A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem
This work investigates the two-dimensional laminar flow of fluid between two moving porous walls, a key problem in fluid mechanics with implications in filtration, chemical engineering, and biomedical devices. The difficulty resides in precisely and effectively solving the governing nonlinear differ...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | International Journal of Thermofluids |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202724004579 |
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| author | Atallah El-shenawy Mohamed El-Gamel Muhammad E. Anany |
| author_facet | Atallah El-shenawy Mohamed El-Gamel Muhammad E. Anany |
| author_sort | Atallah El-shenawy |
| collection | DOAJ |
| description | This work investigates the two-dimensional laminar flow of fluid between two moving porous walls, a key problem in fluid mechanics with implications in filtration, chemical engineering, and biomedical devices. The difficulty resides in precisely and effectively solving the governing nonlinear differential equations that characterize such flows. We propose a unique Bessel–Newton algorithm that utilizes the Bessel operational matrices collocation method for discretizing the equations and employs a Newton iterative strategy to resolve the resulting nonlinear system. This integrated approach guarantees swift convergence and superior computing efficiency. The principal findings indicate that the suggested method attains enhanced accuracy, with errors diminished by multiple orders of magnitude relative to current numerical techniques, across various flow parameters including Reynolds number and wall dilation rate. The convergence study and error bounds confirm the method’s resilience. The study indicates that the Bessel–Newton algorithm is a robust and dependable tool for modeling fluid flow in porous media, surpassing existing methods in both accuracy and efficiency. This study is novel due to its application of Bessel functions to address intricate boundary conditions and its capacity to attain high accuracy with reduced computer resources, hence advancing numerical approaches in fluid mechanics. |
| format | Article |
| id | doaj-art-a493bfd71ff14061ab58bf642fd97b65 |
| institution | Kabale University |
| issn | 2666-2027 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-a493bfd71ff14061ab58bf642fd97b652025-01-08T04:53:37ZengElsevierInternational Journal of Thermofluids2666-20272025-01-0125101018A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problemAtallah El-shenawy0Mohamed El-Gamel1Muhammad E. Anany2Department of mathematics and engineering physics, Faculty of engineering, Mansoura university, Mansoura, Egypt; Department of Mathematics, Faculty of science, New Mansoura University, Egypt; Corresponding author at: Department of mathematics and engineering physics, Faculty of engineering, Mansoura university, Mansoura, Egypt.Department of mathematics and engineering physics, Faculty of engineering, Mansoura university, Mansoura, EgyptDepartment of mathematics and engineering physics, Faculty of engineering, Mansoura university, Mansoura, EgyptThis work investigates the two-dimensional laminar flow of fluid between two moving porous walls, a key problem in fluid mechanics with implications in filtration, chemical engineering, and biomedical devices. The difficulty resides in precisely and effectively solving the governing nonlinear differential equations that characterize such flows. We propose a unique Bessel–Newton algorithm that utilizes the Bessel operational matrices collocation method for discretizing the equations and employs a Newton iterative strategy to resolve the resulting nonlinear system. This integrated approach guarantees swift convergence and superior computing efficiency. The principal findings indicate that the suggested method attains enhanced accuracy, with errors diminished by multiple orders of magnitude relative to current numerical techniques, across various flow parameters including Reynolds number and wall dilation rate. The convergence study and error bounds confirm the method’s resilience. The study indicates that the Bessel–Newton algorithm is a robust and dependable tool for modeling fluid flow in porous media, surpassing existing methods in both accuracy and efficiency. This study is novel due to its application of Bessel functions to address intricate boundary conditions and its capacity to attain high accuracy with reduced computer resources, hence advancing numerical approaches in fluid mechanics.http://www.sciencedirect.com/science/article/pii/S2666202724004579Laminar flowChannel with porous wallsFluid dynamicsReynolds numberNonlinear systemsBoundary value problems |
| spellingShingle | Atallah El-shenawy Mohamed El-Gamel Muhammad E. Anany A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem International Journal of Thermofluids Laminar flow Channel with porous walls Fluid dynamics Reynolds number Nonlinear systems Boundary value problems |
| title | A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem |
| title_full | A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem |
| title_fullStr | A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem |
| title_full_unstemmed | A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem |
| title_short | A novel Bessel–Newton algorithm for the simulation of 2D laminar flow between two moving porous walls problem |
| title_sort | novel bessel newton algorithm for the simulation of 2d laminar flow between two moving porous walls problem |
| topic | Laminar flow Channel with porous walls Fluid dynamics Reynolds number Nonlinear systems Boundary value problems |
| url | http://www.sciencedirect.com/science/article/pii/S2666202724004579 |
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