The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface
In this study, the effect of thermal radiation on micro-polar fluid flow over a wavy surface is studied. The optically thick limit approximation for the radiation flux is assumed. Prandtl’s transposition theorem is used to stretch the ordinary coordinate system in certain directions. The wavy surfac...
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| Format: | Article |
| Language: | English |
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MDPI AG
2011-09-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/13/9/1595/ |
| _version_ | 1811305622504734720 |
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| author | Kuei-Hao Chang Cha’o-Kuang Chen Yue-Tzu Yang |
| author_facet | Kuei-Hao Chang Cha’o-Kuang Chen Yue-Tzu Yang |
| author_sort | Kuei-Hao Chang |
| collection | DOAJ |
| description | In this study, the effect of thermal radiation on micro-polar fluid flow over a wavy surface is studied. The optically thick limit approximation for the radiation flux is assumed. Prandtl’s transposition theorem is used to stretch the ordinary coordinate system in certain directions. The wavy surface can be transferred into a calculable plane coordinate system. The governing equations of micro-polar fluid along a wavy surface are derived from the complete Navier-Stokes equations. A simple transformation is proposed to transform the governing equations into boundary layer equations so they can be solved numerically by the cubic spline collocation method. A modified form for the entropy generation equation is derived. Effects of thermal radiation on the temperature and the vortex viscosity parameter and the effects of the wavy surface on the velocity are all included in the modified entropy generation equation. |
| first_indexed | 2024-04-13T08:28:37Z |
| format | Article |
| id | doaj.art-0e2ff507532d49a393797bf17b17abac |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-13T08:28:37Z |
| publishDate | 2011-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-0e2ff507532d49a393797bf17b17abac2022-12-22T02:54:19ZengMDPI AGEntropy1099-43002011-09-011391595161010.3390/e13091595The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy SurfaceKuei-Hao ChangCha’o-Kuang ChenYue-Tzu YangIn this study, the effect of thermal radiation on micro-polar fluid flow over a wavy surface is studied. The optically thick limit approximation for the radiation flux is assumed. Prandtl’s transposition theorem is used to stretch the ordinary coordinate system in certain directions. The wavy surface can be transferred into a calculable plane coordinate system. The governing equations of micro-polar fluid along a wavy surface are derived from the complete Navier-Stokes equations. A simple transformation is proposed to transform the governing equations into boundary layer equations so they can be solved numerically by the cubic spline collocation method. A modified form for the entropy generation equation is derived. Effects of thermal radiation on the temperature and the vortex viscosity parameter and the effects of the wavy surface on the velocity are all included in the modified entropy generation equation.http://www.mdpi.com/1099-4300/13/9/1595/entropy generationthermal radiationmicropolar fluidirreversibilityBejan numbersurface wavycubic spline |
| spellingShingle | Kuei-Hao Chang Cha’o-Kuang Chen Yue-Tzu Yang The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface Entropy entropy generation thermal radiation micropolar fluid irreversibility Bejan number surface wavy cubic spline |
| title | The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface |
| title_full | The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface |
| title_fullStr | The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface |
| title_full_unstemmed | The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface |
| title_short | The Effect of Thermal Radiation on Entropy Generation Due to Micro-Polar Fluid Flow Along a Wavy Surface |
| title_sort | effect of thermal radiation on entropy generation due to micro polar fluid flow along a wavy surface |
| topic | entropy generation thermal radiation micropolar fluid irreversibility Bejan number surface wavy cubic spline |
| url | http://www.mdpi.com/1099-4300/13/9/1595/ |
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