Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects
The paper deals with the analysis of the laminar incompressible flow of a Carreau-Casson-Williamson fluid having magnetohydrodynamics effects with thermophoresis and Brownian motion effects over a wedge surface. Using similarity variables, a set of coupled ordinary differential equations are formula...
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Elsevier
2025-06-01
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| Series: | Engineering Science and Technology, an International Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2215098625001260 |
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| author | Talal Taha Sohaib Abdal Liaqat Ali Rana Muhammad Zulqarnain Se-Jin Yook |
| author_facet | Talal Taha Sohaib Abdal Liaqat Ali Rana Muhammad Zulqarnain Se-Jin Yook |
| author_sort | Talal Taha |
| collection | DOAJ |
| description | The paper deals with the analysis of the laminar incompressible flow of a Carreau-Casson-Williamson fluid having magnetohydrodynamics effects with thermophoresis and Brownian motion effects over a wedge surface. Using similarity variables, a set of coupled ordinary differential equations are formulated for the governing equations of fluid flow. The solution process comprises a two-stage calculation. ODEs are first solved numerically using MATLAB’s bvp4c function, a known solver of boundary value problems known to solve complex ODEs within fluid dynamics very effectively. Further optimization and simplification of the analysis are achieved by using an artificial neural networking base Levenberg Marquardt algorithm (ANN-LMA) model. The derived dataset was divided into three parts: training 70%, validation 15%, and testing 15%. MSE metric between the values of 10-8 and 10-10. MSE values can be used to grade the model’s performance. Increased Weissenberg number increases velocity and elasticity by facilitating flow with the boundary layer. On the other hand, raised Casson, Williamson, and magnetic parameters bring down the velocities as there comes the effect of damping and more resistance. Thermophoresis affects the migration rates of the particles by controlling the thermal and concentration gradient in the boundary layer with Brownian motion influencing its diffusion on the viscosity level and stability of fluid while in motion. In general, there is a fundamental interest in wedge flow because this geometry is present in aerodynamics and hydrodynamics, the study of fluids flowing around shapes like airfoils, nozzles, and underwater vehicles. |
| format | Article |
| id | doaj-art-909f4aaf79d4449caf112db6d6badfe2 |
| institution | DOAJ |
| issn | 2215-0986 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Engineering Science and Technology, an International Journal |
| spelling | doaj-art-909f4aaf79d4449caf112db6d6badfe22025-08-20T02:57:05ZengElsevierEngineering Science and Technology, an International Journal2215-09862025-06-016610207110.1016/j.jestch.2025.102071Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effectsTalal Taha0Sohaib Abdal1Liaqat Ali2Rana Muhammad Zulqarnain3Se-Jin Yook4Department of Mathematics and Statistics, Faculty of Sciences, International Islamic University, Islamabad 04436, PakistanSchool of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Republic of KoreaSchool of Sciences, Xi’an Technological University, Xi’an 710021, ChinaDepartment of Mathematics, Saveetha School of Engineering, SlMATS, Chennai, IndiaSchool of Mechanical Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Republic of Korea; Corresponding author.The paper deals with the analysis of the laminar incompressible flow of a Carreau-Casson-Williamson fluid having magnetohydrodynamics effects with thermophoresis and Brownian motion effects over a wedge surface. Using similarity variables, a set of coupled ordinary differential equations are formulated for the governing equations of fluid flow. The solution process comprises a two-stage calculation. ODEs are first solved numerically using MATLAB’s bvp4c function, a known solver of boundary value problems known to solve complex ODEs within fluid dynamics very effectively. Further optimization and simplification of the analysis are achieved by using an artificial neural networking base Levenberg Marquardt algorithm (ANN-LMA) model. The derived dataset was divided into three parts: training 70%, validation 15%, and testing 15%. MSE metric between the values of 10-8 and 10-10. MSE values can be used to grade the model’s performance. Increased Weissenberg number increases velocity and elasticity by facilitating flow with the boundary layer. On the other hand, raised Casson, Williamson, and magnetic parameters bring down the velocities as there comes the effect of damping and more resistance. Thermophoresis affects the migration rates of the particles by controlling the thermal and concentration gradient in the boundary layer with Brownian motion influencing its diffusion on the viscosity level and stability of fluid while in motion. In general, there is a fundamental interest in wedge flow because this geometry is present in aerodynamics and hydrodynamics, the study of fluids flowing around shapes like airfoils, nozzles, and underwater vehicles.http://www.sciencedirect.com/science/article/pii/S2215098625001260MHDCarreau-Casson-Williamson fluidThermophoresis and Brownian motionArtificial intelligence |
| spellingShingle | Talal Taha Sohaib Abdal Liaqat Ali Rana Muhammad Zulqarnain Se-Jin Yook Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects Engineering Science and Technology, an International Journal MHD Carreau-Casson-Williamson fluid Thermophoresis and Brownian motion Artificial intelligence |
| title | Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects |
| title_full | Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects |
| title_fullStr | Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects |
| title_full_unstemmed | Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects |
| title_short | Artificial intelligence approach to magnetohydrodynamic flow of non-Newtonian fluids over a wedge: Thermophoresis and Brownian motion effects |
| title_sort | artificial intelligence approach to magnetohydrodynamic flow of non newtonian fluids over a wedge thermophoresis and brownian motion effects |
| topic | MHD Carreau-Casson-Williamson fluid Thermophoresis and Brownian motion Artificial intelligence |
| url | http://www.sciencedirect.com/science/article/pii/S2215098625001260 |
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