Loading…
Numerical investigation on nano boundary layer equation with Navier boundary condition
In this paper, by applying rational Legendre collocation technique and relaxation method, the classical laminar boundary layer equations with the nonlinear Navier boundary conditions are investigated. The features of the flow characteristics for different values of n are discussed. Numerical approac...
Saved in:
Published in: | Mathematical methods in the applied sciences 2012-05, Vol.35 (8), p.976-992 |
---|---|
Main Authors: | , , |
Format: | Article |
Language: | English |
Subjects: | |
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-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43 |
---|---|
cites | cdi_FETCH-LOGICAL-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43 |
container_end_page | 992 |
container_issue | 8 |
container_start_page | 976 |
container_title | Mathematical methods in the applied sciences |
container_volume | 35 |
creator | Rezaei, A. R. Shaban, M. Parand, K. |
description | In this paper, by applying rational Legendre collocation technique and relaxation method, the classical laminar boundary layer equations with the nonlinear Navier boundary conditions are investigated. The features of the flow characteristics for different values of n are discussed. Numerical approaches are used to find solutions for the cases n > 1 / 2 corresponding to the flow past a wedge and n = 1 / 2 corresponding to the flow in a convergent channel. During the comparison, the effectivity and stability of the applied methods are demonstrated. The effects of the varying slip length, index parameter, components of velocity, and tangential stress are analyzed. Copyright © 2012 John Wiley & Sons, Ltd. |
doi_str_mv | 10.1002/mma.2510 |
format | article |
fullrecord | <record><control><sourceid>istex_cross</sourceid><recordid>TN_cdi_crossref_primary_10_1002_mma_2510</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>ark_67375_WNG_G03LSWTM_N</sourcerecordid><originalsourceid>FETCH-LOGICAL-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43</originalsourceid><addsrcrecordid>eNp1kE1Lw0AQhhdRsFbBn5Cjl-jM7ibbHEvRKrTxYLXHZZNMdDUfupu29t-bUil4EAYG5n0YXh7GLhGuEYDf1LW55hHCERsgJEmIUsXHbACoIJQc5Sk78_4dAEaIfMBe0lVNzuamCmyzJt_ZV9PZtgn6aUzTBlm7agrjtkFltuQC-lrt843t3oLUrG1_PDB52xR2F5-zk9JUni5-95A9390uJvfh7HH6MBnPwlyAgDASAnhcEiYyk7HoG1FRSsqQx1RyUdIIMqHQQB6NElKFUEDKEBdSYhQVUgzZ1f5v7lrvHZX609m6r6IR9M6H7n3onY8eDffoxla0_ZfT8_n4L299R98H3rgPHSuhIr1Mp3oKYva0XMx1Kn4AeJZxQw</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Numerical investigation on nano boundary layer equation with Navier boundary condition</title><source>Wiley</source><creator>Rezaei, A. R. ; Shaban, M. ; Parand, K.</creator><creatorcontrib>Rezaei, A. R. ; Shaban, M. ; Parand, K.</creatorcontrib><description>In this paper, by applying rational Legendre collocation technique and relaxation method, the classical laminar boundary layer equations with the nonlinear Navier boundary conditions are investigated. The features of the flow characteristics for different values of n are discussed. Numerical approaches are used to find solutions for the cases n > 1 / 2 corresponding to the flow past a wedge and n = 1 / 2 corresponding to the flow in a convergent channel. During the comparison, the effectivity and stability of the applied methods are demonstrated. The effects of the varying slip length, index parameter, components of velocity, and tangential stress are analyzed. Copyright © 2012 John Wiley & Sons, Ltd.</description><identifier>ISSN: 0170-4214</identifier><identifier>EISSN: 1099-1476</identifier><identifier>DOI: 10.1002/mma.2510</identifier><language>eng</language><publisher>Chichester, UK: John Wiley & Sons, Ltd</publisher><subject>boundary layer ; nanoscale fluids ; nonlinear Navier boundary condition ; rational Legendre collocation (RLC) ; relaxation method</subject><ispartof>Mathematical methods in the applied sciences, 2012-05, Vol.35 (8), p.976-992</ispartof><rights>Copyright © 2012 John Wiley & Sons, Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43</citedby><cites>FETCH-LOGICAL-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Rezaei, A. R.</creatorcontrib><creatorcontrib>Shaban, M.</creatorcontrib><creatorcontrib>Parand, K.