Exact and Asymptotic solution of a steady two dimensional boundary layer of a Micropolar fluid flow past a moving wedge
In this paper, we propose an analytic solution of a boundary value problem which models a steady, laminar, two dimensional, boundary layer flow of an incompressible and viscous micropolar fluid over a moving wedge. The governing non-linear partial differential equations are converted into highly non...
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| Veröffentlicht in: | Journal of physics. Conference series 2020-07, Vol.1597 (1), p.12020 |
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| creator | Kudenatti, Ramesh B. Vanitha, V. R. |
| description | In this paper, we propose an analytic solution of a boundary value problem which models a steady, laminar, two dimensional, boundary layer flow of an incompressible and viscous micropolar fluid over a moving wedge. The governing non-linear partial differential equations are converted into highly non-linear ordinary differential equations using similarity transformations. An analytical exact solution obtained for particular values of parameters are then extended to obtain an exact solution for more general values of the parameters involved. We also propose asymptotic solution of the Micropolar boundary layer flow. The results thus obtained are compared with those of direct numerical solutions, which show a good agreement. The results are discussed in terms of velocity profiles and wall shear stresses for various physical parameters. |
| doi_str_mv | 10.1088/1742-6596/1597/1/012020 |
| format | Article |
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The results are discussed in terms of velocity profiles and wall shear stresses for various physical parameters.</description><identifier>ISSN: 1742-6588</identifier><identifier>EISSN: 1742-6596</identifier><identifier>DOI: 10.1088/1742-6596/1597/1/012020</identifier><language>eng</language><publisher>Bristol: IOP Publishing</publisher><subject>Asymptotic methods ; Asymptotic solution ; Boundary layer flow ; Boundary value problems ; Computational fluid dynamics ; Exact solution ; Exact solutions ; Fluid flow ; Incompressible flow ; Laminar Boundary layer ; Micropolar fluids ; Nonlinear differential equations ; Ordinary differential equations ; Parameters ; Partial differential equations ; Physical properties ; Physics ; Similarity transformations ; Two dimensional boundary layer ; Two dimensional flow ; Two dimensional models ; Velocity distribution ; Wall shear stresses ; Wedges</subject><ispartof>Journal of physics. Conference series, 2020-07, Vol.1597 (1), p.12020</ispartof><rights>Published under licence by IOP Publishing Ltd</rights><rights>2020. This work is published under http://creativecommons.org/licenses/by/3.0/ (the “License”). 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Conference series</title><addtitle>J. Phys.: Conf. Ser</addtitle><description>In this paper, we propose an analytic solution of a boundary value problem which models a steady, laminar, two dimensional, boundary layer flow of an incompressible and viscous micropolar fluid over a moving wedge. The governing non-linear partial differential equations are converted into highly non-linear ordinary differential equations using similarity transformations. An analytical exact solution obtained for particular values of parameters are then extended to obtain an exact solution for more general values of the parameters involved. We also propose asymptotic solution of the Micropolar boundary layer flow. The results thus obtained are compared with those of direct numerical solutions, which show a good agreement. The results are discussed in terms of velocity profiles and wall shear stresses for various physical parameters.</description><subject>Asymptotic methods</subject><subject>Asymptotic solution</subject><subject>Boundary layer flow</subject><subject>Boundary value problems</subject><subject>Computational fluid dynamics</subject><subject>Exact solution</subject><subject>Exact solutions</subject><subject>Fluid flow</subject><subject>Incompressible flow</subject><subject>Laminar Boundary layer</subject><subject>Micropolar fluids</subject><subject>Nonlinear differential equations</subject><subject>Ordinary differential equations</subject><subject>Parameters</subject><subject>Partial differential equations</subject><subject>Physical properties</subject><subject>Physics</subject><subject>Similarity transformations</subject><subject>Two dimensional boundary layer</subject><subject>Two dimensional flow</subject><subject>Two dimensional models</subject><subject>Velocity distribution</subject><subject>Wall shear stresses</subject><subject>Wedges</subject><issn>1742-6588</issn><issn>1742-6596</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>O3W</sourceid><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><recordid>eNqFkN1KxDAQRosouK4-gwHvhNpJ0jbt5bL4y4qCeh3Splm6tE1NWmvf3pTKiiCYiyQw55tMjuedY7jCkCQBZiHx4yiNAxylLMABYAIEDrzFvnK4vyfJsXdi7Q6AusUW3nD9KfIOiUailR3rttNdmSOrq74rdYO0QgLZrhByRN2gkSzrorGuIiqU6b6RwoyoEmNhZvSxzI1udSUMUlVfSrfrAbXCuidQrT_KZouGQm6LU-9IicoWZ9_n0nu7uX5d3_mbp9v79Wrj54SF4EdRTmSKkwyHkuZYSAIqphgYVRlLFUSQShkKyRIcMwLSgXGW0AQzKkEqQZfexdy3Nfq9L2zHd7o3bnzLScQgimOWgqPYTLnprTWF4q0pa_c3joFPlvnkj08u-WSZYz5bdkk6J0vd_rT-P3X5R-rhef3yG-StVPQLgFyM4A</recordid><startdate>20200701</startdate><enddate>20200701</enddate><creator>Kudenatti, Ramesh B.</creator><creator>Vanitha, V. 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R.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2740-55c2d918b14d3c1ad20f631073fb79f0509dd4ad7816720d8b16b838173d0dfa3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Asymptotic methods</topic><topic>Asymptotic solution</topic><topic>Boundary layer flow</topic><topic>Boundary value problems</topic><topic>Computational fluid dynamics</topic><topic>Exact solution</topic><topic>Exact solutions</topic><topic>Fluid flow</topic><topic>Incompressible flow</topic><topic>Laminar Boundary layer</topic><topic>Micropolar fluids</topic><topic>Nonlinear differential equations</topic><topic>Ordinary differential equations</topic><topic>Parameters</topic><topic>Partial differential equations</topic><topic>Physical properties</topic><topic>Physics</topic><topic>Similarity transformations</topic><topic>Two dimensional boundary layer</topic><topic>Two dimensional flow</topic><topic>Two dimensional models</topic><topic>Velocity distribution</topic><topic>Wall shear stresses</topic><topic>Wedges</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kudenatti, Ramesh B.</creatorcontrib><creatorcontrib>Vanitha, V. 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Conference series</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kudenatti, Ramesh B.</au><au>Vanitha, V. R.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Exact and Asymptotic solution of a steady two dimensional boundary layer of a Micropolar fluid flow past a moving wedge</atitle><jtitle>Journal of physics. Conference series</jtitle><addtitle>J. Phys.: Conf. Ser</addtitle><date>2020-07-01</date><risdate>2020</risdate><volume>1597</volume><issue>1</issue><spage>12020</spage><pages>12020-</pages><issn>1742-6588</issn><eissn>1742-6596</eissn><abstract>In this paper, we propose an analytic solution of a boundary value problem which models a steady, laminar, two dimensional, boundary layer flow of an incompressible and viscous micropolar fluid over a moving wedge. 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| subjects | Asymptotic methods Asymptotic solution Boundary layer flow Boundary value problems Computational fluid dynamics Exact solution Exact solutions Fluid flow Incompressible flow Laminar Boundary layer Micropolar fluids Nonlinear differential equations Ordinary differential equations Parameters Partial differential equations Physical properties Physics Similarity transformations Two dimensional boundary layer Two dimensional flow Two dimensional models Velocity distribution Wall shear stresses Wedges |
| title | Exact and Asymptotic solution of a steady two dimensional boundary layer of a Micropolar fluid flow past a moving wedge |
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