Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate
The current analysis aims to find the solution to the buoyancy effect on time-dependent flow and heat transfer induced by a hybrid micropolar nanofluid over a permeable shrinking or stretching vertical flat plate. A novel hybrid nanofluid is utilized, which consists of the agglomeration of water (pu...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822003234 |
| _version_ | 1797978763101732864 |
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| author | Umair Khan Aurang Zaib Ioan Pop Sakhinah Abu Bakar Anuar Ishak |
| author_facet | Umair Khan Aurang Zaib Ioan Pop Sakhinah Abu Bakar Anuar Ishak |
| author_sort | Umair Khan |
| collection | DOAJ |
| description | The current analysis aims to find the solution to the buoyancy effect on time-dependent flow and heat transfer induced by a hybrid micropolar nanofluid over a permeable shrinking or stretching vertical flat plate. A novel hybrid nanofluid is utilized, which consists of the agglomeration of water (pure fluid) and two dissimilar nanoparticles like silver (Ag) and titanium dioxide (TiO2). Initially, the model is developed in the form of the non-linear partial differential equations (PDEs) with three independent variables, which are transformed to the set of dimensionless ordinary differential equations (ODEs) using the appropriate similarity transformations. These dimensionless ODEs are solved numerically via the bvp4c package in MATLAB software. The consequence of various involved controlling parameters on the velocity, microrotation, friction drag, temperature, and heat transfer characteristics for the upper branch solution (UPBS) and the lower branch solution (LOBS) are thoroughly inspected. In physical engineering quantities of interest, it is deeply observed that for the case of stretching, the solution of the stable (upper) branch is possible for the entire negative and positive selected values of the stretching/shrinking parameter. In contrast, the lower branch solution exists only for negative values of the stretching/shrinking parameter for the shrinking case. |
| first_indexed | 2024-04-11T05:29:17Z |
| format | Article |
| id | doaj.art-6b53e63d98b3428ebe5cc8562af27ea7 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T05:29:17Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-6b53e63d98b3428ebe5cc8562af27ea72022-12-23T04:39:01ZengElsevierAlexandria Engineering Journal1110-01682022-12-0161121133711349Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plateUmair Khan0Aurang Zaib1Ioan Pop2Sakhinah Abu Bakar3Anuar Ishak4Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, PakistanDepartment of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal Karachi 75300, PakistanDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia; Corresponding author.The current analysis aims to find the solution to the buoyancy effect on time-dependent flow and heat transfer induced by a hybrid micropolar nanofluid over a permeable shrinking or stretching vertical flat plate. A novel hybrid nanofluid is utilized, which consists of the agglomeration of water (pure fluid) and two dissimilar nanoparticles like silver (Ag) and titanium dioxide (TiO2). Initially, the model is developed in the form of the non-linear partial differential equations (PDEs) with three independent variables, which are transformed to the set of dimensionless ordinary differential equations (ODEs) using the appropriate similarity transformations. These dimensionless ODEs are solved numerically via the bvp4c package in MATLAB software. The consequence of various involved controlling parameters on the velocity, microrotation, friction drag, temperature, and heat transfer characteristics for the upper branch solution (UPBS) and the lower branch solution (LOBS) are thoroughly inspected. In physical engineering quantities of interest, it is deeply observed that for the case of stretching, the solution of the stable (upper) branch is possible for the entire negative and positive selected values of the stretching/shrinking parameter. In contrast, the lower branch solution exists only for negative values of the stretching/shrinking parameter for the shrinking case.http://www.sciencedirect.com/science/article/pii/S1110016822003234Micropolar fluidMixed convection flowMagnetohydrodynamics (MHD)Hybrid nanofluidStretching/shrinking vertical flat plateDual solution |
| spellingShingle | Umair Khan Aurang Zaib Ioan Pop Sakhinah Abu Bakar Anuar Ishak Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate Alexandria Engineering Journal Micropolar fluid Mixed convection flow Magnetohydrodynamics (MHD) Hybrid nanofluid Stretching/shrinking vertical flat plate Dual solution |
| title | Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate |
| title_full | Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate |
| title_fullStr | Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate |
| title_full_unstemmed | Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate |
| title_short | Unsteady micropolar hybrid nanofluid flow past a permeable stretching/shrinking vertical plate |
| title_sort | unsteady micropolar hybrid nanofluid flow past a permeable stretching shrinking vertical plate |
| topic | Micropolar fluid Mixed convection flow Magnetohydrodynamics (MHD) Hybrid nanofluid Stretching/shrinking vertical flat plate Dual solution |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822003234 |
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