Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat
Installing obstructions in the path of the flowing stream in a Convergent-Divergent channel results in complex Reynolds Navier-Stokes (NS)-equations and an exact solution in this direction is not feasible. The current work is a notable attempt in this direction, reporting the evaluation of hydrodyna...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2021-05-01
|
| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S221137972100293X |
| _version_ | 1818670006568747008 |
|---|---|
| author | Khalil Ur Rehman Qasem M Al-Mdallal El-Sayed M. Sherif Harri Junaedi Yu-Pei Lv |
| author_facet | Khalil Ur Rehman Qasem M Al-Mdallal El-Sayed M. Sherif Harri Junaedi Yu-Pei Lv |
| author_sort | Khalil Ur Rehman |
| collection | DOAJ |
| description | Installing obstructions in the path of the flowing stream in a Convergent-Divergent channel results in complex Reynolds Navier-Stokes (NS)-equations and an exact solution in this direction is not feasible. The current work is a notable attempt in this direction, reporting the evaluation of hydrodynamic forces faced by case-wise installation of infinite cylinders as obstacles to a continuous fluid stream. To be more specific, Newtonian fluid is initiated from inlet with bound of parabolic profile. The outlet of CD channel is carried with Neumann condition. The optimized path of installation of obstacle includes: (i) Two circular shaped cylinders are installed in left and right vicinity of CD throat (ii) Circular cylinder in right vicinity of CD throat is optimized with square cylinder (iii) Circular cylinder in left vicinity of CD throat is optimized with square cylinder. The flow field is mathematically modelled in terms of steady Reynolds NS-equations. The comparative solution is reported by using finite element method along rectangular and triangular elements as a hybrid meshing scheme. The obtained outcomes are shared by means of contour and line graphs. Optimized values of hydrodynamic forces subject to installed obstacles in convergent-divergent channel are reported by doing line integration around the outer surfaces of obstructions. It is observed that in each case, the obstructions in left vicinity of CD throat admits inciting values of drag coefficient as compared to obstruction rooted in right vicinity of CD throat. |
| first_indexed | 2024-12-17T07:01:15Z |
| format | Article |
| id | doaj.art-9f0e187631b74e59ad8f8965949238fe |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-17T07:01:15Z |
| publishDate | 2021-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-9f0e187631b74e59ad8f8965949238fe2022-12-21T21:59:16ZengElsevierResults in Physics2211-37972021-05-0124104141Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throatKhalil Ur Rehman0Qasem M Al-Mdallal1El-Sayed M. Sherif2Harri Junaedi3Yu-Pei Lv4Department of Mathematics, Air University, PAF Complex E-9, Islamabad 44000, PakistanDepartment of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, United Arab EmiratesCenter of Excellence for Research in Engineering Materials (CEREM), King Saud University, P.O. Box 800, Al-Riyadh 11421, Saudi ArabiaMechanical Engineering Department, College of Engineering, King Saud University, P.O. Box 800, Al-Riyadh 11421, Saudi ArabiaDepartment of Mathematics, Huzhou University, Huzhou 313000, PR China; Corresponding author.Installing obstructions in the path of the flowing stream in a Convergent-Divergent channel results in complex Reynolds Navier-Stokes (NS)-equations and an exact solution in this direction is not feasible. The current work is a notable attempt in this direction, reporting the evaluation of hydrodynamic forces faced by case-wise installation of infinite cylinders as obstacles to a continuous fluid stream. To be more specific, Newtonian fluid is initiated from inlet with bound of parabolic profile. The outlet of CD channel is carried with Neumann condition. The optimized path of installation of obstacle includes: (i) Two circular shaped cylinders are installed in left and right vicinity of CD throat (ii) Circular cylinder in right vicinity of CD throat is optimized with square cylinder (iii) Circular cylinder in left vicinity of CD throat is optimized with square cylinder. The flow field is mathematically modelled in terms of steady Reynolds NS-equations. The comparative solution is reported by using finite element method along rectangular and triangular elements as a hybrid meshing scheme. The obtained outcomes are shared by means of contour and line graphs. Optimized values of hydrodynamic forces subject to installed obstacles in convergent-divergent channel are reported by doing line integration around the outer surfaces of obstructions. It is observed that in each case, the obstructions in left vicinity of CD throat admits inciting values of drag coefficient as compared to obstruction rooted in right vicinity of CD throat.http://www.sciencedirect.com/science/article/pii/S221137972100293XConvergent-divergentChannelCircular/square obstructionsNewtonian streamDrag and lift forcesHybrid meshing |
| spellingShingle | Khalil Ur Rehman Qasem M Al-Mdallal El-Sayed M. Sherif Harri Junaedi Yu-Pei Lv Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat Results in Physics Convergent-divergent Channel Circular/square obstructions Newtonian stream Drag and lift forces Hybrid meshing |
| title | Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat |
| title_full | Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat |
| title_fullStr | Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat |
| title_full_unstemmed | Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat |
| title_short | Numerical study of low Reynolds hybrid discretized convergent-divergent (CD) channel rooted with obstructions in left/right vicinity of CD throat |
| title_sort | numerical study of low reynolds hybrid discretized convergent divergent cd channel rooted with obstructions in left right vicinity of cd throat |
| topic | Convergent-divergent Channel Circular/square obstructions Newtonian stream Drag and lift forces Hybrid meshing |
| url | http://www.sciencedirect.com/science/article/pii/S221137972100293X |
| work_keys_str_mv | AT khalilurrehman numericalstudyoflowreynoldshybriddiscretizedconvergentdivergentcdchannelrootedwithobstructionsinleftrightvicinityofcdthroat AT qasemmalmdallal numericalstudyoflowreynoldshybriddiscretizedconvergentdivergentcdchannelrootedwithobstructionsinleftrightvicinityofcdthroat AT elsayedmsherif numericalstudyoflowreynoldshybriddiscretizedconvergentdivergentcdchannelrootedwithobstructionsinleftrightvicinityofcdthroat AT harrijunaedi numericalstudyoflowreynoldshybriddiscretizedconvergentdivergentcdchannelrootedwithobstructionsinleftrightvicinityofcdthroat AT yupeilv numericalstudyoflowreynoldshybriddiscretizedconvergentdivergentcdchannelrootedwithobstructionsinleftrightvicinityofcdthroat |