</creatorcontrib><title>Numerical investigation on nano boundary layer equation with Navier boundary condition</title><title>Mathematical methods in the applied sciences</title><addtitle>Math. Meth. Appl. Sci</addtitle><description>In this paper, by applying rational Legendre collocation technique and relaxation method, the classical laminar boundary layer equations with the nonlinear Navier boundary conditions are investigated. The features of the flow characteristics for different values of n are discussed. Numerical approaches are used to find solutions for the cases n > 1 / 2 corresponding to the flow past a wedge and n = 1 / 2 corresponding to the flow in a convergent channel. During the comparison, the effectivity and stability of the applied methods are demonstrated. The effects of the varying slip length, index parameter, components of velocity, and tangential stress are analyzed. Copyright © 2012 John Wiley & Sons, Ltd.</description><subject>boundary layer</subject><subject>nanoscale fluids</subject><subject>nonlinear Navier boundary condition</subject><subject>rational Legendre collocation (RLC)</subject><subject>relaxation method</subject><issn>0170-4214</issn><issn>1099-1476</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNp1kE1Lw0AQhhdRsFbBn5Cjl-jM7ibbHEvRKrTxYLXHZZNMdDUfupu29t-bUil4EAYG5n0YXh7GLhGuEYDf1LW55hHCERsgJEmIUsXHbACoIJQc5Sk78_4dAEaIfMBe0lVNzuamCmyzJt_ZV9PZtgn6aUzTBlm7agrjtkFltuQC-lrt843t3oLUrG1_PDB52xR2F5-zk9JUni5-95A9390uJvfh7HH6MBnPwlyAgDASAnhcEiYyk7HoG1FRSsqQx1RyUdIIMqHQQB6NElKFUEDKEBdSYhQVUgzZ1f5v7lrvHZX609m6r6IR9M6H7n3onY8eDffoxla0_ZfT8_n4L299R98H3rgPHSuhIr1Mp3oKYva0XMx1Kn4AeJZxQw</recordid><startdate>20120530</startdate><enddate>20120530</enddate><creator>Rezaei, A. R.</creator><creator>Shaban, M.</creator><creator>Parand, K.</creator><general>John Wiley & Sons, Ltd</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20120530</creationdate><title>Numerical investigation on nano boundary layer equation with Navier boundary condition</title><author>Rezaei, A. R. ; Shaban, M. ; Parand, K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>boundary layer</topic><topic>nanoscale fluids</topic><topic>nonlinear Navier boundary condition</topic><topic>rational Legendre collocation (RLC)</topic><topic>relaxation method</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rezaei, A. R.</creatorcontrib><creatorcontrib>Shaban, M.</creatorcontrib><creatorcontrib>Parand, K.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Mathematical methods in the applied sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rezaei, A. R.</au><au>Shaban, M.</au><au>Parand, K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical investigation on nano boundary layer equation with Navier boundary condition</atitle><jtitle>Mathematical methods in the applied sciences</jtitle><addtitle>Math. Meth. Appl. Sci</addtitle><date>2012-05-30</date><risdate>2012</risdate><volume>35</volume><issue>8</issue><spage>976</spage><epage>992</epage><pages>976-992</pages><issn>0170-4214</issn><eissn>1099-1476</eissn><abstract>In this paper, by applying rational Legendre collocation technique and relaxation method, the classical laminar boundary layer equations with the nonlinear Navier boundary conditions are investigated. The features of the flow characteristics for different values of n are discussed. Numerical approaches are used to find solutions for the cases n > 1 / 2 corresponding to the flow past a wedge and n = 1 / 2 corresponding to the flow in a convergent channel. During the comparison, the effectivity and stability of the applied methods are demonstrated. The effects of the varying slip length, index parameter, components of velocity, and tangential stress are analyzed. Copyright © 2012 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/mma.2510</doi><tpages>17</tpages></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0170-4214 |
ispartof | Mathematical methods in the applied sciences, 2012-05, Vol.35 (8), p.976-992 |
issn | 0170-4214 1099-1476 |
language | eng |
recordid | cdi_crossref_primary_10_1002_mma_2510 |
source | Wiley |
subjects | boundary layer nanoscale fluids nonlinear Navier boundary condition rational Legendre collocation (RLC) relaxation method |
title | Numerical investigation on nano boundary layer equation with Navier boundary condition |
url | http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-30T18%3A41%3A16IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-istex_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Numerical%20investigation%20on%20nano%20boundary%20layer%20equation%20with%20Navier%20boundary%20condition&rft.jtitle=Mathematical%20methods%20in%20the%20applied%20sciences&rft.au=Rezaei,%20A.%20R.&rft.date=2012-05-30&rft.volume=35&rft.issue=8&rft.spage=976&rft.epage=992&rft.pages=976-992&rft.issn=0170-4214&rft.eissn=1099-1476&rft_id=info:doi/10.1002/mma.2510&rft_dat=%3Cistex_cross%3Eark_67375_WNG_G03LSWTM_N%3C/istex_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c3030-533026fe194b463112edf4eb126ef23fe80b371a0c589e7d370e7ae2344155d43%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 |