Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates
This article presents a scheme for the analysis of an unsteady axisymmetric flow of incompressible Newtonian material in the form of liquid squeezed between two circular plates. The scheme combines traditional perturbation technique with homotopy using an adaptation of the Laplace Transform. The pro...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2017/5703291 |
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| _version_ | 1849685114846445568 |
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| author | Omar Khan Mubashir Qayyum Hamid Khan Murtaza Ali |
| author_facet | Omar Khan Mubashir Qayyum Hamid Khan Murtaza Ali |
| author_sort | Omar Khan |
| collection | DOAJ |
| description | This article presents a scheme for the analysis of an unsteady axisymmetric flow of incompressible Newtonian material in the form of liquid squeezed between two circular plates. The scheme combines traditional perturbation technique with homotopy using an adaptation of the Laplace Transform. The proposed method is tested against other schemes such as the Regular Perturbation Method (RPM), Homotopy Perturbation Method (HPM), Optimal Homotopy Asymptotic Method (OHAM), and the fourth-order Explicit Runge-Kutta Method (ERK4). Comparison of the solutions along with absolute residual errors confirms that the proposed scheme surpasses HPM, OHAM, RPM, and ERK4 in terms of accuracy. The article also investigates the effect of Reynolds number on the velocity profile and pressure variation graphically. |
| format | Article |
| id | doaj-art-c288cc425f2e4e498bb7f997781b3300 |
| institution | DOAJ |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-c288cc425f2e4e498bb7f997781b33002025-08-20T03:23:15ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422017-01-01201710.1155/2017/57032915703291Improved Analysis for Squeezing of Newtonian Material between Two Circular PlatesOmar Khan0Mubashir Qayyum1Hamid Khan2Murtaza Ali3Department of Computer Science, National University of Computer & Emerging Sciences, Peshawar, PakistanDepartment of Mathematics, National University of Computer & Emerging Sciences, Peshawar, PakistanDepartment of Mathematics, National University of Computer & Emerging Sciences, Peshawar, PakistanDepartment of Mathematics, University of Engineering & Technology, Mardan, PakistanThis article presents a scheme for the analysis of an unsteady axisymmetric flow of incompressible Newtonian material in the form of liquid squeezed between two circular plates. The scheme combines traditional perturbation technique with homotopy using an adaptation of the Laplace Transform. The proposed method is tested against other schemes such as the Regular Perturbation Method (RPM), Homotopy Perturbation Method (HPM), Optimal Homotopy Asymptotic Method (OHAM), and the fourth-order Explicit Runge-Kutta Method (ERK4). Comparison of the solutions along with absolute residual errors confirms that the proposed scheme surpasses HPM, OHAM, RPM, and ERK4 in terms of accuracy. The article also investigates the effect of Reynolds number on the velocity profile and pressure variation graphically.http://dx.doi.org/10.1155/2017/5703291 |
| spellingShingle | Omar Khan Mubashir Qayyum Hamid Khan Murtaza Ali Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates Advances in Materials Science and Engineering |
| title | Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates |
| title_full | Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates |
| title_fullStr | Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates |
| title_full_unstemmed | Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates |
| title_short | Improved Analysis for Squeezing of Newtonian Material between Two Circular Plates |
| title_sort | improved analysis for squeezing of newtonian material between two circular plates |
| url | http://dx.doi.org/10.1155/2017/5703291 |
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