Pressure drop predictions for laminar pipe flow of carreau and modified power law fluids
Fluids used in many chemical and petroleum industrial processes are often described as complex systems that exhibit non‐Newtonian character. Due to the complex nature of non‐Newtonian fluids, universally accepted flow equations are unavailable. This paper uses the Carreau and modified power law–Cros...
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| Veröffentlicht in: | Canadian journal of chemical engineering 2015-05, Vol.93 (5), p.929-934 |
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| container_title | Canadian journal of chemical engineering |
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| creator | Dosunmu, Idowu T. Shah, Subhash N. |
| description | Fluids used in many chemical and petroleum industrial processes are often described as complex systems that exhibit non‐Newtonian character. Due to the complex nature of non‐Newtonian fluids, universally accepted flow equations are unavailable. This paper uses the Carreau and modified power law–Cross (MPL‐Cross) rheological models to derive pressure drop–flow rate relationships under laminar flow condition. The aim is to develop simple but effective equations that enable accurate estimation of pressure drop for flow in any pipe size using viscometric data. The new relationships compare favourably with experimental data. Furthermore, new Reynolds number and generalized Reynolds number expressions have been defined. |
| doi_str_mv | 10.1002/cjce.22170 |
| format | Article |
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Due to the complex nature of non‐Newtonian fluids, universally accepted flow equations are unavailable. This paper uses the Carreau and modified power law–Cross (MPL‐Cross) rheological models to derive pressure drop–flow rate relationships under laminar flow condition. The aim is to develop simple but effective equations that enable accurate estimation of pressure drop for flow in any pipe size using viscometric data. The new relationships compare favourably with experimental data. Furthermore, new Reynolds number and generalized Reynolds number expressions have been defined.</description><identifier>ISSN: 0008-4034</identifier><identifier>EISSN: 1939-019X</identifier><identifier>DOI: 10.1002/cjce.22170</identifier><language>eng</language><publisher>Blackwell Publishing Ltd</publisher><subject>Carreau model ; Complex systems ; Computational fluid dynamics ; Flow equations ; Fluid flow ; Fluids ; generalized Reynolds number ; laminar pipe flow ; Mathematical models ; MPL-Cross model ; Pressure drop ; pressure loss ; Reynolds number</subject><ispartof>Canadian journal of chemical engineering, 2015-05, Vol.93 (5), p.929-934</ispartof><rights>2015 Canadian Society for Chemical Engineering</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c4510-4760a7a6d80f12d7c47dddb892467dc17eaf7cfbd4b583c89985fafb1f014d193</citedby><cites>FETCH-LOGICAL-c4510-4760a7a6d80f12d7c47dddb892467dc17eaf7cfbd4b583c89985fafb1f014d193</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://onlinelibrary.wiley.com/doi/pdf/10.1002%2Fcjce.22170$$EPDF$$P50$$Gwiley$$H</linktopdf><linktohtml>$$Uhttps://onlinelibrary.wiley.com/doi/full/10.1002%2Fcjce.22170$$EHTML$$P50$$Gwiley$$H</linktohtml><link.rule.ids>314,776,780,1411,27901,27902,45550,45551</link.rule.ids></links><search><creatorcontrib>Dosunmu, Idowu T.</creatorcontrib><creatorcontrib>Shah, Subhash N.</creatorcontrib><title>Pressure drop predictions for laminar pipe flow of carreau and modified power law fluids</title><title>Canadian journal of chemical engineering</title><addtitle>Can. J. Chem. Eng</addtitle><description>Fluids used in many chemical and petroleum industrial processes are often described as complex systems that exhibit non‐Newtonian character. Due to the complex nature of non‐Newtonian fluids, universally accepted flow equations are unavailable. This paper uses the Carreau and modified power law–Cross (MPL‐Cross) rheological models to derive pressure drop–flow rate relationships under laminar flow condition. The aim is to develop simple but effective equations that enable accurate estimation of pressure drop for flow in any pipe size using viscometric data. The new relationships compare favourably with experimental data. Furthermore, new Reynolds number and generalized Reynolds number expressions have been defined.