Self-similar turbulent boundary layer with imposed pressure gradient. Velocity-defect law
Self-similar flows in a turbulent boundary layer when the free-stream velocity is specified as a power function of the longitudinal coordinate are investigated. The self-similar formulation not only simplifies solving the problem by reducing the equations of motion to ordinary differential equations...
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| Veröffentlicht in: | Journal of experimental and theoretical physics 2013-08, Vol.117 (2), p.356-368 |
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| container_title | Journal of experimental and theoretical physics |
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| creator | Vigdorovich, I. I. |
| description | Self-similar flows in a turbulent boundary layer when the free-stream velocity is specified as a power function of the longitudinal coordinate are investigated. The self-similar formulation not only simplifies solving the problem by reducing the equations of motion to ordinary differential equations but also provides a mean for formulating the closure conditions for these equations. It is shown that for the class of flows under consideration that depend on three governing parameters, the dimensionless mixing length in the outer region is a function of the normalized distance from the wall and the exponent
m
of the power law. In calculations, this function is assumed to be independent of pressure gradient, which gives the results very close to experimental data. As a result of an exact asymptotic solution of the problem, we establish the characteristic scale of the velocity defect in the outer region (the velocity-defect law) valid in the entire range of variation of the Clauser similarity parameter. |
| doi_str_mv | 10.1134/S106377611310018X |
| format | Article |
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m
of the power law. In calculations, this function is assumed to be independent of pressure gradient, which gives the results very close to experimental data. As a result of an exact asymptotic solution of the problem, we establish the characteristic scale of the velocity defect in the outer region (the velocity-defect law) valid in the entire range of variation of the Clauser similarity parameter.</description><identifier>ISSN: 1063-7761</identifier><identifier>EISSN: 1090-6509</identifier><identifier>DOI: 10.1134/S106377611310018X</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>ASYMPTOTIC SOLUTIONS ; BOUNDARY LAYERS ; Classical and Quantum Gravitation ; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ; DEFECTS ; Elementary Particles ; EQUATIONS OF MOTION ; FUNCTIONS ; MIXING ; Nonlinear ; Particle and Nuclear Physics ; Physics ; Physics and Astronomy ; PRESSURE GRADIENTS ; Quantum Field Theory ; Relativity Theory ; Soft Matter Physics ; Solid State Physics ; Statistical ; STREAMS ; VELOCITY</subject><ispartof>Journal of experimental and theoretical physics, 2013-08, Vol.117 (2), p.356-368</ispartof><rights>Pleiades Publishing, Ltd. 2013</rights><rights>COPYRIGHT 2013 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c389t-5cf2f56600132e1897acaf579c7f71338d104c39ed24baa9435b37579e490fb3</citedby><cites>FETCH-LOGICAL-c389t-5cf2f56600132e1897acaf579c7f71338d104c39ed24baa9435b37579e490fb3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S106377611310018X$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S106377611310018X$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://www.osti.gov/biblio/22210504$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Vigdorovich, I. I.</creatorcontrib><title>Self-similar turbulent boundary layer with imposed pressure gradient. Velocity-defect law</title><title>Journal of experimental and theoretical physics</title><addtitle>J. Exp. Theor. Phys</addtitle><description>Self-similar flows in a turbulent boundary layer when the free-stream velocity is specified as a power function of the longitudinal coordinate are investigated. The self-similar formulation not only simplifies solving the problem by reducing the equations of motion to ordinary differential equations but also provides a mean for formulating the closure conditions for these equations. It is shown that for the class of flows under consideration that depend on three governing parameters, the dimensionless mixing length in the outer region is a function of the normalized distance from the wall and the exponent
m
