A general transformation procedure for differential viscoelastic models

A general transformation procedure (GTP) for viscoelastic differential constitutive equations is proposed. This procedure is devised to transform a differential model (e.g. Oldroyd-B, White–Metzner (WM) and Phan-Thien–Tanner (PTT)) into another model which has just one differential equation to be so...

Full description

Saved in:
Bibliographic Details
Published in:Journal of non-Newtonian fluid mechanics 2003, Vol.111 (2), p.151-174
Main Authors: Mompean, G., Thompson, R.L., Souza Mendes, P.R.
Format: Article
Language:English
Subjects:
Differential
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Non-newtonian fluid flows
Physics
Transformation
Viscoelastic
Citations: Items that this one cites
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-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893
cites cdi_FETCH-LOGICAL-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893
container_end_page 174
container_issue 2
container_start_page 151
container_title Journal of non-Newtonian fluid mechanics
container_volume 111
creator Mompean, G.
Thompson, R.L.
Souza Mendes, P.R.
description A general transformation procedure (GTP) for viscoelastic differential constitutive equations is proposed. This procedure is devised to transform a differential model (e.g. Oldroyd-B, White–Metzner (WM) and Phan-Thien–Tanner (PTT)) into another model which has just one differential equation to be solved. The resulting model is suitable for three-dimensional and time-dependent flows. A new generalized objective time derivative is employed in the procedure, lending important features to the transformed model. For example, for the case of the Oldroyd-B model, the transformed model is capable of predicting non-zero second normal stress differences. Calculations of the stress field have been performed with an Oldroyd-B based GTP model (the GTP[OldB] model) for a 4:1 contraction plane flow. The results obtained have been analyzed with the aid of a flow-type classifier, and were found to be in good agreement with the ones obtained with the original model.
doi_str_mv 10.1016/S0377-0257(03)00042-9
format article
fullrecord <record><control><sourceid>proquest_hal_p</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_00139267v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S0377025703000429</els_id><sourcerecordid>27889761</sourcerecordid><originalsourceid>FETCH-LOGICAL-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893</originalsourceid><addsrcrecordid>eNqFkE1LxDAQhoMouH78BKEXRQ_VSdIk7UkW8QsWPKjnkKYTjXQbTboL_ntTV_ToaWB4Zuadh5AjCucUqLx4BK5UCUyoU-BnAFCxstkiM1orXjLJ6TaZ_SK7ZC-ltwyB4HJGbufFCw4YTV-M0QzJhbg0ow9D8R6DxW4Vsci9ovPOYcRh9Jlc-2QD9iaN3hbL0GGfDsiOM33Cw5-6T55vrp-u7srFw-391XxR2oo3Y0kbl4N0WEnbAa9ap2TLBWtbbpVTtQBVU6S0ZUK0ohKUN-CYkl0lOwdN3fB9crbZ-2p6_R790sRPHYzXd_OFnnoAeYhJtaaZPdmw-ZWPFaZRL3Nw7HszYFglzVRdN0pOoNiANoaUIrrfzRT0pFh_K9aTPw1cfyvWU5jjnwMmWdO7LND69DdcKcmZrDN3ueGyKFx7jDpZj0PW6yPaUXfB_3PpC5tTjr4</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>27889761</pqid></control><display><type>article</type><title>A general transformation procedure for differential viscoelastic models</title><source>ScienceDirect Freedom Collection 2022-2024</source><creator>Mompean, G. ; Thompson, R.L. ; Souza Mendes, P.R.</creator><creatorcontrib>Mompean, G. ; Thompson, R.L. ; Souza Mendes, P.R.</creatorcontrib><description>A general transformation procedure (GTP) for viscoelastic differential constitutive equations is proposed. This procedure is devised to transform a differential model (e.g. Oldroyd-B, White–Metzner (WM) and Phan-Thien–Tanner (PTT)) into another model which has just one differential equation to be solved. The resulting model is suitable for three-dimensional and time-dependent flows. A new generalized objective time derivative is employed in the procedure, lending important features to the transformed model. For example, for the case of the Oldroyd-B model, the transformed model is capable of predicting non-zero second normal stress differences. Calculations of the stress field have been performed with an Oldroyd-B based GTP model (the GTP[OldB] model) for a 4:1 contraction plane flow. The results obtained have been analyzed with the aid of a flow-type classifier, and were found to be in good agreement with the ones obtained with the original model.</description><identifier>ISSN: 0377-0257</identifier><identifier>EISSN: 1873-2631</identifier><identifier>DOI: 10.1016/S0377-0257(03)00042-9</identifier><identifier>CODEN: JNFMDI</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Differential ; Exact sciences and technology ; Flows in ducts, channels, nozzles, and conduits ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; Non-newtonian fluid flows ; Physics ; Transformation ; Viscoelastic</subject><ispartof>Journal of non-Newtonian fluid mechanics, 2003, Vol.111 (2), p.151-174</ispartof><rights>2003 Elsevier Science B.V.</rights><rights>2003 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893</citedby><cites>FETCH-LOGICAL-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,315,786,790,891,4043,27956,27957,27958</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=14763268$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-00139267$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Mompean, G.</creatorcontrib><creatorcontrib>Thompson, R.L.</creatorcontrib><creatorcontrib>Souza Mendes, P.R.