Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions
This study utilises mathematical modelling and computations to analyse the magnetohydrodynamic (MHD) effects on non-Newtonian Eyring–Powell fluid flow in an inclined non-uniform channel under long-wavelength, low Reynolds number conditions. The governing equations are solved by applying slip boundar...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-10-01
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| Series: | Nonlinear Engineering |
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| Online Access: | https://doi.org/10.1515/nleng-2024-0026 |
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| author | Gudekote Manjunatha Choudhari Rajashekhar Sanil Prathiksha Vaidya Hanumesh Tripathi Dharmendra Prasad Kerehalli Vinayaka Nisar Kottakkaran Sooppy |
| author_facet | Gudekote Manjunatha Choudhari Rajashekhar Sanil Prathiksha Vaidya Hanumesh Tripathi Dharmendra Prasad Kerehalli Vinayaka Nisar Kottakkaran Sooppy |
| author_sort | Gudekote Manjunatha |
| collection | DOAJ |
| description | This study utilises mathematical modelling and computations to analyse the magnetohydrodynamic (MHD) effects on non-Newtonian Eyring–Powell fluid flow in an inclined non-uniform channel under long-wavelength, low Reynolds number conditions. The governing equations are solved by applying slip boundary conditions to determine the velocity, temperature, concentration, and streamline profiles. The key findings show that the magnetic parameter dampens the flow rate. The relationship between the variable viscosity, velocity, and temperature is nonlinear. The wall rigidity parameter and axial velocity are directly proportional until a threshold. Increasing inclination angles distorts streamlines. The magnetic field alters concentration contours and thermal transport. MATLAB parametric analysis explores MHD effects. This study enhances the understanding of inclined channel fluid dynamics, offering insights into variable viscosity, magnetic fields, wall properties, and impacts of inclination angles on non-Newtonian flow characteristics. This knowledge can optimise industrial MHD conduit/channel transport applications. |
| format | Article |
| id | doaj-art-552a85500ee34f3eb0eb9294b3da6cca |
| institution | OA Journals |
| issn | 2192-8029 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj-art-552a85500ee34f3eb0eb9294b3da6cca2025-08-20T02:18:00ZengDe GruyterNonlinear Engineering2192-80292024-10-01131483810.1515/nleng-2024-0026Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditionsGudekote Manjunatha0Choudhari Rajashekhar1Sanil Prathiksha2Vaidya Hanumesh3Tripathi Dharmendra4Prasad Kerehalli Vinayaka5Nisar Kottakkaran Sooppy6Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, IndiaDepartment of Mathematics, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education, Manipal, Karnataka, IndiaDepartment of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, IndiaDepartment of Mathematics, Vijayanagara Sri Krishnadevarya University, Ballari 583105, Karnataka, IndiaDepartment of Mathematics, National Institute of Technology, Srinagar, Uttarakhand, IndiaDepartment of Mathematics, Vijayanagara Sri Krishnadevarya University, Ballari 583105, Karnataka, IndiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam bin Abdulaziz University, P.O. Box 173, Al-Kharj 11942, Saudi ArabiaThis study utilises mathematical modelling and computations to analyse the magnetohydrodynamic (MHD) effects on non-Newtonian Eyring–Powell fluid flow in an inclined non-uniform channel under long-wavelength, low Reynolds number conditions. The governing equations are solved by applying slip boundary conditions to determine the velocity, temperature, concentration, and streamline profiles. The key findings show that the magnetic parameter dampens the flow rate. The relationship between the variable viscosity, velocity, and temperature is nonlinear. The wall rigidity parameter and axial velocity are directly proportional until a threshold. Increasing inclination angles distorts streamlines. The magnetic field alters concentration contours and thermal transport. MATLAB parametric analysis explores MHD effects. This study enhances the understanding of inclined channel fluid dynamics, offering insights into variable viscosity, magnetic fields, wall properties, and impacts of inclination angles on non-Newtonian flow characteristics. This knowledge can optimise industrial MHD conduit/channel transport applications.https://doi.org/10.1515/nleng-2024-0026magnetohydrodynamicnon-newtonian fluidlong-wavelengthvariable viscosityeyring powell fluid |
| spellingShingle | Gudekote Manjunatha Choudhari Rajashekhar Sanil Prathiksha Vaidya Hanumesh Tripathi Dharmendra Prasad Kerehalli Vinayaka Nisar Kottakkaran Sooppy Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions Nonlinear Engineering magnetohydrodynamic non-newtonian fluid long-wavelength variable viscosity eyring powell fluid |
| title | Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions |
| title_full | Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions |
| title_fullStr | Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions |
| title_full_unstemmed | Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions |
| title_short | Analysis of the magnetohydrodynamic effects on non-Newtonian fluid flow in an inclined non-uniform channel under long-wavelength, low-Reynolds number conditions |
| title_sort | analysis of the magnetohydrodynamic effects on non newtonian fluid flow in an inclined non uniform channel under long wavelength low reynolds number conditions |
| topic | magnetohydrodynamic non-newtonian fluid long-wavelength variable viscosity eyring powell fluid |
| url | https://doi.org/10.1515/nleng-2024-0026 |
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