Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder
In this article, we study the nonlinear steady thermal convection of an incompressible third-grade non-Newtonian fluid from a horizontal circular cylinder. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-01-01
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| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2018-0078/nleng-2018-0078.xml?format=INT |
| _version_ | 1818888232217083904 |
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| author | Abdul Gaffar S. Ramachandra Prasad V. Ramesh Reddy P. Hidayathulla Khan B.Md. |
| author_facet | Abdul Gaffar S. Ramachandra Prasad V. Ramesh Reddy P. Hidayathulla Khan B.Md. |
| author_sort | Abdul Gaffar S. |
| collection | DOAJ |
| description | In this article, we study the nonlinear steady thermal convection of an incompressible third-grade non-Newtonian fluid from a horizontal circular cylinder. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-differences Keller Box technique. The influence of a number of emerging non-dimensional parameters, namely the third-grade fluid parameter (ϕ), the material fluid parameters (ϵ1, ϵ2), Prandtl number (Pr), Biot number (y), thermal radiation (F) and dimensionless tangential coordinate (ξ) on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation is achieved. It is found that the velocity, skin friction and Nusselt number (heat transfer rate) reduce with increasing third grade fluid parameter (ϕ), whereas the temperature is enhanced. Increasing material fluid parameter (ϵ1) reduces the velocity and heat transfer rate but enhances the temperature and skin friction. The study is relevant to chemical materials processing applications and low density polymer materials processing. |
| first_indexed | 2024-12-19T16:49:51Z |
| format | Article |
| id | doaj.art-8f6faeb1ba83449295387d25b1dc992e |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-19T16:49:51Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-8f6faeb1ba83449295387d25b1dc992e2022-12-21T20:13:34ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018167368710.1515/nleng-2018-0078nleng-2018-0078Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular CylinderAbdul Gaffar S.0Ramachandra Prasad V.1Ramesh Reddy P.2Hidayathulla Khan B.Md.3Department of Information Technology, Mathematics Section, Salalah College of Technology, Salalah, OmanDepartment of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, 6322014, IndiaDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, 517325, IndiaDepartment of Mathematics, Sir Vishveshwaraiah Institute of Science and Technology, Madanapalle, 517325, IndiaIn this article, we study the nonlinear steady thermal convection of an incompressible third-grade non-Newtonian fluid from a horizontal circular cylinder. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-differences Keller Box technique. The influence of a number of emerging non-dimensional parameters, namely the third-grade fluid parameter (ϕ), the material fluid parameters (ϵ1, ϵ2), Prandtl number (Pr), Biot number (y), thermal radiation (F) and dimensionless tangential coordinate (ξ) on velocity and temperature evolution in the boundary layer regime are examined in detail. Furthermore, the effects of these parameters on surface heat transfer rate and local skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation is achieved. It is found that the velocity, skin friction and Nusselt number (heat transfer rate) reduce with increasing third grade fluid parameter (ϕ), whereas the temperature is enhanced. Increasing material fluid parameter (ϵ1) reduces the velocity and heat transfer rate but enhances the temperature and skin friction. The study is relevant to chemical materials processing applications and low density polymer materials processing.http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2018-0078/nleng-2018-0078.xml?format=INTNon-Newtonian Third-grade fluidMaterial fluid parametersThermal RadiationBiot number |
| spellingShingle | Abdul Gaffar S. Ramachandra Prasad V. Ramesh Reddy P. Hidayathulla Khan B.Md. Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder Nonlinear Engineering Non-Newtonian Third-grade fluid Material fluid parameters Thermal Radiation Biot number |
| title | Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder |
| title_full | Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder |
| title_fullStr | Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder |
| title_full_unstemmed | Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder |
| title_short | Radiative Flow of Third Grade Non-Newtonian Fluid From A Horizontal Circular Cylinder |
| title_sort | radiative flow of third grade non newtonian fluid from a horizontal circular cylinder |
| topic | Non-Newtonian Third-grade fluid Material fluid parameters Thermal Radiation Biot number |
| url | http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2018-0078/nleng-2018-0078.xml?format=INT |
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