</creatorcontrib><title>A general transformation procedure for differential viscoelastic models</title><title>Journal of non-Newtonian fluid mechanics</title><description>A general transformation procedure (GTP) for viscoelastic differential constitutive equations is proposed. This procedure is devised to transform a differential model (e.g. Oldroyd-B, White–Metzner (WM) and Phan-Thien–Tanner (PTT)) into another model which has just one differential equation to be solved. The resulting model is suitable for three-dimensional and time-dependent flows. A new generalized objective time derivative is employed in the procedure, lending important features to the transformed model. For example, for the case of the Oldroyd-B model, the transformed model is capable of predicting non-zero second normal stress differences. Calculations of the stress field have been performed with an Oldroyd-B based GTP model (the GTP[OldB] model) for a 4:1 contraction plane flow. The results obtained have been analyzed with the aid of a flow-type classifier, and were found to be in good agreement with the ones obtained with the original model.</description><subject>Differential</subject><subject>Exact sciences and technology</subject><subject>Flows in ducts, channels, nozzles, and conduits</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Non-newtonian fluid flows</subject><subject>Physics</subject><subject>Transformation</subject><subject>Viscoelastic</subject><issn>0377-0257</issn><issn>1873-2631</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2003</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LxDAQhoMouH78BKEXRQ_VSdIk7UkW8QsWPKjnkKYTjXQbTboL_ntTV_ToaWB4Zuadh5AjCucUqLx4BK5UCUyoU-BnAFCxstkiM1orXjLJ6TaZ_SK7ZC-ltwyB4HJGbufFCw4YTV-M0QzJhbg0ow9D8R6DxW4Vsci9ovPOYcRh9Jlc-2QD9iaN3hbL0GGfDsiOM33Cw5-6T55vrp-u7srFw-391XxR2oo3Y0kbl4N0WEnbAa9ap2TLBWtbbpVTtQBVU6S0ZUK0ohKUN-CYkl0lOwdN3fB9crbZ-2p6_R790sRPHYzXd_OFnnoAeYhJtaaZPdmw-ZWPFaZRL3Nw7HszYFglzVRdN0pOoNiANoaUIrrfzRT0pFh_K9aTPw1cfyvWU5jjnwMmWdO7LND69DdcKcmZrDN3ueGyKFx7jDpZj0PW6yPaUXfB_3PpC5tTjr4</recordid><startdate>2003</startdate><enddate>2003</enddate><creator>Mompean, G.</creator><creator>Thompson, R.L.</creator><creator>Souza Mendes, P.R.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>1XC</scope></search><sort><creationdate>2003</creationdate><title>A general transformation procedure for differential viscoelastic models</title><author>Mompean, G. ; Thompson, R.L. ; Souza Mendes, P.R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2003</creationdate><topic>Differential</topic><topic>Exact sciences and technology</topic><topic>Flows in ducts, channels, nozzles, and conduits</topic><topic>Fluid dynamics</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Non-newtonian fluid flows</topic><topic>Physics</topic><topic>Transformation</topic><topic>Viscoelastic</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mompean, G.</creatorcontrib><creatorcontrib>Thompson, R.L.</creatorcontrib><creatorcontrib>Souza Mendes, P.R.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical &amp; Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Journal of non-Newtonian fluid mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mompean, G.</au><au>Thompson, R.L.</au><au>Souza Mendes, P.R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A general transformation procedure for differential viscoelastic models</atitle><jtitle>Journal of non-Newtonian fluid mechanics</jtitle><date>2003</date><risdate>2003</risdate><volume>111</volume><issue>2</issue><spage>151</spage><epage>174</epage><pages>151-174</pages><issn>0377-0257</issn><eissn>1873-2631</eissn><coden>JNFMDI</coden><notes>ObjectType-Article-2</notes><notes>SourceType-Scholarly Journals-1</notes><notes>ObjectType-Feature-1</notes><notes>content type line 23</notes><abstract>A general transformation procedure (GTP) for viscoelastic differential constitutive equations is proposed. This procedure is devised to transform a differential model (e.g. Oldroyd-B, White–Metzner (WM) and Phan-Thien–Tanner (PTT)) into another model which has just one differential equation to be solved. The resulting model is suitable for three-dimensional and time-dependent flows. A new generalized objective time derivative is employed in the procedure, lending important features to the transformed model. For example, for the case of the Oldroyd-B model, the transformed model is capable of predicting non-zero second normal stress differences. Calculations of the stress field have been performed with an Oldroyd-B based GTP model (the GTP[OldB] model) for a 4:1 contraction plane flow. The results obtained have been analyzed with the aid of a flow-type classifier, and were found to be in good agreement with the ones obtained with the original model.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0377-0257(03)00042-9</doi><tpages>24</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0377-0257
ispartof Journal of non-Newtonian fluid mechanics, 2003, Vol.111 (2), p.151-174
issn 0377-0257
1873-2631
language eng
recordid cdi_hal_primary_oai_HAL_hal_00139267v1
source ScienceDirect Freedom Collection 2022-2024
subjects Differential
Exact sciences and technology
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Non-newtonian fluid flows
Physics
Transformation
Viscoelastic
title A general transformation procedure for differential viscoelastic models
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-09-22T21%3A34%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_hal_p&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20general%20transformation%20procedure%20for%20differential%20viscoelastic%20models&rft.jtitle=Journal%20of%20non-Newtonian%20fluid%20mechanics&rft.au=Mompean,%20G.&rft.date=2003&rft.volume=111&rft.issue=2&rft.spage=151&rft.epage=174&rft.pages=151-174&rft.issn=0377-0257&rft.eissn=1873-2631&rft.coden=JNFMDI&rft_id=info:doi/10.1016/S0377-0257(03)00042-9&rft_dat=%3Cproquest_hal_p%3E27889761%3C/proquest_hal_p%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c439t-19f377de46cd034bf76b352bb3c7f7850781e11b255b5451390f276d46df09893%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=27889761&rft_id=info:pmid/&rfr_iscdi=true