Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation
Recent nanotechnology advancements have created a remarkable platform for the development of a better performance of ultrahigh coolant acknowledged as nanofluid for numerous industrial and engineering technologies. The current study aims to examine the boundary-layer cross-flow of Williamson fluid t...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2022-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022362?viewType=HTML |
| _version_ | 1818330392061542400 |
|---|---|
| author | Umair Khan Aurang Zaib Sakhinah Abu Bakar Anuar Ishak Dumitru Baleanu El-Sayed M Sherif |
| author_facet | Umair Khan Aurang Zaib Sakhinah Abu Bakar Anuar Ishak Dumitru Baleanu El-Sayed M Sherif |
| author_sort | Umair Khan |
| collection | DOAJ |
| description | Recent nanotechnology advancements have created a remarkable platform for the development of a better performance of ultrahigh coolant acknowledged as nanofluid for numerous industrial and engineering technologies. The current study aims to examine the boundary-layer cross-flow of Williamson fluid through a rotational stagnation point towards either a shrinking or stretching permeable wall incorporated by a hybrid nanofluid. The shape factors along with the radiation effect are also taken into account. The contained boundary layers are the type of stream-wise by shrinking/stretching process along with the sheet. Employing the suitable transformations, the partial differential equations (PDEs) are transmuted to similarity (ordinary) differential equations (ODEs). The transmuted system of ODEs is worked out by using a built-in package bvp4c in MATLAB for distinct values of pertaining parameters. Dual (first and second branch) outcomes are found for the shrinking surface. The results suggest that the inclusion of hybrid particles uplifts the drag force as well as the heat transfer in both solutions. In addition, the Weissenberg number accelerates the separation. Moreover, the effect of suction permits the friction factor and heat transfer to improve significantly at the porous shrinking/stretching sheet of hybrid nanofluid. |
| first_indexed | 2024-12-13T13:03:13Z |
| format | Article |
| id | doaj.art-01e6a1c3360f469aa6b42e879b30df05 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-13T13:03:13Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-01e6a1c3360f469aa6b42e879b30df052022-12-21T23:44:55ZengAIMS PressAIMS Mathematics2473-69882022-01-01746489651510.3934/math.2022362Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiationUmair Khan0Aurang Zaib1Sakhinah Abu Bakar2Anuar Ishak 3Dumitru Baleanu4El-Sayed M Sherif 51. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia 2. Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur 65200, Sindh, Pakistan3. Department of Mathematical Sciences, Federal Urdu University of Arts, Science & Technology, Gulshan-e-Iqbal Karachi 75300, Pakistan1. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia1. Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM Bangi 43600, Selangor, Malaysia4. Department of Mathematics, Cankaya University, Ankara 06790, Turkey 5. Institute of Space Sciences, Magurele 077125, Romania 6. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40447, Taiwan7. Mechanical Engineering Department, College of Engineering, King Saud University, Riyadh 11423, Saudi ArabiaRecent nanotechnology advancements have created a remarkable platform for the development of a better performance of ultrahigh coolant acknowledged as nanofluid for numerous industrial and engineering technologies. The current study aims to examine the boundary-layer cross-flow of Williamson fluid through a rotational stagnation point towards either a shrinking or stretching permeable wall incorporated by a hybrid nanofluid. The shape factors along with the radiation effect are also taken into account. The contained boundary layers are the type of stream-wise by shrinking/stretching process along with the sheet. Employing the suitable transformations, the partial differential equations (PDEs) are transmuted to similarity (ordinary) differential equations (ODEs). The transmuted system of ODEs is worked out by using a built-in package bvp4c in MATLAB for distinct values of pertaining parameters. Dual (first and second branch) outcomes are found for the shrinking surface. The results suggest that the inclusion of hybrid particles uplifts the drag force as well as the heat transfer in both solutions. In addition, the Weissenberg number accelerates the separation. Moreover, the effect of suction permits the friction factor and heat transfer to improve significantly at the porous shrinking/stretching sheet of hybrid nanofluid.https://www.aimspress.com/article/doi/10.3934/math.2022362?viewType=HTMLwilliamson fluidcross-flowhybrid nanofluidthermal radiationshrinking/stretching surface |
| spellingShingle | Umair Khan Aurang Zaib Sakhinah Abu Bakar Anuar Ishak Dumitru Baleanu El-Sayed M Sherif Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation AIMS Mathematics williamson fluid cross-flow hybrid nanofluid thermal radiation shrinking/stretching surface |
| title | Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation |
| title_full | Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation |
| title_fullStr | Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation |
| title_full_unstemmed | Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation |
| title_short | Computational simulation of cross-flow of Williamson fluid over a porous shrinking/stretching surface comprising hybrid nanofluid and thermal radiation |
| title_sort | computational simulation of cross flow of williamson fluid over a porous shrinking stretching surface comprising hybrid nanofluid and thermal radiation |
| topic | williamson fluid cross-flow hybrid nanofluid thermal radiation shrinking/stretching surface |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022362?viewType=HTML |
| work_keys_str_mv | AT umairkhan computationalsimulationofcrossflowofwilliamsonfluidoveraporousshrinkingstretchingsurfacecomprisinghybridnanofluidandthermalradiation AT aurangzaib computationalsimulationofcrossflowofwilliamsonfluidoveraporousshrinkingstretchingsurfacecomprisinghybridnanofluidandthermalradiation AT sakhinahabubakar computationalsimulationofcrossflowofwilliamsonfluidoveraporousshrinkingstretchingsurfacecomprisinghybridnanofluidandthermalradiation AT anuarishak computationalsimulationofcrossflowofwilliamsonfluidoveraporousshrinkingstretchingsurfacecomprisinghybridnanofluidandthermalradiation AT dumitrubaleanu computationalsimulationofcrossflowofwilliamsonfluidoveraporousshrinkingstretchingsurfacecomprisinghybridnanofluidandthermalradiation AT elsayedmsherif computationalsimulationofcrossflowofwilliamsonfluidoveraporousshrinkingstretchingsurfacecomprisinghybridnanofluidandthermalradiation |