"
      }, 
      {
        "issueNumber": "1", 
        "type": "PublicationIssue"
      }, 
      {
        "type": "PublicationVolume", 
        "volumeNumber": "12"
      }
    ], 
    "name": "Rapid melting and solidification of a surface due to a moving heat flux", 
    "pagination": "33-45", 
    "productId": [
      {
        "name": "readcube_id", 
        "type": "PropertyValue", 
        "value": [
          "ce3a1db6a5606d4d49325c2770a98cc8876fce9c0a6dfd5a63dfa1afe23e94fd"
        ]
      }, 
      {
        "name": "doi", 
        "type": "PropertyValue", 
        "value": [
          "10.1007/bf02674756"
        ]
      }, 
      {
        "name": "dimensions_id", 
        "type": "PropertyValue", 
        "value": [
          "pub.1043294457"
        ]
      }
    ], 
    "sameAs": [
      "https://doi.org/10.1007/bf02674756", 
      "https://app.dimensions.ai/details/publication/pub.1043294457"
    ], 
    "sdDataset": "articles", 
    "sdDatePublished": "2019-04-11T13:31", 
    "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_46757_00000002.jsonl", 
    "type": "ScholarlyArticle", 
    "url": "http://link.springer.com/10.1007/BF02674756"
  }
]
 

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/bf02674756'

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/bf02674756'

Turtle is a human-readable linked data format.

curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf02674756'

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

curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf02674756'


 

