Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium
In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat tr...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2013-06-01
|
| Series: | International Journal of Applied Mechanics and Engineering |
| Subjects: | |
| Online Access: | https://www.ijame-poland.com/Effect-of-Viscous-Dissipation-and-Thermal-Radiation-on-Heat-Transfer-over-a-Non-Linearly,167327,0,2.html |
| _version_ | 1827873771445288960 |
|---|---|
| author | M.M. Nandeppanavar M.N. Siddalingappa |
| author_facet | M.M. Nandeppanavar M.N. Siddalingappa |
| author_sort | M.M. Nandeppanavar |
| collection | DOAJ |
| description | In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration scheme with most efficient shooting technique. The graphical results are presented to interpret various physical parameters of interest. It is found that the velocity profile decreases with an increase of the porous parameter asymptotically. The temperature field decreases with an increase in the parametric values of the Prandtl number and thermal radiation while with an increase in parameters of the Eckert number and porous parameter, the temperature field increases in both PST (power law surface temperature) and PHF (power law heat flux) cases. The numerical values of the non-dimensional wall temperature gradient and wall temperature are tabulated and discussed. |
| first_indexed | 2024-03-12T16:41:48Z |
| format | Article |
| id | doaj.art-cc92ab23107c4095b962611427cc45df |
| institution | Directory Open Access Journal |
| issn | 1734-4492 2353-9003 |
| language | English |
| last_indexed | 2024-03-12T16:41:48Z |
| publishDate | 2013-06-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | International Journal of Applied Mechanics and Engineering |
| spelling | doaj.art-cc92ab23107c4095b962611427cc45df2023-08-08T14:27:06ZengUniversity of Zielona GóraInternational Journal of Applied Mechanics and Engineering1734-44922353-90032013-06-0118246147410.2478/ijame-2013-0027167327Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous MediumM.M. Nandeppanavar0M.N. Siddalingappa1Department of PG and UG Studies in Mathematics Government College Gulbarga-585105 Karnataka, INDIADepartment of PG and UG Studies in Mathematics Government College Gulbarga-585105 Karnataka, INDIAIn this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration scheme with most efficient shooting technique. The graphical results are presented to interpret various physical parameters of interest. It is found that the velocity profile decreases with an increase of the porous parameter asymptotically. The temperature field decreases with an increase in the parametric values of the Prandtl number and thermal radiation while with an increase in parameters of the Eckert number and porous parameter, the temperature field increases in both PST (power law surface temperature) and PHF (power law heat flux) cases. The numerical values of the non-dimensional wall temperature gradient and wall temperature are tabulated and discussed.https://www.ijame-poland.com/Effect-of-Viscous-Dissipation-and-Thermal-Radiation-on-Heat-Transfer-over-a-Non-Linearly,167327,0,2.htmlporous mediaviscous dissipationrunge-kutta methodthermal radiationwall temperature gradientwall temperature |
| spellingShingle | M.M. Nandeppanavar M.N. Siddalingappa Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium International Journal of Applied Mechanics and Engineering porous media viscous dissipation runge-kutta method thermal radiation wall temperature gradient wall temperature |
| title | Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium |
| title_full | Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium |
| title_fullStr | Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium |
| title_full_unstemmed | Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium |
| title_short | Effect of Viscous Dissipation and Thermal Radiation on Heat Transfer over a Non-Linearly Stretching Sheet Through Porous Medium |
| title_sort | effect of viscous dissipation and thermal radiation on heat transfer over a non linearly stretching sheet through porous medium |
| topic | porous media viscous dissipation runge-kutta method thermal radiation wall temperature gradient wall temperature |
| url | https://www.ijame-poland.com/Effect-of-Viscous-Dissipation-and-Thermal-Radiation-on-Heat-Transfer-over-a-Non-Linearly,167327,0,2.html |
| work_keys_str_mv | AT mmnandeppanavar effectofviscousdissipationandthermalradiationonheattransferoveranonlinearlystretchingsheetthroughporousmedium AT mnsiddalingappa effectofviscousdissipationandthermalradiationonheattransferoveranonlinearlystretchingsheetthroughporousmedium |