The drag coefficient of a sphere: An approximation using Shanks transform
An accurate model for the drag coefficient (CD) of a falling sphere is presented in terms of a non-linear rational fractional transform of the series of Goldstein (Proc. Roy. Soc. London A, 123, 225-235, 1929) to Oseen's equation. The coefficients of the six polynomial terms are improved throug...
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| Veröffentlicht in: | Powder technology 2013-03, Vol.237, p.432-435 |
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| creator | Mikhailov, M.D. Freire, A.P. Silva |
| description | An accurate model for the drag coefficient (CD) of a falling sphere is presented in terms of a non-linear rational fractional transform of the series of Goldstein (Proc. Roy. Soc. London A, 123, 225-235, 1929) to Oseen's equation. The coefficients of the six polynomial terms are improved through a direct fit to the experimental data of Roos and Willmarth (AIAA J., 9:285-290, 1971). The model predicts CD up to Reynolds number 100,000 with a standard deviation of 0.04. Results are compared with eight different formulations of other authors.
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► The drag coefficient of a falling sphere is presented in terms of a non-linear rational fraction. ► The model predicts CD in the range 0.1 |
| doi_str_mv | 10.1016/j.powtec.2012.12.033 |
| format | Article |
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[Display omitted]
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[Display omitted]
► The drag coefficient of a falling sphere is presented in terms of a non-linear rational fraction. ► The model predicts CD in the range 0.1<Rp<100,000 with a standard deviation of 0.04. ► Results are compared with eight different formulations of other authors.</description><subject>Applied sciences</subject><subject>Approximation</subject><subject>Chemical engineering</subject><subject>drag coefficient</subject><subject>Drag coefficients</subject><subject>equations</subject><subject>Exact sciences and technology</subject><subject>Fluid flow</subject><subject>Mathematical analysis</subject><subject>Mathematical models</subject><subject>Miscellaneous</subject><subject>Oseen flow</subject><subject>Powder technology</subject><subject>Reynolds number</subject><subject>Shanks transform</subject><subject>Solid-solid systems</subject><subject>Sphere drag</subject><subject>Standard deviation</subject><subject>Transforms</subject><issn>0032-5910</issn><issn>1873-328X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWD_-gWAugpetySbZZD0IUvwCwYMteAsxO2lT282abP3496aseJQM5PLMzDsPQieUjCmh1cVy3IXPHuy4JLQc5yKM7aARVZIVrFQvu2hECCsLUVOyjw5SWhJCKkbJCD1MF4CbaObYBnDOWw9tj4PDBqduAREu8XWLTdfF8OXXpvehxZvk2zl-Xpj2LeE-mja5ENdHaM-ZVYLj3_8QzW5vppP74vHp7mFy_VhYQURfiKqmqma1s2WjGGfgLChTSUmYYpVSjquGi8o5CbVTjbKKN40olXgVnEgq2SE6H-bmSO8bSL1e-2RhtTIthE3SlPGal3V-GeUDamNIKYLTXcxHxG9Nid6a00s9mNNbczpXNpfbzn43mGTNyuULrU9_vWVOwWVVZ-504JwJ2sxjZmbPeZAgebSUYhvgaiAgC_nwEHXaCrbQ-Ai2103w_0f5AaD0jiU</recordid><startdate>20130301</startdate><enddate>20130301</enddate><creator>Mikhailov, M.D.</creator><creator>Freire, A.P. Silva</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>FBQ</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20130301</creationdate><title>The drag coefficient of a sphere: An approximation using Shanks transform</title><author>Mikhailov, M.D. ; Freire, A.P. Silva</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c505t-56918939fc2d8343efce8a6770383688f48d456ff7e9f8d8c84dd5285b5407173</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Applied sciences</topic><topic>Approximation</topic><topic>Chemical engineering</topic><topic>drag coefficient</topic><topic>Drag coefficients</topic><topic>equations</topic><topic>Exact sciences and technology</topic><topic>Fluid flow</topic><topic>Mathematical analysis</topic><topic>Mathematical models</topic><topic>Miscellaneous</topic><topic>Oseen flow</topic><topic>Powder technology</topic><topic>Reynolds number</topic><topic>Shanks transform</topic><topic>Solid-solid systems</topic><topic>Sphere drag</topic><topic>Standard deviation</topic><topic>Transforms</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mikhailov, M.D.</creatorcontrib><creatorcontrib>Freire, A.P. Silva</creatorcontrib><collection>AGRIS</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Powder technology</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mikhailov, M.D.</au><au>Freire, A.P. Silva</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The drag coefficient of a sphere: An approximation using Shanks transform</atitle><jtitle>Powder technology</jtitle><date>2013-03-01</date><risdate>2013</risdate><volume>237</volume><spage>432</spage><epage>435</epage><pages>432-435</pages><issn>0032-5910</issn><eissn>1873-328X</eissn><coden>POTEBX</coden><abstract>An accurate model for the drag coefficient (CD) of a falling sphere is presented in terms of a non-linear rational fractional transform of the series of Goldstein (Proc. Roy. Soc. London A, 123, 225-235, 1929) to Oseen's equation. The coefficients of the six polynomial terms are improved through a direct fit to the experimental data of Roos and Willmarth (AIAA J., 9:285-290, 1971). The model predicts CD up to Reynolds number 100,000 with a standard deviation of 0.04. Results are compared with eight different formulations of other authors.
[Display omitted]
► The drag coefficient of a falling sphere is presented in terms of a non-linear rational fraction. ► The model predicts CD in the range 0.1<Rp<100,000 with a standard deviation of 0.04. ► Results are compared with eight different formulations of other authors.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/j.powtec.2012.12.033</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record> |
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| ispartof | Powder technology, 2013-03, Vol.237, p.432-435 |
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| language | eng |
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| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Applied sciences Approximation Chemical engineering drag coefficient Drag coefficients equations Exact sciences and technology Fluid flow Mathematical analysis Mathematical models Miscellaneous Oseen flow Powder technology Reynolds number Shanks transform Solid-solid systems Sphere drag Standard deviation Transforms |
| title | The drag coefficient of a sphere: An approximation using Shanks transform |
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