Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium
The flow and heat transfer of Casson fluid from a permeable isothermal sphere in the presence of slip condition in a non-Darcy porous medium is analyzed. The sphere surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are...
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2013-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2013/1450-55841304469P.pdf |
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| author | Prasad Ramachandra V. Rao Subba A. Reddy Bhaskar N. Bég Anwar O. |
| author_facet | Prasad Ramachandra V. Rao Subba A. Reddy Bhaskar N. Bég Anwar O. |
| author_sort | Prasad Ramachandra V. |
| collection | DOAJ |
| description | The flow and heat transfer of Casson fluid from a permeable isothermal sphere
in the presence of slip condition in a non-Darcy porous medium is analyzed.
The sphere surface is maintained at a constant temperature. The boundary
layer conservation equations, which are parabolic in nature, are normalized
into non-similar form and then solved numerically with the well-tested,
efficient, implicit, stable Keller-box finite-difference scheme. Increasing
the velocity slip parameter is found to decrease the velocity and boundary
layer thickness and increases the temperature and the boundary layer
thickness. The velocity decreases with the increase the non-Darcy parameter
and is found to increase the temperature. The velocity increases with the
increase the Casson fluid parameter and is found to decrease the
temperature. The Skin-friction coefficient and the local Nusselt number is
found to decrease with the increase in velocity and thermal slip parameters
respectively. |
| first_indexed | 2024-12-23T20:30:29Z |
| format | Article |
| id | doaj.art-986b8cf803414fc99d8c3192fabc5876 |
| institution | Directory Open Access Journal |
| issn | 1450-5584 |
| language | English |
| last_indexed | 2024-12-23T20:30:29Z |
| publishDate | 2013-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj.art-986b8cf803414fc99d8c3192fabc58762022-12-21T17:32:15ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842013-01-0140446951010.2298/TAM1304469P1450-55841304469PModelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous mediumPrasad Ramachandra V.0Rao Subba A.1Reddy Bhaskar N.2Bég Anwar O.3Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, IndiaDepartment of Mathematics, Sri Venkateswara University, Tirupathi, IndiaDepartment of Mathematics, Sri Venkateswara University, Tirupathi, IndiaGort Engovation (Propulsion and Biomechanics Research), Bradford, UKThe flow and heat transfer of Casson fluid from a permeable isothermal sphere in the presence of slip condition in a non-Darcy porous medium is analyzed. The sphere surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite-difference scheme. Increasing the velocity slip parameter is found to decrease the velocity and boundary layer thickness and increases the temperature and the boundary layer thickness. The velocity decreases with the increase the non-Darcy parameter and is found to increase the temperature. The velocity increases with the increase the Casson fluid parameter and is found to decrease the temperature. The Skin-friction coefficient and the local Nusselt number is found to decrease with the increase in velocity and thermal slip parameters respectively.http://www.doiserbia.nb.rs/img/doi/1450-5584/2013/1450-55841304469P.pdfnon-Newtonian fluid mechanicsCasson modelyield stressslip conditionKeller-Box numerical methodheat transferskin frictionNusselt numberboundary layersisothermal sphere |
| spellingShingle | Prasad Ramachandra V. Rao Subba A. Reddy Bhaskar N. Bég Anwar O. Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium Theoretical and Applied Mechanics non-Newtonian fluid mechanics Casson model yield stress slip condition Keller-Box numerical method heat transfer skin friction Nusselt number boundary layers isothermal sphere |
| title | Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium |
| title_full | Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium |
| title_fullStr | Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium |
| title_full_unstemmed | Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium |
| title_short | Modelling laminar transport phenomena in a Casson rheological fluid from an isothermal sphere with partial slip in a non-Darcy porous medium |
| title_sort | modelling laminar transport phenomena in a casson rheological fluid from an isothermal sphere with partial slip in a non darcy porous medium |
| topic | non-Newtonian fluid mechanics Casson model yield stress slip condition Keller-Box numerical method heat transfer skin friction Nusselt number boundary layers isothermal sphere |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2013/1450-55841304469P.pdf |
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