Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium
This study investigates the effects of non-Newtonian Reiner–Philippoff fluids on porous media, particularly in the context of steady radiative mixed convection flow and heat transfer near a shrinking plate surface in the presence of magnetohydrodynamics (MHD). The mathematical model is constructed u...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/4020390 |
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| _version_ | 1832546158242693120 |
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| author | Nurhana Mohamad Anuar Ishak Umair Khan Sawan Kumar Rawat Md Irfanul Haque Siddiqui |
| author_facet | Nurhana Mohamad Anuar Ishak Umair Khan Sawan Kumar Rawat Md Irfanul Haque Siddiqui |
| author_sort | Nurhana Mohamad |
| collection | DOAJ |
| description | This study investigates the effects of non-Newtonian Reiner–Philippoff fluids on porous media, particularly in the context of steady radiative mixed convection flow and heat transfer near a shrinking plate surface in the presence of magnetohydrodynamics (MHD). The mathematical model is constructed using PDEs and transformed into ODEs via similarity transformations, with numerical solutions obtained using MATLAB’s bvp4c function. The results demonstrate that boundary layer separation occurs slowest for dilatant fluids and fastest for pseudoplastic fluids, with Newtonian fluids exhibiting moderate separation rates. Thermal radiation and media porosity parameters are found to reduce heat transfer by approximately 0.95% and 0.02%, respectively, while accelerating boundary layer separation. Conversely, magnetic effects and suction parameters increase heat transfer by about 0.08% and 4.25%, respectively, enhancing both fluid velocity and temperature. The mixed convection parameter indicates the possibility of dual solutions, with the opposing flow favoring this phenomenon more than the assisting flow. The time-based stability analysis reveals that the first solution is stable, whereas the second solution is unstable. These findings provide significant insights into the behavior and control of Reiner–Philippoff fluids in practical applications involving porous media and magnetic fields. |
| format | Article |
| id | doaj-art-c205a85508ce45fd83ed5cec7eba5599 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c205a85508ce45fd83ed5cec7eba55992025-02-03T07:23:46ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4020390Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous MediumNurhana Mohamad0Anuar Ishak1Umair Khan2Sawan Kumar Rawat3Md Irfanul Haque Siddiqui4Department of Mathematical SciencesDepartment of Mathematical SciencesDepartment of Mathematical SciencesDepartment of MathematicsMechanical Engineering DepartmentThis study investigates the effects of non-Newtonian Reiner–Philippoff fluids on porous media, particularly in the context of steady radiative mixed convection flow and heat transfer near a shrinking plate surface in the presence of magnetohydrodynamics (MHD). The mathematical model is constructed using PDEs and transformed into ODEs via similarity transformations, with numerical solutions obtained using MATLAB’s bvp4c function. The results demonstrate that boundary layer separation occurs slowest for dilatant fluids and fastest for pseudoplastic fluids, with Newtonian fluids exhibiting moderate separation rates. Thermal radiation and media porosity parameters are found to reduce heat transfer by approximately 0.95% and 0.02%, respectively, while accelerating boundary layer separation. Conversely, magnetic effects and suction parameters increase heat transfer by about 0.08% and 4.25%, respectively, enhancing both fluid velocity and temperature. The mixed convection parameter indicates the possibility of dual solutions, with the opposing flow favoring this phenomenon more than the assisting flow. The time-based stability analysis reveals that the first solution is stable, whereas the second solution is unstable. These findings provide significant insights into the behavior and control of Reiner–Philippoff fluids in practical applications involving porous media and magnetic fields.http://dx.doi.org/10.1155/2024/4020390 |
| spellingShingle | Nurhana Mohamad Anuar Ishak Umair Khan Sawan Kumar Rawat Md Irfanul Haque Siddiqui Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium Journal of Mathematics |
| title | Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium |
| title_full | Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium |
| title_fullStr | Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium |
| title_full_unstemmed | Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium |
| title_short | Aspects of Dual Simulation for Modified Thermal Flux Advances in Non-Newtonian Reiner–Philippoff Fluid Flow past a Shrinking Plate Embedded in a Porous Medium |
| title_sort | aspects of dual simulation for modified thermal flux advances in non newtonian reiner philippoff fluid flow past a shrinking plate embedded in a porous medium |
| url | http://dx.doi.org/10.1155/2024/4020390 |
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