Perturbation Solutions for Spherical Solidification of Saturated Liquids

A perturbation solution is obtained for outward and partial inward spherical solidification of a liquid initially at the freezing temperature. The constant-wall-temperature boundary condition is considered with the properties of the solidified material assumed as constants. A nonlinear transformatio...

Full description

Saved in:
Bibliographic Details
Published in:Journal of heat transfer 1973-02, Vol.95 (1), p.42-46
Main Authors: Pedroso, R. I, Domoto, G. A
Format: Article
Language:English
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-a247t-302aa631a8c85fcea09c699f7f537ebfcbc05e2270112b99c1e7d2ee26c5e3153
cites
container_end_page 46
container_issue 1
container_start_page 42
container_title Journal of heat transfer
container_volume 95
creator Pedroso, R. I
Domoto, G. A
description A perturbation solution is obtained for outward and partial inward spherical solidification of a liquid initially at the freezing temperature. The constant-wall-temperature boundary condition is considered with the properties of the solidified material assumed as constants. A nonlinear transformation is applied to the sequence of partial sums in the perturbation solution to increase its range of applicability. For inward solidification it is found that the regular perturbation solution diverges for front positions close to the center. An Euler transformation and an overall energy balance are then used to obtain a modified series solution which is compared with numerical results.
doi_str_mv 10.1115/1.3450002
format article
fullrecord <record><control><sourceid>asme_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1115_1_3450002</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>431200</sourcerecordid><originalsourceid>FETCH-LOGICAL-a247t-302aa631a8c85fcea09c699f7f537ebfcbc05e2270112b99c1e7d2ee26c5e3153</originalsourceid><addsrcrecordid>eNotkDFPwzAQhS0EEqEwMLNkZUi5s-MkHlEFFCkSSIHZcpyzcNU2xU4G_j1J2-k9PX13enqM3SMsEVE-4VLkEgD4BUtQ8iqrVC4uWTIlPMO8wmt2E-MGAIXIVcLWnxSGMbRm8P0-bfrtOJuYuj6kzeGHgrdmO-e-827yR6x3aWOmKzNQl9b-d_RdvGVXzmwj3Z11wb5fX75W66z-eHtfPdeZ4Xk5ZAK4MYVAU9lKOksGlC2UcqWToqTW2daCJM5LQOStUhap7DgRL6wkgVIs2OPprw19jIGcPgS_M-FPI-h5Ao36PMHEPpxYE3ekN_0Y9lM1nQvkAOIfJGZXqA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Perturbation Solutions for Spherical Solidification of Saturated Liquids</title><source>ASME Transactions Journals (Archives)</source><creator>Pedroso, R. I ; Domoto, G. A</creator><creatorcontrib>Pedroso, R. I ; Domoto, G. A</creatorcontrib><description>A perturbation solution is obtained for outward and partial inward spherical solidification of a liquid initially at the freezing temperature. The constant-wall-temperature boundary condition is considered with the properties of the solidified material assumed as constants. A nonlinear transformation is applied to the sequence of partial sums in the perturbation solution to increase its range of applicability. For inward solidification it is found that the regular perturbation solution diverges for front positions close to the center. An Euler transformation and an overall energy balance are then used to obtain a modified series solution which is compared with numerical results.</description><identifier>ISSN: 0022-1481</identifier><identifier>EISSN: 1528-8943</identifier><identifier>DOI: 10.1115/1.3450002</identifier><language>eng</language><publisher>ASME</publisher><ispartof>Journal of heat transfer, 1973-02, Vol.95 (1), p.42-46</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-a247t-302aa631a8c85fcea09c699f7f537ebfcbc05e2270112b99c1e7d2ee26c5e3153</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27903,27904,38498</link.rule.ids></links><search><creatorcontrib>Pedroso, R. I</creatorcontrib><creatorcontrib>Domoto, G. A</creatorcontrib><title>Perturbation Solutions for Spherical Solidification of Saturated Liquids</title><title>Journal of heat transfer</title><addtitle>J. Heat Transfer</addtitle><description>A perturbation solution is obtained for outward and partial inward spherical solidification of a liquid initially at the freezing temperature. The constant-wall-temperature boundary condition is considered with the properties of the solidified material assumed as constants. A nonlinear transformation is applied to the sequence of partial sums in the perturbation solution to increase its range of applicability. For inward solidification it is found that the regular perturbation solution diverges for front positions close to the center. An Euler transformation and an overall energy balance are then used to obtain a modified series solution which is compared with numerical results.