Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation
In the present paper we examine the effects of viscous dissipation, Joule heating and heat source/sink on non-Darcy MHD natural convection heat transfer flow over permeable horizontal circular cylinder in a porous medium. The boundary layer equations, which are parabolic in nature, are norm...
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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
2014-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841401037P.pdf |
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| author | Prasad Ramachandra V. Rao Subba A. Bég Anwar O. |
| author_facet | Prasad Ramachandra V. Rao Subba A. Bég Anwar O. |
| author_sort | Prasad Ramachandra V. |
| collection | DOAJ |
| description | In the present paper we examine the effects of viscous dissipation, Joule
heating and heat source/sink on non-Darcy MHD natural convection heat
transfer flow over permeable horizontal circular cylinder in a porous medium.
The boundary layer 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. A parametric
study illustrating the influence of Darcy parameter (Da), Forchheimer
parameter (Λ), Grashof number(Gr), heat source/sink parameter (Ω) and
viscous dissipation parameter (Ec) on the fluid velocity, temperature as well
as local skin-friction and Nusselt numbers is conducted Increasing
Forchheimer inertial drag parameter (Λ) retards the flow considerably but
enhances temperatures. Increasing viscous dissipation parameter(Ec) is found
to elevate velocities i.e. accelerate the flow and increase temperatures.
Increasing heat source/sink parameter (Ω) is found to elevate velocities and
increase temperatures. Increasing the Grashof number (Gr) is found to elevate
the velocity and decrease the temperatures. Local skin friction number is
found to be increases with increasing heat source/sink parameter (Ω) where as
Local Nusselt number is found to decrease with increasing heat source/sink
parameter (Ω). |
| first_indexed | 2024-04-13T10:07:24Z |
| format | Article |
| id | doaj.art-52a75240f31b40f1b5333dd5d943413f |
| institution | Directory Open Access Journal |
| issn | 1450-5584 |
| language | English |
| last_indexed | 2024-04-13T10:07:24Z |
| publishDate | 2014-01-01 |
| 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-52a75240f31b40f1b5333dd5d943413f2022-12-22T02:51:03ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842014-01-01411377010.2298/TAM1401037P1450-55841401037PComputational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generationPrasad Ramachandra V.0Rao Subba A.1Bég Anwar O.2Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle, IndiaDepartment of Mathematics, Sri Venkateswara University, Tirupathi, Andrapradesh, IndiaGort Engovation(Propulsion and Biomechanics), Bradford, England, UKIn the present paper we examine the effects of viscous dissipation, Joule heating and heat source/sink on non-Darcy MHD natural convection heat transfer flow over permeable horizontal circular cylinder in a porous medium. The boundary layer 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. A parametric study illustrating the influence of Darcy parameter (Da), Forchheimer parameter (Λ), Grashof number(Gr), heat source/sink parameter (Ω) and viscous dissipation parameter (Ec) on the fluid velocity, temperature as well as local skin-friction and Nusselt numbers is conducted Increasing Forchheimer inertial drag parameter (Λ) retards the flow considerably but enhances temperatures. Increasing viscous dissipation parameter(Ec) is found to elevate velocities i.e. accelerate the flow and increase temperatures. Increasing heat source/sink parameter (Ω) is found to elevate velocities and increase temperatures. Increasing the Grashof number (Gr) is found to elevate the velocity and decrease the temperatures. Local skin friction number is found to be increases with increasing heat source/sink parameter (Ω) where as Local Nusselt number is found to decrease with increasing heat source/sink parameter (Ω).http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841401037P.pdfviscous dissipationjoule heatingKeller-box numerical methodheat transferskin frictionNusselt number |
| spellingShingle | Prasad Ramachandra V. Rao Subba A. Bég Anwar O. Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation Theoretical and Applied Mechanics viscous dissipation joule heating Keller-box numerical method heat transfer skin friction Nusselt number |
| title | Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation |
| title_full | Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation |
| title_fullStr | Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation |
| title_full_unstemmed | Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation |
| title_short | Computational analysis of viscous dissipation and joule-heating effects on non-Darcy MHD natural convection flow from a horizontal cylinder in porous media with internal heat generation |
| title_sort | computational analysis of viscous dissipation and joule heating effects on non darcy mhd natural convection flow from a horizontal cylinder in porous media with internal heat generation |
| topic | viscous dissipation joule heating Keller-box numerical method heat transfer skin friction Nusselt number |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2014/1450-55841401037P.pdf |
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