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

95 TRIPLES      21 PREDICATES      32 URIs      19 LITERALS      7 BLANK NODES

Subject Predicate Object
1 sg:pub.10.1007/bf02674756 schema:about anzsrc-for:09
2 anzsrc-for:0915
3 schema:author Nc0075b62a2d242b9a7f6e8f8a420e05f
4 schema:citation sg:pub.10.1007/bf02653687
5 sg:pub.10.1007/bf02657168
6 https://doi.org/10.1016/0001-6160(61)90008-6
7 https://doi.org/10.1016/0001-6160(74)90141-2
8 https://doi.org/10.1115/1.3450375
9 schema:datePublished 1981-03
10 schema:datePublishedReg 1981-03-01
11 schema:description Rapid melting and solidification of a semi-infinite substrate subjected to a high intensity heat flux over a circular region on its bounding surface moving with a constant velocity is considered. General expressions are developed for the coefficients in the finite difference equation governing the heat transfer in moving orthogonal curvilinear coordinate systems. These expressions are reduced to their specific forms in terms of dimensionless nodal temperature and enthalpy for a moving oblate spheroidal coordinate system. Quasisteady state conditions are assumed and the thermal properties of the substrate in the liquid and solid phase are considered constant and equal. It is also assumed that the substrate melts and solidifies at a single temperature. Temperature distributions in the molten region and the adjacent heat affected zone are computed along with the liquid-solid interface shape, its velocity and other important solidification variables. Both uniform and Gaussian heat flux distributions within the circular region are considered. The results are presented in their most general form—in terms of dimensionless numbers when possible. Specific criteria for the melting of the substrate are established. It is shown that the three variables, absorbed heat fluxq, the radius of the circular regiona and the velocity of the moving fluxU, could be combined into two independent variables. That is, the dimensionless temperature distribution in the metal pool and the solid substrate remain the same as long as the productsqa andUa orU/q are kept constant. The effect of these variables on cooling rate in the liquid and the ratio of temperature gradient to growth rate at the solid-liquid interface are discussed using an aluminum substrate as an example.
12 schema:genre research_article
13 schema:inLanguage en
14 schema:isAccessibleForFree true
15 schema:isPartOf N837605548dfa44a7b7bc14c3f6c03c2d
16 N969664d8070c48708f1a9c49b68f8aa8
17 sg:journal.1317677
18 schema:name Rapid melting and solidification of a surface due to a moving heat flux
19 schema:pagination 33-45
20 schema:productId N6cd492d9d8064d14835d0385bc825fb0
21 N76c5a4c1be8a448ca1f89919c6c80d0b
22 Nfe8d441556be4fef9f8adb3e8b155d8c
23 schema:sameAs https://app.dimensions.ai/details/publication/pub.1043294457
24 https://doi.org/10.1007/bf02674756
25 schema:sdDatePublished 2019-04-11T13:31
26 schema:sdLicense https://scigraph.springernature.com/explorer/license/
27 schema:sdPublisher Nd08b7985ec1842cc8e7e92a26ec2a3ac
28 schema:url http://link.springer.com/10.1007/BF02674756
29 sgo:license sg:explorer/license/
30 sgo:sdDataset articles
31 rdf:type schema:ScholarlyArticle
32 N242310210cf54854a35c8bfe5fd65762 schema:name Department of Commerce, National Bureau of Standards, Washington, D.C.
33 rdf:type schema:Organization
34 N4f6d6bc71b3a4c54a3076b5a2bc59162 schema:name G. T. E. Laboratories, Waltham, Massachusetts
35 rdf:type schema:Organization
36 N6cd492d9d8064d14835d0385bc825fb0 schema:name doi
37 schema:value 10.1007/bf02674756
38 rdf:type schema:PropertyValue
39 N76c5a4c1be8a448ca1f89919c6c80d0b schema:name readcube_id
40 schema:value ce3a1db6a5606d4d49325c2770a98cc8876fce9c0a6dfd5a63dfa1afe23e94fd
41 rdf:type schema:PropertyValue
42 N837605548dfa44a7b7bc14c3f6c03c2d schema:issueNumber 1
43 rdf:type schema:PublicationIssue
44 N969664d8070c48708f1a9c49b68f8aa8 schema:volumeNumber 12
45 rdf:type schema:PublicationVolume
46 Nb449e92e91a74ef0b7e983f112c3c552 rdf:first sg:person.01107677040.70
47 rdf:rest rdf:nil
48 Nc0075b62a2d242b9a7f6e8f8a420e05f rdf:first sg:person.0710072274.07
49 rdf:rest Ned9eceb014a7434d8e719f7066cbe3c0
50 Nd08b7985ec1842cc8e7e92a26ec2a3ac schema:name Springer Nature - SN SciGraph project
51 rdf:type schema:Organization
52 Ned9eceb014a7434d8e719f7066cbe3c0 rdf:first sg:person.013414760751.84
53 rdf:rest Nb449e92e91a74ef0b7e983f112c3c552
54 Nfe8d441556be4fef9f8adb3e8b155d8c schema:name dimensions_id
55 schema:value pub.1043294457
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.1317677 schema:issn 0360-2141
64 schema:name Metallurgical Transactions B
65 rdf:type schema:Periodical
66 sg:person.01107677040.70 schema:affiliation N242310210cf54854a35c8bfe5fd65762
67 schema:familyName Mehrabian
68 schema:givenName R.
69 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.01107677040.70
70 rdf:type schema:Person
71 sg:person.013414760751.84 schema:affiliation N4f6d6bc71b3a4c54a3076b5a2bc59162
72 schema:familyName Hsu
73 schema:givenName S. C.
74 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013414760751.84
75 rdf:type schema:Person
76 sg:person.0710072274.07 schema:affiliation https://www.grid.ac/institutes/grid.147455.6
77 schema:familyName Kou
78 schema:givenName S.
79 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0710072274.07
80 rdf:type schema:Person
81 sg:pub.10.1007/bf02653687 schema:sameAs https://app.dimensions.ai/details/publication/pub.1022950811
82 https://doi.org/10.1007/bf02653687
83 rdf:type schema:CreativeWork
84 sg:pub.10.1007/bf02657168 schema:sameAs https://app.dimensions.ai/details/publication/pub.1023353095
85 https://doi.org/10.1007/bf02657168
86 rdf:type schema:CreativeWork
87 https://doi.org/10.1016/0001-6160(61)90008-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1027311381
88 rdf:type schema:CreativeWork
89 https://doi.org/10.1016/0001-6160(74)90141-2 schema:sameAs https://app.dimensions.ai/details/publication/pub.1046643949
90 rdf:type schema:CreativeWork
91 https://doi.org/10.1115/1.3450375 schema:sameAs https://app.dimensions.ai/details/publication/pub.1062128082
92 rdf:type schema:CreativeWork
93 https://www.grid.ac/institutes/grid.147455.6 schema:alternateName Carnegie Mellon University
94 schema:name Department of Metallurgy and Materials Science, Carnegie-Mellon University, Pittsburgh, Pennsylvania
95 rdf:type schema:Organization
 




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


...