</description><subject>Carreau model</subject><subject>Complex systems</subject><subject>Computational fluid dynamics</subject><subject>Flow equations</subject><subject>Fluid flow</subject><subject>Fluids</subject><subject>generalized Reynolds number</subject><subject>laminar pipe flow</subject><subject>Mathematical models</subject><subject>MPL-Cross model</subject><subject>Pressure drop</subject><subject>pressure loss</subject><subject>Reynolds number</subject><issn>0008-4034</issn><issn>1939-019X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><recordid>eNp9kM9LwzAUgIMoOKcX_4IcRehM0rRJj1J1KkM9KA4vIc0PyGyXmqzU_fd2Vj16ejz4vgfvA-AUoxlGiFyolTIzQjBDe2CCi7RIEC6W-2CCEOIJRSk9BEcxroaVIIonYPkUTIxdMFAH38I2GO3Uxvl1hNYHWMvGrWWArWsNtLXvobdQyRCM7KBca9h47awzGra-Nzu-H7DO6XgMDqysozn5mVPwcnP9XN4mi8f5XXm5SBTNMEooy5FkMtccWUw0U5RprSteEJozrTAz0jJlK02rjKeKFwXPrLQVtghTPXw4BWfj3Tb4j87EjWhcVKau5dr4LoohBcYYcU4G9HxEVfAxBmNFG1wjw1ZgJHb5xC6f-M43wHiEe1eb7T-kKO_L618nGR0XN-bzz5HhXeQsZZl4fZiLt2WW5ldzLkj6BUK2ghU</recordid><startdate>201505</startdate><enddate>201505</enddate><creator>Dosunmu, Idowu T.</creator><creator>Shah, Subhash N.</creator><general>Blackwell Publishing Ltd</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7SU</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>201505</creationdate><title>Pressure drop predictions for laminar pipe flow of carreau and modified power law fluids</title><author>Dosunmu, Idowu T. ; Shah, Subhash N.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c4510-4760a7a6d80f12d7c47dddb892467dc17eaf7cfbd4b583c89985fafb1f014d193</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Carreau model</topic><topic>Complex systems</topic><topic>Computational fluid dynamics</topic><topic>Flow equations</topic><topic>Fluid flow</topic><topic>Fluids</topic><topic>generalized Reynolds number</topic><topic>laminar pipe flow</topic><topic>Mathematical models</topic><topic>MPL-Cross model</topic><topic>Pressure drop</topic><topic>pressure loss</topic><topic>Reynolds number</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dosunmu, Idowu T.</creatorcontrib><creatorcontrib>Shah, Subhash N.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Environmental Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Canadian journal of chemical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dosunmu, Idowu T.</au><au>Shah, Subhash N.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Pressure drop predictions for laminar pipe flow of carreau and modified power law fluids</atitle><jtitle>Canadian journal of chemical engineering</jtitle><addtitle>Can. J. Chem. Eng</addtitle><date>2015-05</date><risdate>2015</risdate><volume>93</volume><issue>5</issue><spage>929</spage><epage>934</epage><pages>929-934</pages><issn>0008-4034</issn><eissn>1939-019X</eissn><abstract>Fluids used in many chemical and petroleum industrial processes are often described as complex systems that exhibit non‐Newtonian character. Due to the complex nature of non‐Newtonian fluids, universally accepted flow equations are unavailable. This paper uses the Carreau and modified power law–Cross (MPL‐Cross) rheological models to derive pressure drop–flow rate relationships under laminar flow condition. The aim is to develop simple but effective equations that enable accurate estimation of pressure drop for flow in any pipe size using viscometric data. The new relationships compare favourably with experimental data. 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| ispartof | Canadian journal of chemical engineering, 2015-05, Vol.93 (5), p.929-934 |
| issn | 0008-4034 1939-019X |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Carreau model Complex systems Computational fluid dynamics Flow equations Fluid flow Fluids generalized Reynolds number laminar pipe flow Mathematical models MPL-Cross model Pressure drop pressure loss Reynolds number |
| title | Pressure drop predictions for laminar pipe flow of carreau and modified power law fluids |
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