of the power law. In calculations, this function is assumed to be independent of pressure gradient, which gives the results very close to experimental data. As a result of an exact asymptotic solution of the problem, we establish the characteristic scale of the velocity defect in the outer region (the velocity-defect law) valid in the entire range of variation of the Clauser similarity parameter.</description><subject>ASYMPTOTIC SOLUTIONS</subject><subject>BOUNDARY LAYERS</subject><subject>Classical and Quantum Gravitation</subject><subject>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</subject><subject>DEFECTS</subject><subject>Elementary Particles</subject><subject>EQUATIONS OF MOTION</subject><subject>FUNCTIONS</subject><subject>MIXING</subject><subject>Nonlinear</subject><subject>Particle and Nuclear Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>PRESSURE GRADIENTS</subject><subject>Quantum Field Theory</subject><subject>Relativity Theory</subject><subject>Soft Matter Physics</subject><subject>Solid State Physics</subject><subject>Statistical</subject><subject>STREAMS</subject><subject>VELOCITY</subject><issn>1063-7761</issn><issn>1090-6509</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kU1LAzEQhhdRsFZ_gLcFTx62TjbZjxxF_CgIghXRU8hmJzVlu1uSLNp_75R6EcFTPuZ5kpeZJDlnMGOMi6sFg5JXVUkHBsDqt4NkwkBCVhYgD3f7kme7-nFyEsIKAOoc5CR5X2Bns-DWrtM-jaNvxg77mDbD2Lfab9NOb9Gnny5-pG69GQK26cZjCKPHdOl164iepa_YDcbFbdaiRRPJ-jxNjqzuAp79rNPk5e725eYhe3y6n99cP2aG1zJmhbG5LcqSQvMcWS0rbbQtKmkqWzHO65aBMFxim4tGayl40fCK6igk2IZPk4v9s0OITgUKgebDDH1PMVSe5wwKEETN9tRSd6hcb4fo6R-jW1w7otE6ur_mQoAooWAkXP4SiIn4FZd6DEHNF8-_WbZnjR9C8GjVxrs1NU8xULvpqD_TISffO4HYfolerYbR99Sof6RvKsuQSA</recordid><startdate>20130801</startdate><enddate>20130801</enddate><creator>Vigdorovich, I. I.</creator><general>Springer US</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope><scope>ISR</scope><scope>OTOTI</scope></search><sort><creationdate>20130801</creationdate><title>Self-similar turbulent boundary layer with imposed pressure gradient. Velocity-defect law</title><author>Vigdorovich, I. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c389t-5cf2f56600132e1897acaf579c7f71338d104c39ed24baa9435b37579e490fb3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>ASYMPTOTIC SOLUTIONS</topic><topic>BOUNDARY LAYERS</topic><topic>Classical and Quantum Gravitation</topic><topic>CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS</topic><topic>DEFECTS</topic><topic>Elementary Particles</topic><topic>EQUATIONS OF MOTION</topic><topic>FUNCTIONS</topic><topic>MIXING</topic><topic>Nonlinear</topic><topic>Particle and Nuclear Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>PRESSURE GRADIENTS</topic><topic>Quantum Field Theory</topic><topic>Relativity Theory</topic><topic>Soft Matter Physics</topic><topic>Solid State Physics</topic><topic>Statistical</topic><topic>STREAMS</topic><topic>VELOCITY</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vigdorovich, I. I.</creatorcontrib><collection>CrossRef</collection><collection>Gale In Context: Science</collection><collection>OSTI.GOV</collection><jtitle>Journal of experimental and theoretical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vigdorovich, I. I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Self-similar turbulent boundary layer with imposed pressure gradient. Velocity-defect law</atitle><jtitle>Journal of experimental and theoretical physics</jtitle><stitle>J. Exp. Theor. Phys</stitle><date>2013-08-01</date><risdate>2013</risdate><volume>117</volume><issue>2</issue><spage>356</spage><epage>368</epage><pages>356-368</pages><issn>1063-7761</issn><eissn>1090-6509</eissn><abstract>Self-similar flows in a turbulent boundary layer when the free-stream velocity is specified as a power function of the longitudinal coordinate are investigated. The self-similar formulation not only simplifies solving the problem by reducing the equations of motion to ordinary differential equations but also provides a mean for formulating the closure conditions for these equations. It is shown that for the class of flows under consideration that depend on three governing parameters, the dimensionless mixing length in the outer region is a function of the normalized distance from the wall and the exponent
m
of the power law. In calculations, this function is assumed to be independent of pressure gradient, which gives the results very close to experimental data. As a result of an exact asymptotic solution of the problem, we establish the characteristic scale of the velocity defect in the outer region (the velocity-defect law) valid in the entire range of variation of the Clauser similarity parameter.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1134/S106377611310018X</doi><tpages>13</tpages></addata></record> |
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| subjects | ASYMPTOTIC SOLUTIONS BOUNDARY LAYERS Classical and Quantum Gravitation CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS DEFECTS Elementary Particles EQUATIONS OF MOTION FUNCTIONS MIXING Nonlinear Particle and Nuclear Physics Physics Physics and Astronomy PRESSURE GRADIENTS Quantum Field Theory Relativity Theory Soft Matter Physics Solid State Physics Statistical STREAMS VELOCITY |
| title | Self-similar turbulent boundary layer with imposed pressure gradient. Velocity-defect law |
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