Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect
A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, timedependent derivatives, mixed convection, radiation effects, and the Grinberg term were all incorporated into the formulation...
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| Format: | Article |
| Language: | English |
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Multidisciplinary Digital Publishing Institute
2023
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| Online Access: | http://psasir.upm.edu.my/id/eprint/107418/ http://psasir.upm.edu.my/id/eprint/107418/1/107418.pdf |
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| author | Yahaya, Rusya Iryanti Md Arifin, Norihan Pop, Ioan Md Ali, Fadzilah Mohamed Isa, Siti Suzilliana Putri |
| author_facet | Yahaya, Rusya Iryanti Md Arifin, Norihan Pop, Ioan Md Ali, Fadzilah Mohamed Isa, Siti Suzilliana Putri |
| author_sort | Yahaya, Rusya Iryanti |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, timedependent derivatives, mixed convection, radiation effects, and the Grinberg term were all incorporated into the formulation of the governing equations and boundary conditions. By incorporating similarity transformations, ordinary differential (similarity) equations (ODEs) are derived from the partial differential equations (PDEs) of the flow model. The boundary value problem of the fourth-order accuracy code (bvp4c) was implemented in MATLAB (2017b, The MathWorks, Inc., Natick, MA. USA, 2017) to solve the mathematical model numerically. Due to the plates shrinking motion, two (dual) solutions are possible (first and second solutions). Based on the stability analysis, it was found that the first solution is stable and physically realizable in practice, while the second solution is not stable and not physically realizable in practice. It was found that the increase in the mixed convection parameter, modified Hartmann number, and unsteadiness parameter improved the hybrid nanofluids temperature profile. In addition, increasing the unsteadiness parameter decreased the velocity profile and the skin friction coefficient. Thus, the numerical results suggested that the augmentation of the modified Hartmann number, mixed convection parameter, and unsteadiness parameter can enhance the heat transfer performance in this flow model. This study offers valuable insight into fundamental transport phenomena such as the transmission of momentum, heat, or mass. Hence, it provides valuable information on the gradients of essential factors to control the boundary layer flow pattern. |
| first_indexed | 2025-11-15T13:56:00Z |
| format | Article |
| id | upm-107418 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T13:56:00Z |
| publishDate | 2023 |
| publisher | Multidisciplinary Digital Publishing Institute |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1074182024-10-21T01:44:48Z http://psasir.upm.edu.my/id/eprint/107418/ Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect Yahaya, Rusya Iryanti Md Arifin, Norihan Pop, Ioan Md Ali, Fadzilah Mohamed Isa, Siti Suzilliana Putri A mathematical model for the unsteady, two-dimensional mixed convection stagnation point flow over a Riga plate is presented in this study. Convective boundary conditions, timedependent derivatives, mixed convection, radiation effects, and the Grinberg term were all incorporated into the formulation of the governing equations and boundary conditions. By incorporating similarity transformations, ordinary differential (similarity) equations (ODEs) are derived from the partial differential equations (PDEs) of the flow model. The boundary value problem of the fourth-order accuracy code (bvp4c) was implemented in MATLAB (2017b, The MathWorks, Inc., Natick, MA. USA, 2017) to solve the mathematical model numerically. Due to the plates shrinking motion, two (dual) solutions are possible (first and second solutions). Based on the stability analysis, it was found that the first solution is stable and physically realizable in practice, while the second solution is not stable and not physically realizable in practice. It was found that the increase in the mixed convection parameter, modified Hartmann number, and unsteadiness parameter improved the hybrid nanofluids temperature profile. In addition, increasing the unsteadiness parameter decreased the velocity profile and the skin friction coefficient. Thus, the numerical results suggested that the augmentation of the modified Hartmann number, mixed convection parameter, and unsteadiness parameter can enhance the heat transfer performance in this flow model. This study offers valuable insight into fundamental transport phenomena such as the transmission of momentum, heat, or mass. Hence, it provides valuable information on the gradients of essential factors to control the boundary layer flow pattern. Multidisciplinary Digital Publishing Institute 2023-01-01 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/107418/1/107418.pdf Yahaya, Rusya Iryanti and Md Arifin, Norihan and Pop, Ioan and Md Ali, Fadzilah and Mohamed Isa, Siti Suzilliana Putri (2023) Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect. Mathematics, 11 (1). art. no. 215. pp. 1-20. ISSN 2227-7390 https://www.mdpi.com/2227-7390/11/1/215 10.3390/math11010215 |
| spellingShingle | Yahaya, Rusya Iryanti Md Arifin, Norihan Pop, Ioan Md Ali, Fadzilah Mohamed Isa, Siti Suzilliana Putri Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| title | Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| title_full | Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| title_fullStr | Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| title_full_unstemmed | Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| title_short | Dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| title_sort | dual solutions of unsteady mixed convection hybrid nanofluid flow past a vertical riga plate with radiation effect |
| url | http://psasir.upm.edu.my/id/eprint/107418/ http://psasir.upm.edu.my/id/eprint/107418/ http://psasir.upm.edu.my/id/eprint/107418/ http://psasir.upm.edu.my/id/eprint/107418/1/107418.pdf |