Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis
The present effort is the low Reynolds finite element hybrid meshed solution to apprehend the flow field properties in a convergent-divergent (CD) domain having engineering standpoints applications. To be more specific, we have considered the CD domain rooted with two types of obstructions in three...
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023444?viewType=HTML |
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| author | Khalil Ur Rehman Wasfi Shatanawi Kamal Abodayeh Taqi A.M. Shatnawi |
| author_facet | Khalil Ur Rehman Wasfi Shatanawi Kamal Abodayeh Taqi A.M. Shatnawi |
| author_sort | Khalil Ur Rehman |
| collection | DOAJ |
| description | The present effort is the low Reynolds finite element hybrid meshed solution to apprehend the flow field properties in a convergent-divergent (CD) domain having engineering standpoints applications. To be more specific, we have considered the CD domain rooted with two types of obstructions in three various arrangements namely triangular/triangular, circular/triangular, and triangular/circular in CD throat. The viscous fluid is introduced from the inlet and interacts with installed obstacles. The moving stream in the channel is modelled mathematically in terms of the two-dimensional time-independent equations. The finite element approach is used to disclose numerical solutions by means of a hybrid meshing scheme. Optimized drag and lift force values encountered by an obstruction are offered through line integration across the external obstruction surfaces. In comparison to obstruction in left vicinity, the lift force faced by the triangle obstacle on the right side of the CD throat is larger. Furthermore, as compared to the drag force faced by the triangular obstruction in the same proximity, the circular obstacle experienced greater values as a drag. The lifting force sensed by the triangular cylinder is larger than circular cylinders. The assessment of marine hydrodynamic forces and stability individualities for fully or partially submerged objects in ocean engineering will benefit from the results of this study. |
| first_indexed | 2024-04-10T06:23:13Z |
| format | Article |
| id | doaj.art-c7b857e91c1246bd8178d6148296bb39 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T06:23:13Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c7b857e91c1246bd8178d6148296bb392023-03-02T01:13:25ZengAIMS PressAIMS Mathematics2473-69882023-02-01848847886610.3934/math.2023444Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysisKhalil Ur Rehman0Wasfi Shatanawi 1Kamal Abodayeh2Taqi A.M. Shatnawi 31. Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia 2. Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, Pakistan1. Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia3. Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, Jordan1. Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia3. Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa 13133, JordanThe present effort is the low Reynolds finite element hybrid meshed solution to apprehend the flow field properties in a convergent-divergent (CD) domain having engineering standpoints applications. To be more specific, we have considered the CD domain rooted with two types of obstructions in three various arrangements namely triangular/triangular, circular/triangular, and triangular/circular in CD throat. The viscous fluid is introduced from the inlet and interacts with installed obstacles. The moving stream in the channel is modelled mathematically in terms of the two-dimensional time-independent equations. The finite element approach is used to disclose numerical solutions by means of a hybrid meshing scheme. Optimized drag and lift force values encountered by an obstruction are offered through line integration across the external obstruction surfaces. In comparison to obstruction in left vicinity, the lift force faced by the triangle obstacle on the right side of the CD throat is larger. Furthermore, as compared to the drag force faced by the triangular obstruction in the same proximity, the circular obstacle experienced greater values as a drag. The lifting force sensed by the triangular cylinder is larger than circular cylinders. The assessment of marine hydrodynamic forces and stability individualities for fully or partially submerged objects in ocean engineering will benefit from the results of this study.https://www.aimspress.com/article/doi/10.3934/math.2023444?viewType=HTMLfractional distancehydrodynamic forcesnonlinear pdesnewtonian modeltriangular/circular obstructionscd domainhybrid meshing |
| spellingShingle | Khalil Ur Rehman Wasfi Shatanawi Kamal Abodayeh Taqi A.M. Shatnawi Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis AIMS Mathematics fractional distance hydrodynamic forces nonlinear pdes newtonian model triangular/circular obstructions cd domain hybrid meshing |
| title | Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis |
| title_full | Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis |
| title_fullStr | Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis |
| title_full_unstemmed | Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis |
| title_short | Parabolic transport measurement of hydrodynamic forces for flow around circular/triangular distance dependent obstructions: Finite element analysis |
| title_sort | parabolic transport measurement of hydrodynamic forces for flow around circular triangular distance dependent obstructions finite element analysis |
| topic | fractional distance hydrodynamic forces nonlinear pdes newtonian model triangular/circular obstructions cd domain hybrid meshing |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023444?viewType=HTML |
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