Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis
Investigation of hydrothermal characteristics and entropy produced by change in diameter of circular cylinder positioned at the center of trapezoidal enclosure with undulated upper wall is conducted. Natural convection phenomenon is considered along with physical aspects of inclining magnetic field...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723010604 |
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| author | Noor Zeb Khan Sardar Bilal Arshad Riaz Taseer Muhammad |
| author_facet | Noor Zeb Khan Sardar Bilal Arshad Riaz Taseer Muhammad |
| author_sort | Noor Zeb Khan |
| collection | DOAJ |
| description | Investigation of hydrothermal characteristics and entropy produced by change in diameter of circular cylinder positioned at the center of trapezoidal enclosure with undulated upper wall is conducted. Natural convection phenomenon is considered along with physical aspects of inclining magnetic field and permeable medium. Envisioning all these factors combined no such study is available which makes current problem novel. So, the premier intends to commence this artifact is to fill the existing gap by comprehensively disclosing the influence of governing transport parameters attained after mathematical modeling in dimensionless format. Entropy phenomenon is analyzed by estimating total entropy and average Bejan number. The numerical solution of modeled mathematical framework is attained by utilizing finite element based open-source software renowned as COMSOL. Wide range of flow concerning parameters are considered for instance, diameter of cylinder (0.10≤D1≤0.20), Prandtl number (0.015≤Pr≤7.00), Rayleigh number (103≤Ra≤105), Darcy number (10-5≤Da≤10-3) and Hartmann number (0≤Ha≤10) while, remaining parameters like angle of inclination (γ) and irreversibility ratio (ω) are fixed at 45° and 10-2 respectively. The influence of these parameters on distributions is interpreted by displaying streamlines and isotherms. After scrutinization of outcomes, it is deduced that average Nusselt number, total entropy and average Bejan number enhances up to 3.49 %, 1.86 % and 2.70 % respectively for situation when diameter of cylinder is increased from 0.10 to 0.20. Furthermore, 28.35 %, 43.06 % and 59.55 % decrement in previously stated quantities is revealed in comparative manner for hydrodynamic (Ha =0) and hydromagnetic (Ha ≠0) cases. |
| first_indexed | 2024-03-08T12:52:10Z |
| format | Article |
| id | doaj.art-381a34e208f24007a03f1c0dcbdba522 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-08T12:52:10Z |
| publishDate | 2024-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-381a34e208f24007a03f1c0dcbdba5222024-01-20T04:45:11ZengElsevierResults in Physics2211-37972024-01-0156107267Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysisNoor Zeb Khan0Sardar Bilal1Arshad Riaz2Taseer Muhammad3Department of Mathematics, Air University, P.A.F Complex E-9, Islamabad 44000, PakistanDepartment of Mathematics, Air University, P.A.F Complex E-9, Islamabad 44000, Pakistan; School of Mathematics and Statistics, Central South University, Changsha 410083, PR China; Corresponding authors.Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54770, Pakistan; Corresponding authors.Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi ArabiaInvestigation of hydrothermal characteristics and entropy produced by change in diameter of circular cylinder positioned at the center of trapezoidal enclosure with undulated upper wall is conducted. Natural convection phenomenon is considered along with physical aspects of inclining magnetic field and permeable medium. Envisioning all these factors combined no such study is available which makes current problem novel. So, the premier intends to commence this artifact is to fill the existing gap by comprehensively disclosing the influence of governing transport parameters attained after mathematical modeling in dimensionless format. Entropy phenomenon is analyzed by estimating total entropy and average Bejan number. The numerical solution of modeled mathematical framework is attained by utilizing finite element based open-source software renowned as COMSOL. Wide range of flow concerning parameters are considered for instance, diameter of cylinder (0.10≤D1≤0.20), Prandtl number (0.015≤Pr≤7.00), Rayleigh number (103≤Ra≤105), Darcy number (10-5≤Da≤10-3) and Hartmann number (0≤Ha≤10) while, remaining parameters like angle of inclination (γ) and irreversibility ratio (ω) are fixed at 45° and 10-2 respectively. The influence of these parameters on distributions is interpreted by displaying streamlines and isotherms. After scrutinization of outcomes, it is deduced that average Nusselt number, total entropy and average Bejan number enhances up to 3.49 %, 1.86 % and 2.70 % respectively for situation when diameter of cylinder is increased from 0.10 to 0.20. Furthermore, 28.35 %, 43.06 % and 59.55 % decrement in previously stated quantities is revealed in comparative manner for hydrodynamic (Ha =0) and hydromagnetic (Ha ≠0) cases.http://www.sciencedirect.com/science/article/pii/S2211379723010604Heated circular cylinderPermeabilityMHDEntropy generationWavy trapezoidal cavityFEM |
| spellingShingle | Noor Zeb Khan Sardar Bilal Arshad Riaz Taseer Muhammad Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis Results in Physics Heated circular cylinder Permeability MHD Entropy generation Wavy trapezoidal cavity FEM |
| title | Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis |
| title_full | Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis |
| title_fullStr | Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis |
| title_full_unstemmed | Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis |
| title_short | Coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity: Finite element analysis |
| title_sort | coupled effects of variable permeability and adiabatic undulating walls on natural convective flow in a trapezoidal cavity finite element analysis |
| topic | Heated circular cylinder Permeability MHD Entropy generation Wavy trapezoidal cavity FEM |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723010604 |
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