A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity
The study presents an axisymmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer over a stretching cylinder embedded in a porous medium. A suitable similarity transformation is employed to transform the partial differential equations corresponding to the momentum a...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/576453 |
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| _version_ | 1832566909108748288 |
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| author | S. Shateyi G. T. Marewo |
| author_facet | S. Shateyi G. T. Marewo |
| author_sort | S. Shateyi |
| collection | DOAJ |
| description | The study presents an axisymmetric laminar boundary layer flow of a viscous
incompressible fluid and heat transfer over a stretching cylinder embedded in a
porous medium. A suitable similarity transformation is employed to transform
the partial differential equations corresponding to the momentum and heat
equations into nonlinear ordinary differential equations. The resultant
ordinary differential equations are then solved using a successive relaxation
method (SRM). The effects of significant parameters on the velocity and temperature
profiles have been analyzed graphically. The obtained results are also compared
with previously published results in some special cases and were found to be
in excellent agreement. The skin friction as well as the heat transfer rate at
the surface are increased as the values of the curvature parameter increase. |
| format | Article |
| id | doaj-art-973e950a68e64d259849384215a586ab |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-973e950a68e64d259849384215a586ab2025-02-03T01:02:46ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/576453576453A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal ConductivityS. Shateyi0G. T. Marewo1Department of Mathematics, University of Venda, Private Bag X5050, Thohoyandou 0950, South AfricaDepartment of Mathematics, University of Swaziland, Private Bag 4, Kwaluseni M201, SwitzerlandThe study presents an axisymmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer over a stretching cylinder embedded in a porous medium. A suitable similarity transformation is employed to transform the partial differential equations corresponding to the momentum and heat equations into nonlinear ordinary differential equations. The resultant ordinary differential equations are then solved using a successive relaxation method (SRM). The effects of significant parameters on the velocity and temperature profiles have been analyzed graphically. The obtained results are also compared with previously published results in some special cases and were found to be in excellent agreement. The skin friction as well as the heat transfer rate at the surface are increased as the values of the curvature parameter increase.http://dx.doi.org/10.1155/2013/576453 |
| spellingShingle | S. Shateyi G. T. Marewo A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a Porous Medium with Variable Thermal Conductivity Journal of Applied Mathematics |
| title | A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a
Porous Medium with Variable Thermal Conductivity |
| title_full | A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a
Porous Medium with Variable Thermal Conductivity |
| title_fullStr | A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a
Porous Medium with Variable Thermal Conductivity |
| title_full_unstemmed | A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a
Porous Medium with Variable Thermal Conductivity |
| title_short | A New Numerical Approach for the Laminar Boundary Layer Flow and Heat Transfer along a Stretching Cylinder Embedded in a
Porous Medium with Variable Thermal Conductivity |
| title_sort | new numerical approach for the laminar boundary layer flow and heat transfer along a stretching cylinder embedded in a porous medium with variable thermal conductivity |
| url | http://dx.doi.org/10.1155/2013/576453 |
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