Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip
This article presents the nonlinear free convection boundary layer flow and heat transfer of an incompressible Tangent Hyperbolic non-Newtonian fluid from a vertical porous plate with velocity slip and thermal jump effects. The transformed conservation equations are solved numerically subject to phy...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2016-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=40233&issue_ID=235 |
| _version_ | 1818389517779861504 |
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| author | V. Ramachandra Prasad Shaik Gaffar O. Anwar Beg |
| author_facet | V. Ramachandra Prasad Shaik Gaffar O. Anwar Beg |
| author_sort | V. Ramachandra Prasad |
| collection | DOAJ |
| description | This article presents the nonlinear free convection boundary layer flow and heat transfer of an incompressible Tangent Hyperbolic non-Newtonian fluid from a vertical porous plate with velocity slip and thermal jump effects. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference Keller Box technique. The numerical code is validated with previous studies. The influence of a number of emerging non-dimensional parameters, namely the Weissenberg number (We), the power law index (n), Velocity slip (Sf), Thermal jump (ST), Prandtl number (Pr) and dimensionless tangential coordinate () 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 achieved. It is found that velocity, skin friction and heat transfer rate (Nusselt number) is increased with increasing Weissenberg number (We), whereas the temperature is decreased. Increasing power law index (n) enhances velocity and heat transfer rate but decreases temperature and skin friction. An increase in Thermal jump (ST) is observed to decrease velocity, temperature, local skin friction and Nusselt number. Increasing Velocity slip (Sf) is observed to increase velocity and heat transfer rate but decreases temperature and local skin friction. An increasing Prandtl number, (Pr), is found to decrease both velocity and temperature. The study is relevant to chemical materials processing applications. |
| first_indexed | 2024-12-14T04:43:00Z |
| format | Article |
| id | doaj.art-46f105717edb4bbb9357399bfa27434a |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-14T04:43:00Z |
| publishDate | 2016-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-46f105717edb4bbb9357399bfa27434a2022-12-21T23:16:45ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722016-01-019416671678.Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial SlipV. Ramachandra Prasad0Shaik Gaffar1O. Anwar Beg2Madanapalle Institute of Science and TechnologySalalah College of TechnologySheaf Building, Sheffield Hallam University Sheffield, South Yorkshire, S 1 1 WB, U.KThis article presents the nonlinear free convection boundary layer flow and heat transfer of an incompressible Tangent Hyperbolic non-Newtonian fluid from a vertical porous plate with velocity slip and thermal jump effects. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a second-order accurate implicit finite-difference Keller Box technique. The numerical code is validated with previous studies. The influence of a number of emerging non-dimensional parameters, namely the Weissenberg number (We), the power law index (n), Velocity slip (Sf), Thermal jump (ST), Prandtl number (Pr) and dimensionless tangential coordinate () 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 achieved. It is found that velocity, skin friction and heat transfer rate (Nusselt number) is increased with increasing Weissenberg number (We), whereas the temperature is decreased. Increasing power law index (n) enhances velocity and heat transfer rate but decreases temperature and skin friction. An increase in Thermal jump (ST) is observed to decrease velocity, temperature, local skin friction and Nusselt number. Increasing Velocity slip (Sf) is observed to increase velocity and heat transfer rate but decreases temperature and local skin friction. An increasing Prandtl number, (Pr), is found to decrease both velocity and temperature. The study is relevant to chemical materials processing applications.http://jafmonline.net/JournalArchive/download?file_ID=40233&issue_ID=235Non-newtonian tangent hyperbolic fluid; Boundary layer flow; Weissenberg number; Power law index; Velocity slip; Thermal jump; Skin friction; Nusselt number. |
| spellingShingle | V. Ramachandra Prasad Shaik Gaffar O. Anwar Beg Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip Journal of Applied Fluid Mechanics Non-newtonian tangent hyperbolic fluid; Boundary layer flow; Weissenberg number; Power law index; Velocity slip; Thermal jump; Skin friction; Nusselt number. |
| title | Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip |
| title_full | Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip |
| title_fullStr | Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip |
| title_full_unstemmed | Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip |
| title_short | Free Convection Flow and Heat Transfer of Tangent Hyperbolic past a Vertical Porous Plate with Partial Slip |
| title_sort | free convection flow and heat transfer of tangent hyperbolic past a vertical porous plate with partial slip |
| topic | Non-newtonian tangent hyperbolic fluid; Boundary layer flow; Weissenberg number; Power law index; Velocity slip; Thermal jump; Skin friction; Nusselt number. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=40233&issue_ID=235 |
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