Numerical simulation of liquid crystalline polymer flow into two-dimensional thin cavity moulds
In this paper, flows of liquid crystalline polymers into two‐dimensional thin cavity moulds are simulated. The flows are modelled by Ericksen–Leslie equations of motion in the high viscosity limit. An elliptic pressure equation is derived under Hele–Shaw approximations, and the non‐isothermal nature...
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| Veröffentlicht in: | International journal for numerical methods in fluids 2009-02, Vol.59 (6), p.593-609 |
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| container_title | International journal for numerical methods in fluids |
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| creator | Sun, Jianye |
| description | In this paper, flows of liquid crystalline polymers into two‐dimensional thin cavity moulds are simulated. The flows are modelled by Ericksen–Leslie equations of motion in the high viscosity limit. An elliptic pressure equation is derived under Hele–Shaw approximations, and the non‐isothermal natures of the flow are modelled. The equations are solved using the finite‐difference technique. A new boundary‐mapping technique is developed in this study to solve the difficulty in the finite‐difference treatment of arbitrarily shaped boundaries, which possess no natural coordinate system. This new method avoids the difficult mesh control in the body‐fitted mapping process and makes the mapping process easy to implement. It can also solve the problems caused by the uneven distribution of grid nodes in the traditional body‐fitted mapping technique. Copyright © 2008 John Wiley & Sons, Ltd. |
| doi_str_mv | 10.1002/fld.1833 |
| format | Article |
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The flows are modelled by Ericksen–Leslie equations of motion in the high viscosity limit. An elliptic pressure equation is derived under Hele–Shaw approximations, and the non‐isothermal natures of the flow are modelled. The equations are solved using the finite‐difference technique. A new boundary‐mapping technique is developed in this study to solve the difficulty in the finite‐difference treatment of arbitrarily shaped boundaries, which possess no natural coordinate system. This new method avoids the difficult mesh control in the body‐fitted mapping process and makes the mapping process easy to implement. It can also solve the problems caused by the uneven distribution of grid nodes in the traditional body‐fitted mapping technique. 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Copyright © 2008 John Wiley & Sons, Ltd.</description><subject>Applied sciences</subject><subject>boundary-fitted mapping</subject><subject>Exact sciences and technology</subject><subject>finite-difference methods</subject><subject>liquid crystal polymer flow</subject><subject>Machinery and processing</subject><subject>Moulding</subject><subject>Navier-Stokes</subject><subject>non-Newtonian</subject><subject>partial differential equations</subject><subject>Plastics</subject><subject>Polymer industry, paints, wood</subject><subject>Technology of polymers</subject><issn>0271-2091</issn><issn>1097-0363</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2009</creationdate><recordtype>article</recordtype><recordid>eNp1kE1vGyEQhlHUSHGdSvkJXFr1sukAXliOVRpvPiznkipHhFhQadnFgd24---LZSu3ag5zmGee0bwIXRG4JgD0mwvdNWkYO0MLAlJUwDj7gBZABakoSHKBPub8GwAkbdgCqe3U2-SNDjj7fgp69HHA0eHgXyffYZPmPOoQ_GDxLoa5wNiFuMd-GCMe97HqfG-HXLaKYvzlB2z0mx9n3McpdPkSnTsdsv106kv0c337fHNXbZ7a-5vvm8owvmLVatU4wgw1RHRSgwXNHazqjnPBykBqKYRmsrENcC1AN8KYGmRNuStFa7ZEX47eXYqvk82j6n02NgQ92DhlxTg0gtaygF-PoEkx52Sd2iXf6zQrAuqQoCoJqkOCBf18cupcAnJJD8bnd54SqGXND7erI7f3wc7_9an15sfJe-J9Hu3fd16nP6q8K2r1sm3VlrePrXyQ6oH9Ayrzjp0</recordid><startdate>20090228</startdate><enddate>20090228</enddate><creator>Sun, Jianye</creator><general>John Wiley & Sons, Ltd</general><general>Wiley</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>7U5</scope><scope>8FD</scope><scope>FR3</scope><scope>H8D</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20090228</creationdate><title>Numerical simulation of liquid crystalline polymer flow into two-dimensional thin cavity moulds</title><author>Sun, Jianye</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c3643-448f13c2c17d9a0e0a6f045d6673f139a977a398e806a70a87cc509526f6f6253</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2009</creationdate><topic>Applied sciences</topic><topic>boundary-fitted mapping</topic><topic>Exact sciences and technology</topic><topic>finite-difference methods</topic><topic>liquid crystal polymer flow</topic><topic>Machinery and processing</topic><topic>Moulding</topic><topic>Navier-Stokes</topic><topic>non-Newtonian</topic><topic>partial differential equations</topic><topic>Plastics</topic><topic>Polymer industry, paints, wood</topic><topic>Technology of polymers</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sun, Jianye</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal for numerical methods in fluids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sun, Jianye</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Numerical simulation of liquid crystalline polymer flow into two-dimensional thin cavity moulds</atitle><jtitle>International journal for numerical methods in fluids</jtitle><addtitle>Int. J. Numer. Meth. Fluids</addtitle><date>2009-02-28</date><risdate>2009</risdate><volume>59</volume><issue>6</issue><spage>593</spage><epage>609</epage><pages>593-609</pages><issn>0271-2091</issn><eissn>1097-0363</eissn><coden>IJNFDW</coden><abstract>In this paper, flows of liquid crystalline polymers into two‐dimensional thin cavity moulds are simulated. The flows are modelled by Ericksen–Leslie equations of motion in the high viscosity limit. An elliptic pressure equation is derived under Hele–Shaw approximations, and the non‐isothermal natures of the flow are modelled. The equations are solved using the finite‐difference technique. A new boundary‐mapping technique is developed in this study to solve the difficulty in the finite‐difference treatment of arbitrarily shaped boundaries, which possess no natural coordinate system. This new method avoids the difficult mesh control in the body‐fitted mapping process and makes the mapping process easy to implement. It can also solve the problems caused by the uneven distribution of grid nodes in the traditional body‐fitted mapping technique. Copyright © 2008 John Wiley & Sons, Ltd.</abstract><cop>Chichester, UK</cop><pub>John Wiley & Sons, Ltd</pub><doi>10.1002/fld.1833</doi><tpages>17</tpages></addata></record> |
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| ispartof | International journal for numerical methods in fluids, 2009-02, Vol.59 (6), p.593-609 |
| issn | 0271-2091 1097-0363 |
| language | eng |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | Applied sciences boundary-fitted mapping Exact sciences and technology finite-difference methods liquid crystal polymer flow Machinery and processing Moulding Navier-Stokes non-Newtonian partial differential equations Plastics Polymer industry, paints, wood Technology of polymers |
| title | Numerical simulation of liquid crystalline polymer flow into two-dimensional thin cavity moulds |
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