Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface
The numerical, analytical, theoretical and experimental study of thermal transport is an active field of research due to its enormous applications and use in numerous systems. This report covers the impacts of thermal transport on pseudo-plastic material past over a horizontal, heated and stretched...
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| Format: | Article |
| Language: | English |
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2021-12-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/14/23/8115 |
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| author | Ebrahem A. Algehyne Essam R. El-Zahar Muhammad Sohail Umar Nazir Hussein A. Z. AL-bonsrulah Dhinakaran Veeman Bassem F. Felemban Fahad M. Alharbi |
| author_facet | Ebrahem A. Algehyne Essam R. El-Zahar Muhammad Sohail Umar Nazir Hussein A. Z. AL-bonsrulah Dhinakaran Veeman Bassem F. Felemban Fahad M. Alharbi |
| author_sort | Ebrahem A. Algehyne |
| collection | DOAJ |
| description | The numerical, analytical, theoretical and experimental study of thermal transport is an active field of research due to its enormous applications and use in numerous systems. This report covers the impacts of thermal transport on pseudo-plastic material past over a horizontal, heated and stretched porous sheet. Modeling of energy conservation is based upon a generalized heat flux model along with a heat generation/absorption factor. The modeled phenomenon is derived in the Cartesian coordinate system under the usual boundary-layer approach proposed by Prandtl, which removes the complexity of the problem. The modeled rheology is obtained in the form of coupled, nonlinear PDEs. These derived PDEs are converted into ODEs with the engagement of similarity transformation. Afterwards, converted ODEs containing some emerging parameters have been approximated numerically with a powerful and effective scheme, namely the finite element approach. The obtained results are compared with the published findings as a limiting case of current research, and an excellent agreement in the obtained solution was found, which guarantees the effectiveness of the used methodology. Furthermore, it is recommended that the finite element approach is a good method among other existing methods and can be effectively applied to nonlinear problems arising in the mathematical modeling of different phenomenon. |
| first_indexed | 2024-03-10T04:54:07Z |
| format | Article |
| id | doaj.art-3b62e48a4f7541689cdde925524a5484 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T04:54:07Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-3b62e48a4f7541689cdde925524a54842023-11-23T02:22:53ZengMDPI AGEnergies1996-10732021-12-011423811510.3390/en14238115Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated SurfaceEbrahem A. Algehyne0Essam R. El-Zahar1Muhammad Sohail2Umar Nazir3Hussein A. Z. AL-bonsrulah4Dhinakaran Veeman5Bassem F. Felemban6Fahad M. Alharbi7Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, P.O. Box 83, Al-Kharj 11942, Saudi ArabiaDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanDepartment of Mechanical Engineering, Faculty of Engineering, Kufa University, Najaf 54002, IraqCentre for Computational Mechanics, Chennai Institute of Technology, Chennai 600069, IndiaDepartment of Mechanical Engineering, College of Engineering, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaThe numerical, analytical, theoretical and experimental study of thermal transport is an active field of research due to its enormous applications and use in numerous systems. This report covers the impacts of thermal transport on pseudo-plastic material past over a horizontal, heated and stretched porous sheet. Modeling of energy conservation is based upon a generalized heat flux model along with a heat generation/absorption factor. The modeled phenomenon is derived in the Cartesian coordinate system under the usual boundary-layer approach proposed by Prandtl, which removes the complexity of the problem. The modeled rheology is obtained in the form of coupled, nonlinear PDEs. These derived PDEs are converted into ODEs with the engagement of similarity transformation. Afterwards, converted ODEs containing some emerging parameters have been approximated numerically with a powerful and effective scheme, namely the finite element approach. The obtained results are compared with the published findings as a limiting case of current research, and an excellent agreement in the obtained solution was found, which guarantees the effectiveness of the used methodology. Furthermore, it is recommended that the finite element approach is a good method among other existing methods and can be effectively applied to nonlinear problems arising in the mathematical modeling of different phenomenon.https://www.mdpi.com/1996-1073/14/23/8115pseudo-plastic modelporous heated sheetfinite element methodboundary value problemheat transport coefficienthybrid and tri-hybrid nanoparticles |
| spellingShingle | Ebrahem A. Algehyne Essam R. El-Zahar Muhammad Sohail Umar Nazir Hussein A. Z. AL-bonsrulah Dhinakaran Veeman Bassem F. Felemban Fahad M. Alharbi Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface Energies pseudo-plastic model porous heated sheet finite element method boundary value problem heat transport coefficient hybrid and tri-hybrid nanoparticles |
| title | Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface |
| title_full | Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface |
| title_fullStr | Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface |
| title_full_unstemmed | Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface |
| title_short | Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface |
| title_sort | thermal improvement in pseudo plastic material using ternary hybrid nanoparticles via non fourier s law over porous heated surface |
| topic | pseudo-plastic model porous heated sheet finite element method boundary value problem heat transport coefficient hybrid and tri-hybrid nanoparticles |
| url | https://www.mdpi.com/1996-1073/14/23/8115 |
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