Mixed convective thermal transport in a lid-driven square enclosure with square obstacle
The prime motive of this disquisition is to scrutinize simultaneous aspects of external forcing mechanism and internal volumetric forces on non-Newtonian liquid filled in square enclosure. Inertially driven upper lid is assumed by providing constant magnitude of slip velocity whereas thermal equilib...
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| Format: | Article |
| Language: | English |
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Elsevier
2023-02-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822005610 |
| _version_ | 1828071410514264064 |
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| author | Noor Zeb Khan Rashid Mahmood Sardar Bilal Ali Akgül Sherzod Abdullaev Emad E. Mahmoud Ibrahim S. Yahia Choonkil Park |
| author_facet | Noor Zeb Khan Rashid Mahmood Sardar Bilal Ali Akgül Sherzod Abdullaev Emad E. Mahmoud Ibrahim S. Yahia Choonkil Park |
| author_sort | Noor Zeb Khan |
| collection | DOAJ |
| description | The prime motive of this disquisition is to scrutinize simultaneous aspects of external forcing mechanism and internal volumetric forces on non-Newtonian liquid filled in square enclosure. Inertially driven upper lid is assumed by providing constant magnitude of slip velocity whereas thermal equilibrium is disturbed by assuming uniform temperature at lower boundary and by keeping rest of walls as cold. To enhance thermal diffusion transport with in the flow domain cold as well as adiabatic temperature situation is provided. In view of velocity constraints all the extremities at no-slip except the upper wall which is moving with ULid. Formulation is attained in dimensional form initially and afterwards variables are used to convert constructed differential system into dimensionless representation. A numerical solution of leading formulation is sought through Galerkin finite element discretization. Momentum and temperature equations are interpolated by quadratic polynomials whereas pressure distribution is approximated by linear interpolating function. Domain discretized version is evaluated in view of triangular and rectangular elements. Newton’s scheme is employed to resolve the non-linearly discretized system and a matrix factorization based non-linear solver renowned as PARADISO is used. Validation of results is ascertained by forming agreement with existing studies. In addition, grid independence test is also performed to show credibility of performed computations. Stream lines and isothermal contours patterns are portrayed to evaluate variation in flow distributions. Kinetic energy and local heat flux for uniform and non-uniform heating situations are also divulged in graphical and tabular formats. Increase in Reynold number produces decrease in kinetic energy of fluid. Enhancement in Grashof number causes enrichment of thermal buoyancy forces due to which Nusselt number uplifts. Clock wise rotations increase against upsurge in magnitude of Reynold number which is evidenced form stream lines. Squeezing of secondary vortex against Prandtl number arises due to dominance of viscous forces. |
| first_indexed | 2024-04-11T00:54:08Z |
| format | Article |
| id | doaj.art-2bc9722a68d84f5dab074cffd2cc92ae |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T00:54:08Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-2bc9722a68d84f5dab074cffd2cc92ae2023-01-05T06:46:07ZengElsevierAlexandria Engineering Journal1110-01682023-02-0164981998Mixed convective thermal transport in a lid-driven square enclosure with square obstacleNoor Zeb Khan0Rashid Mahmood1Sardar Bilal2Ali Akgül3Sherzod Abdullaev4Emad E. Mahmoud5Ibrahim S. Yahia6Choonkil Park7Department 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, PakistanDepartment of Mathematics, Air University, P.A.F Complex E-9, Islamabad 44000, PakistanSiirt University, Art and Science Faculty, Department of Mathematics, 56100 Siirt, Turkey; Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia /Mersin 10 – Turkey; Corresponding authors.Independent Researcher and CEO of the Company “Editory” LTD, Independent Researcher, Andijan Machine-Building Institute, UzbekistanDepartment of Mathematics and Statistics, College of Science, Taif University, PO Box 11099, Taif 21944, Saudi ArabiaDepartment of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia; Research Center for Advanced Materials Science (RCAMS), King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia; Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Metallurgical Laboratory 1, Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo 11757, EgyptResearch Institute for Natural Sciences, Hanyang University, Seoul 04763, Republic of Korea; Corresponding authors.The prime motive of this disquisition is to scrutinize simultaneous aspects of external forcing mechanism and internal volumetric forces on non-Newtonian liquid filled in square enclosure. Inertially driven upper lid is assumed by providing constant magnitude of slip velocity whereas thermal equilibrium is disturbed by assuming uniform temperature at lower boundary and by keeping rest of walls as cold. To enhance thermal diffusion transport with in the flow domain cold as well as adiabatic temperature situation is provided. In view of velocity constraints all the extremities at no-slip except the upper wall which is moving with ULid. Formulation is attained in dimensional form initially and afterwards variables are used to convert constructed differential system into dimensionless representation. A numerical solution of leading formulation is sought through Galerkin finite element discretization. Momentum and temperature equations are interpolated by quadratic polynomials whereas pressure distribution is approximated by linear interpolating function. Domain discretized version is evaluated in view of triangular and rectangular elements. Newton’s scheme is employed to resolve the non-linearly discretized system and a matrix factorization based non-linear solver renowned as PARADISO is used. Validation of results is ascertained by forming agreement with existing studies. In addition, grid independence test is also performed to show credibility of performed computations. Stream lines and isothermal contours patterns are portrayed to evaluate variation in flow distributions. Kinetic energy and local heat flux for uniform and non-uniform heating situations are also divulged in graphical and tabular formats. Increase in Reynold number produces decrease in kinetic energy of fluid. Enhancement in Grashof number causes enrichment of thermal buoyancy forces due to which Nusselt number uplifts. Clock wise rotations increase against upsurge in magnitude of Reynold number which is evidenced form stream lines. Squeezing of secondary vortex against Prandtl number arises due to dominance of viscous forces.http://www.sciencedirect.com/science/article/pii/S1110016822005610Mixed convectionPower law fluidSquare cavitySquare cylinder (Adiabatic and Cold)Non-uniform and uniform heating |
| spellingShingle | Noor Zeb Khan Rashid Mahmood Sardar Bilal Ali Akgül Sherzod Abdullaev Emad E. Mahmoud Ibrahim S. Yahia Choonkil Park Mixed convective thermal transport in a lid-driven square enclosure with square obstacle Alexandria Engineering Journal Mixed convection Power law fluid Square cavity Square cylinder (Adiabatic and Cold) Non-uniform and uniform heating |
| title | Mixed convective thermal transport in a lid-driven square enclosure with square obstacle |
| title_full | Mixed convective thermal transport in a lid-driven square enclosure with square obstacle |
| title_fullStr | Mixed convective thermal transport in a lid-driven square enclosure with square obstacle |
| title_full_unstemmed | Mixed convective thermal transport in a lid-driven square enclosure with square obstacle |
| title_short | Mixed convective thermal transport in a lid-driven square enclosure with square obstacle |
| title_sort | mixed convective thermal transport in a lid driven square enclosure with square obstacle |
| topic | Mixed convection Power law fluid Square cavity Square cylinder (Adiabatic and Cold) Non-uniform and uniform heating |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822005610 |
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