Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA
Ternary hybrid nanofluids are crucial to be modeled and researched before their commercial application as a heat transfer fluid. This study investigates the stagnation point flow of a ternary hybrid nanofluid past a stretching/shrinking sheet, focusing on the influence of the melting parameter and s...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Alexandria Engineering Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S111001682401247X |
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| author | Nur Syahirah Wahid Nur Ezlin Zamri Siti Zulaikha Mohd Jamaludin Nur Hazirah Adilla Norzawary Mohd Shareduwan Mohd Kasihmuddin Mohd. Asyraf Mansor Norihan Md Arifin Ioan Pop |
| author_facet | Nur Syahirah Wahid Nur Ezlin Zamri Siti Zulaikha Mohd Jamaludin Nur Hazirah Adilla Norzawary Mohd Shareduwan Mohd Kasihmuddin Mohd. Asyraf Mansor Norihan Md Arifin Ioan Pop |
| author_sort | Nur Syahirah Wahid |
| collection | DOAJ |
| description | Ternary hybrid nanofluids are crucial to be modeled and researched before their commercial application as a heat transfer fluid. This study investigates the stagnation point flow of a ternary hybrid nanofluid past a stretching/shrinking sheet, focusing on the influence of the melting parameter and second-order velocity slip. The governing partial differential equations (PDEs) are initially formulated and subsequently reduced to ordinary differential equations (ODEs). These ODEs are further transformed into first-order form and numerically solved using the bvp4c solver in MATLAB. Stability analysis is conducted due to the existence of two potential solutions, of which only one proves stable upon analysis. The numerical results indicate significant enhancements in heat transfer performance under conditions of elevated melting and enhanced velocity slip. Reducing the melting parameter and second-order velocity slip may expand the solution range, leading to a delay in boundary layer separation. The stable numerical solution for the heat transfer rate is then validated with the use of a logic mining model namely Permutation 2 Satisfiability Reverse Analysis (P2SATRA). The most accurate induced logic, chosen to illustrate the overall relationship between the selected parameters is achieved in the third fold of a 10-fold cross-validation, yielding an accuracy of 0.81818. |
| format | Article |
| id | doaj-art-d81aea0fc56149a9b1755d890990a760 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-d81aea0fc56149a9b1755d890990a7602025-01-29T05:00:07ZengElsevierAlexandria Engineering Journal1110-01682025-01-011127483Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRANur Syahirah Wahid0Nur Ezlin Zamri1Siti Zulaikha Mohd Jamaludin2Nur Hazirah Adilla Norzawary3Mohd Shareduwan Mohd Kasihmuddin4Mohd. Asyraf Mansor5Norihan Md Arifin6Ioan Pop7Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor 43400 UPM, Malaysia; Corresponding author.Department of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor 43400 UPM, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800 USM, MalaysiaInstitute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor 43400 UPM, MalaysiaSchool of Mathematical Sciences, Universiti Sains Malaysia, Penang 11800 USM, MalaysiaSchool of Distance Education, Universiti Sains Malaysia, Penang 11800 USM, MalaysiaDepartment of Mathematics and Statistics, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor 43400 UPM, Malaysia; Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor 43400 UPM, MalaysiaDepartment of Mathematics, Babeş-Bolyai University, Cluj-Napoca R-400084, Romania; Academy of Romanian Scientists, 3 Ilfov Street, Bucharest 050044, RomaniaTernary hybrid nanofluids are crucial to be modeled and researched before their commercial application as a heat transfer fluid. This study investigates the stagnation point flow of a ternary hybrid nanofluid past a stretching/shrinking sheet, focusing on the influence of the melting parameter and second-order velocity slip. The governing partial differential equations (PDEs) are initially formulated and subsequently reduced to ordinary differential equations (ODEs). These ODEs are further transformed into first-order form and numerically solved using the bvp4c solver in MATLAB. Stability analysis is conducted due to the existence of two potential solutions, of which only one proves stable upon analysis. The numerical results indicate significant enhancements in heat transfer performance under conditions of elevated melting and enhanced velocity slip. Reducing the melting parameter and second-order velocity slip may expand the solution range, leading to a delay in boundary layer separation. The stable numerical solution for the heat transfer rate is then validated with the use of a logic mining model namely Permutation 2 Satisfiability Reverse Analysis (P2SATRA). The most accurate induced logic, chosen to illustrate the overall relationship between the selected parameters is achieved in the third fold of a 10-fold cross-validation, yielding an accuracy of 0.81818.http://www.sciencedirect.com/science/article/pii/S111001682401247XTernary hybrid nanofluidMeltingSecond-order velocity slipStretching/shrinkingStability analysisPermutation 2 satisfiability reverse analysis |
| spellingShingle | Nur Syahirah Wahid Nur Ezlin Zamri Siti Zulaikha Mohd Jamaludin Nur Hazirah Adilla Norzawary Mohd Shareduwan Mohd Kasihmuddin Mohd. Asyraf Mansor Norihan Md Arifin Ioan Pop Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA Alexandria Engineering Journal Ternary hybrid nanofluid Melting Second-order velocity slip Stretching/shrinking Stability analysis Permutation 2 satisfiability reverse analysis |
| title | Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA |
| title_full | Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA |
| title_fullStr | Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA |
| title_full_unstemmed | Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA |
| title_short | Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA |
| title_sort | melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching shrinking sheet numerical simulation and validation via p2satra |
| topic | Ternary hybrid nanofluid Melting Second-order velocity slip Stretching/shrinking Stability analysis Permutation 2 satisfiability reverse analysis |
| url | http://www.sciencedirect.com/science/article/pii/S111001682401247X |
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