A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel
In order to have a precise knowledge on how pressure gradients and buoyancy force affect fluid flow and energy distribution in a bending channel, it is important to perform a comprehensive study on flow characteristics and heat transfer mechanisms that trigger out the transition of fluids into a tur...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2023-11-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0158615 |
| _version_ | 1797404803582656512 |
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| author | Sreedham Chandra Adhikari Mohammad Sanjeed Hasan Rifat Ara Rouf Giulio Lorenzini Rabindra Nath Mondal |
| author_facet | Sreedham Chandra Adhikari Mohammad Sanjeed Hasan Rifat Ara Rouf Giulio Lorenzini Rabindra Nath Mondal |
| author_sort | Sreedham Chandra Adhikari |
| collection | DOAJ |
| description | In order to have a precise knowledge on how pressure gradients and buoyancy force affect fluid flow and energy distribution in a bending channel, it is important to perform a comprehensive study on flow characteristics and heat transfer mechanisms that trigger out the transition of fluids into a turbulent state, subject to a sustained pressure gradient. The present paper explores a computational modeling on two-dimensional fluid flow and thermal characteristics in a bent square channel of strong curvature. The Newton–Raphson (N-R) iteration method is applied to obtain a bifurcation structure depending on the pressure-driven force, the Dean number (De), covering 0 < De ≤ 5000. As a consequence, four branches of asymmetric steady solutions are identified for each of the cases of the Grashof number, Gn (=1000, 1500, and 2000), where only the first branch is found to exhibit asymmetric two-vortex solutions while the remaining branches encompass two- to four-vortex solutions. The similarity and disparity in the branching structure are also demonstrated. Then, adopting the Adam–Bashforth (A-B) method together with Crank–Nicholson (C-N) formula, the unsteady solutions (US) have been explored, validated by power spectrum density (PSD) and phase space Within the realm of US, two- and three-vortex solutions are found and these solutions exhibit transitions from steady to chaotic behavior profoundly. Effects of the Grashof number with convective heat transfer (CHT) are also compared. By analyzing the Nusselt number (Nu), it is observed that in case of highly chaotic flow, CHT experiences substantial enhancement. This intensified CHT arises from increased turbulence and mixing, facilitating more efficient thermal energy exchange under such chaotic flow conditions. |
| first_indexed | 2024-03-09T03:00:22Z |
| format | Article |
| id | doaj.art-c0e32c3f64d646539e51bbcce9772afe |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-03-09T03:00:22Z |
| publishDate | 2023-11-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-c0e32c3f64d646539e51bbcce9772afe2023-12-04T17:18:28ZengAIP Publishing LLCAIP Advances2158-32262023-11-011311115007115007-1710.1063/5.0158615A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channelSreedham Chandra Adhikari0Mohammad Sanjeed Hasan1Rifat Ara Rouf2Giulio Lorenzini3Rabindra Nath Mondal4Department of Mathematics, Jagannath University, Dhaka 1100, BangladeshDepartment of Mathematics, Bangabandhu Sheikh Mijibur Rahman Science and Technology University, Gopalganj 8100, BangladeshDepartment of Physical Sciences, Independent University, Dhaka, BangladeshDepartment of Engineering and Architecture, University of Parma, Parma, ItalyDepartment of Mathematics, Jagannath University, Dhaka 1100, BangladeshIn order to have a precise knowledge on how pressure gradients and buoyancy force affect fluid flow and energy distribution in a bending channel, it is important to perform a comprehensive study on flow characteristics and heat transfer mechanisms that trigger out the transition of fluids into a turbulent state, subject to a sustained pressure gradient. The present paper explores a computational modeling on two-dimensional fluid flow and thermal characteristics in a bent square channel of strong curvature. The Newton–Raphson (N-R) iteration method is applied to obtain a bifurcation structure depending on the pressure-driven force, the Dean number (De), covering 0 < De ≤ 5000. As a consequence, four branches of asymmetric steady solutions are identified for each of the cases of the Grashof number, Gn (=1000, 1500, and 2000), where only the first branch is found to exhibit asymmetric two-vortex solutions while the remaining branches encompass two- to four-vortex solutions. The similarity and disparity in the branching structure are also demonstrated. Then, adopting the Adam–Bashforth (A-B) method together with Crank–Nicholson (C-N) formula, the unsteady solutions (US) have been explored, validated by power spectrum density (PSD) and phase space Within the realm of US, two- and three-vortex solutions are found and these solutions exhibit transitions from steady to chaotic behavior profoundly. Effects of the Grashof number with convective heat transfer (CHT) are also compared. By analyzing the Nusselt number (Nu), it is observed that in case of highly chaotic flow, CHT experiences substantial enhancement. This intensified CHT arises from increased turbulence and mixing, facilitating more efficient thermal energy exchange under such chaotic flow conditions.http://dx.doi.org/10.1063/5.0158615 |
| spellingShingle | Sreedham Chandra Adhikari Mohammad Sanjeed Hasan Rifat Ara Rouf Giulio Lorenzini Rabindra Nath Mondal A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel AIP Advances |
| title | A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel |
| title_full | A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel |
| title_fullStr | A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel |
| title_full_unstemmed | A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel |
| title_short | A computational modeling on two-dimensional laminar flow and thermal characteristics through a strongly bent square channel |
| title_sort | computational modeling on two dimensional laminar flow and thermal characteristics through a strongly bent square channel |
| url | http://dx.doi.org/10.1063/5.0158615 |
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