Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge
Numerous manufacturing processes, including the drawing of plastic films, have a major impact on mass transport. These functionalities necessitate the solution of the Falkner–Skan equation and some of its configurations when applied to various geometries and boundary conditions. Hence, the current p...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/12/10/1771 |
| _version_ | 1797497211941027840 |
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| author | Nurul Amira Zainal Roslinda Nazar Kohilavani Naganthran Ioan Pop |
| author_facet | Nurul Amira Zainal Roslinda Nazar Kohilavani Naganthran Ioan Pop |
| author_sort | Nurul Amira Zainal |
| collection | DOAJ |
| description | Numerous manufacturing processes, including the drawing of plastic films, have a major impact on mass transport. These functionalities necessitate the solution of the Falkner–Skan equation and some of its configurations when applied to various geometries and boundary conditions. Hence, the current paper discusses the impact of unsteady hybrid nanofluid flow on a moving Falkner–Skan wedge with a convective boundary condition. This problem is modeled by partial differential equations, which are then converted into ordinary (similar) differential equations using appropriate similarity transformations. The bvp4c technique in MATLAB solves these ordinary differential equations numerically. Since more than one solution is possible in this paper, stability analysis is conducted. Thus, it is found that only one stable solution is identified as reliable (physically realizable in practice). The skin friction coefficient and heat transfer rate, along with the velocity and temperature profile distributions, are examined to determine the values of several parameters. The findings reveal that dual-type nanoparticles and wedge angle parameters improve thermal efficiency. A lower value of the unsteadiness parameter reduces the efficiency of hybrid nanofluids in terms of heat transfer and skin friction coefficient, whereas increasing the Biot number of the working fluid does not affect the critical point in the current analysis. |
| first_indexed | 2024-03-10T03:15:11Z |
| format | Article |
| id | doaj.art-46d41c56939144a9873ed2c6e3c38109 |
| institution | Directory Open Access Journal |
| issn | 2079-4991 |
| language | English |
| last_indexed | 2024-03-10T03:15:11Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Nanomaterials |
| spelling | doaj.art-46d41c56939144a9873ed2c6e3c381092023-11-23T12:28:04ZengMDPI AGNanomaterials2079-49912022-05-011210177110.3390/nano12101771Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan WedgeNurul Amira Zainal0Roslinda Nazar1Kohilavani Naganthran2Ioan Pop3Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, MalaysiaDepartment of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, MalaysiaInstitute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, 400084 Cluj-Napoca, RomaniaNumerous manufacturing processes, including the drawing of plastic films, have a major impact on mass transport. These functionalities necessitate the solution of the Falkner–Skan equation and some of its configurations when applied to various geometries and boundary conditions. Hence, the current paper discusses the impact of unsteady hybrid nanofluid flow on a moving Falkner–Skan wedge with a convective boundary condition. This problem is modeled by partial differential equations, which are then converted into ordinary (similar) differential equations using appropriate similarity transformations. The bvp4c technique in MATLAB solves these ordinary differential equations numerically. Since more than one solution is possible in this paper, stability analysis is conducted. Thus, it is found that only one stable solution is identified as reliable (physically realizable in practice). The skin friction coefficient and heat transfer rate, along with the velocity and temperature profile distributions, are examined to determine the values of several parameters. The findings reveal that dual-type nanoparticles and wedge angle parameters improve thermal efficiency. A lower value of the unsteadiness parameter reduces the efficiency of hybrid nanofluids in terms of heat transfer and skin friction coefficient, whereas increasing the Biot number of the working fluid does not affect the critical point in the current analysis.https://www.mdpi.com/2079-4991/12/10/1771stability analysishybrid nanofluidunsteady flowmoving wedge |
| spellingShingle | Nurul Amira Zainal Roslinda Nazar Kohilavani Naganthran Ioan Pop Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge Nanomaterials stability analysis hybrid nanofluid unsteady flow moving wedge |
| title | Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge |
| title_full | Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge |
| title_fullStr | Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge |
| title_full_unstemmed | Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge |
| title_short | Stability Analysis of Unsteady Hybrid Nanofluid Flow over the Falkner-Skan Wedge |
| title_sort | stability analysis of unsteady hybrid nanofluid flow over the falkner skan wedge |
| topic | stability analysis hybrid nanofluid unsteady flow moving wedge |
| url | https://www.mdpi.com/2079-4991/12/10/1771 |
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