Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method
Squeezing flow has many applications in different fields including chemical, mechanical, and electrical engineering as these flows can be observed in many hydrodynamical tools and machines. Due to importance of squeezing flow, in this paper, an unsteady squeezing flow of a viscous magnetohydrodynami...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/2977026 |
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| author | Mubashir Qayyum Imbsat Oscar |
| author_facet | Mubashir Qayyum Imbsat Oscar |
| author_sort | Mubashir Qayyum |
| collection | DOAJ |
| description | Squeezing flow has many applications in different fields including chemical, mechanical, and electrical engineering as these flows can be observed in many hydrodynamical tools and machines. Due to importance of squeezing flow, in this paper, an unsteady squeezing flow of a viscous magnetohydrodynamic (MHD) fluid which is passing through porous medium has been modeled and analyzed with and without slip effects at the boundaries. The least squares homotopy perturbation method (LSHPM) has been proposed to determine the solutions of nonlinear boundary value problems. To check the validity and convergence of the proposed scheme (LSHPM), the modeled problems are also solved with the Fehlberg–Runge–Kutta method (RKF45) and homotopy perturbation method (HPM) and residual errors are compared with LSHPM. To the best of the authors’ knowledge, the current problems have not been attempted before with LSHPM. Moreover, the impact of different fluid parameters on the velocity profile has been examined graphically in slip and no-slip cases. Analysis shows that the Reynolds number, MHD parameter, and porosity parameter have opposite effects in case of slip and no slip at the boundaries. It is also observed that nonzero slip parameter accelerates the velocity profile near the boundaries. Analysis also reveals that LSHPM provides better results in terms of accuracy as compared to HPM and RKF45 and can be effectively used for the fluid flow problems. |
| format | Article |
| id | doaj-art-5c5b5fe22bac4cfea8cb2ff996ffa8ba |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-5c5b5fe22bac4cfea8cb2ff996ffa8ba2025-02-03T01:25:09ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/29770262977026Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation MethodMubashir Qayyum0Imbsat Oscar1FAST National University of Computer and Emerging Sciences Lahore, Lahore, PakistanFAST National University of Computer and Emerging Sciences Lahore, Lahore, PakistanSqueezing flow has many applications in different fields including chemical, mechanical, and electrical engineering as these flows can be observed in many hydrodynamical tools and machines. Due to importance of squeezing flow, in this paper, an unsteady squeezing flow of a viscous magnetohydrodynamic (MHD) fluid which is passing through porous medium has been modeled and analyzed with and without slip effects at the boundaries. The least squares homotopy perturbation method (LSHPM) has been proposed to determine the solutions of nonlinear boundary value problems. To check the validity and convergence of the proposed scheme (LSHPM), the modeled problems are also solved with the Fehlberg–Runge–Kutta method (RKF45) and homotopy perturbation method (HPM) and residual errors are compared with LSHPM. To the best of the authors’ knowledge, the current problems have not been attempted before with LSHPM. Moreover, the impact of different fluid parameters on the velocity profile has been examined graphically in slip and no-slip cases. Analysis shows that the Reynolds number, MHD parameter, and porosity parameter have opposite effects in case of slip and no slip at the boundaries. It is also observed that nonzero slip parameter accelerates the velocity profile near the boundaries. Analysis also reveals that LSHPM provides better results in terms of accuracy as compared to HPM and RKF45 and can be effectively used for the fluid flow problems.http://dx.doi.org/10.1155/2021/2977026 |
| spellingShingle | Mubashir Qayyum Imbsat Oscar Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method Journal of Mathematics |
| title | Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method |
| title_full | Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method |
| title_fullStr | Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method |
| title_full_unstemmed | Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method |
| title_short | Exploration of Unsteady Squeezing Flow through Least Squares Homotopy Perturbation Method |
| title_sort | exploration of unsteady squeezing flow through least squares homotopy perturbation method |
| url | http://dx.doi.org/10.1155/2021/2977026 |
| work_keys_str_mv | AT mubashirqayyum explorationofunsteadysqueezingflowthroughleastsquareshomotopyperturbationmethod AT imbsatoscar explorationofunsteadysqueezingflowthroughleastsquareshomotopyperturbationmethod |