</description><issn>0022-1481</issn><issn>1528-8943</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1973</creationdate><recordtype>article</recordtype><recordid>eNotkDFPwzAQhS0EEqEwMLNkZUi5s-MkHlEFFCkSSIHZcpyzcNU2xU4G_j1J2-k9PX13enqM3SMsEVE-4VLkEgD4BUtQ8iqrVC4uWTIlPMO8wmt2E-MGAIXIVcLWnxSGMbRm8P0-bfrtOJuYuj6kzeGHgrdmO-e-827yR6x3aWOmKzNQl9b-d_RdvGVXzmwj3Z11wb5fX75W66z-eHtfPdeZ4Xk5ZAK4MYVAU9lKOksGlC2UcqWToqTW2daCJM5LQOStUhap7DgRL6wkgVIs2OPprw19jIGcPgS_M-FPI-h5Ao36PMHEPpxYE3ekN_0Y9lM1nQvkAOIfJGZXqA</recordid><startdate>19730201</startdate><enddate>19730201</enddate><creator>Pedroso, R. I</creator><creator>Domoto, G. A</creator><general>ASME</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19730201</creationdate><title>Perturbation Solutions for Spherical Solidification of Saturated Liquids</title><author>Pedroso, R. I ; Domoto, G. A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a247t-302aa631a8c85fcea09c699f7f537ebfcbc05e2270112b99c1e7d2ee26c5e3153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1973</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pedroso, R. I</creatorcontrib><creatorcontrib>Domoto, G. A</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of heat transfer</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pedroso, R. I</au><au>Domoto, G. A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Perturbation Solutions for Spherical Solidification of Saturated Liquids</atitle><jtitle>Journal of heat transfer</jtitle><stitle>J. Heat Transfer</stitle><date>1973-02-01</date><risdate>1973</risdate><volume>95</volume><issue>1</issue><spage>42</spage><epage>46</epage><pages>42-46</pages><issn>0022-1481</issn><eissn>1528-8943</eissn><abstract>A perturbation solution is obtained for outward and partial inward spherical solidification of a liquid initially at the freezing temperature. The constant-wall-temperature boundary condition is considered with the properties of the solidified material assumed as constants. A nonlinear transformation is applied to the sequence of partial sums in the perturbation solution to increase its range of applicability. For inward solidification it is found that the regular perturbation solution diverges for front positions close to the center. An Euler transformation and an overall energy balance are then used to obtain a modified series solution which is compared with numerical results.</abstract><pub>ASME</pub><doi>10.1115/1.3450002</doi><tpages>5</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0022-1481
ispartof Journal of heat transfer, 1973-02, Vol.95 (1), p.42-46
issn 0022-1481
1528-8943
language eng
recordid cdi_crossref_primary_10_1115_1_3450002
source ASME Transactions Journals (Archives)
title Perturbation Solutions for Spherical Solidification of Saturated Liquids
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-27T17%3A30%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-asme_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Perturbation%20Solutions%20for%20Spherical%20Solidification%20of%20Saturated%20Liquids&rft.jtitle=Journal%20of%20heat%20transfer&rft.au=Pedroso,%20R.%20I&rft.date=1973-02-01&rft.volume=95&rft.issue=1&rft.spage=42&rft.epage=46&rft.pages=42-46&rft.issn=0022-1481&rft.eissn=1528-8943&rft_id=info:doi/10.1115/1.3450002&rft_dat=%3Casme_cross%3E431200%3C/asme_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-a247t-302aa631a8c85fcea09c699f7f537ebfcbc05e2270112b99c1e7d2ee26c5e3153%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true