A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme
Developing mathematical models for electro-osmotic flow in non-Newtonian fluids is difficult since fluid mechanics and electrokinetic phenomena are interconnected. Conventional models frequently assume Newtonian behaviour, which is insufficient for accurately representing the complex characteristics...
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Elsevier
2025-05-01
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| Series: | International Journal of Thermofluids |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666202725001879 |
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| author | Muhammad Shoaib Arif Wasfi Shatanawi Yasir Nawaz |
| author_facet | Muhammad Shoaib Arif Wasfi Shatanawi Yasir Nawaz |
| author_sort | Muhammad Shoaib Arif |
| collection | DOAJ |
| description | Developing mathematical models for electro-osmotic flow in non-Newtonian fluids is difficult since fluid mechanics and electrokinetic phenomena are interconnected. Conventional models frequently assume Newtonian behaviour, which is insufficient for accurately representing the complex characteristics of non-Newtonian fluids such as Carreau fluid. The primary objective of this work is to construct a computational scheme for solving the governing equations related to the electro-osmotic flow of Carreau fluid over a stationary sheet. The practicality of the Carreau fluid model for this study lies in its ability to accurately represent the shear-dependent viscosity observed in various biological and industrial fluids. A novel two-stage numerical scheme is introduced for solving the governing time-dependent partial differential equations. The first stage utilizes an exponential integrator, while the second stage employs a Runge-Kutta method. Spatial discretization is achieved using a high-order, accurate compact scheme, which ensures sixth-order spatial accuracy. The stability and convergence of the proposed scheme are rigorously analyzed for both scalar equations and systems of parabolic equations. The framework is applied to the dimensionless governing equations of electro-osmotic flow, with the results validated against existing first- and second-order schemes. The proposed method demonstrates superior accuracy and computational efficiency. The results reveal the influence of key parameters, such as the Weissenberg number, Forchheimer number, and Helmholtz-Smoluchowski velocity, on the flow and temperature profiles. The framework also considers the impact of heat generation, reaction kinetics, and mass diffusivity on thermal and concentration distributions. This work establishes a robust computational approach for solving complex fluid flow problems involving non-Newtonian fluids, such as Carreau fluids, driven by electro-osmotic forces and influenced by magnetic and porous media effects. |
| format | Article |
| id | doaj-art-290b2d26282a4b1db5f28182715ce38d |
| institution | OA Journals |
| issn | 2666-2027 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Thermofluids |
| spelling | doaj-art-290b2d26282a4b1db5f28182715ce38d2025-08-20T02:28:20ZengElsevierInternational Journal of Thermofluids2666-20272025-05-012710124010.1016/j.ijft.2025.101240A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical schemeMuhammad Shoaib Arif0Wasfi Shatanawi1Yasir Nawaz2Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; Department of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan; Corresponding author.Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; Department of Mathematics, Faculty of Science, The Hashemite University, P.O. Box 330127, Zarqa, 13133, JordanDepartment of Mathematics, Air University, PAF Complex E-9, Islamabad, 44000, PakistanDeveloping mathematical models for electro-osmotic flow in non-Newtonian fluids is difficult since fluid mechanics and electrokinetic phenomena are interconnected. Conventional models frequently assume Newtonian behaviour, which is insufficient for accurately representing the complex characteristics of non-Newtonian fluids such as Carreau fluid. The primary objective of this work is to construct a computational scheme for solving the governing equations related to the electro-osmotic flow of Carreau fluid over a stationary sheet. The practicality of the Carreau fluid model for this study lies in its ability to accurately represent the shear-dependent viscosity observed in various biological and industrial fluids. A novel two-stage numerical scheme is introduced for solving the governing time-dependent partial differential equations. The first stage utilizes an exponential integrator, while the second stage employs a Runge-Kutta method. Spatial discretization is achieved using a high-order, accurate compact scheme, which ensures sixth-order spatial accuracy. The stability and convergence of the proposed scheme are rigorously analyzed for both scalar equations and systems of parabolic equations. The framework is applied to the dimensionless governing equations of electro-osmotic flow, with the results validated against existing first- and second-order schemes. The proposed method demonstrates superior accuracy and computational efficiency. The results reveal the influence of key parameters, such as the Weissenberg number, Forchheimer number, and Helmholtz-Smoluchowski velocity, on the flow and temperature profiles. The framework also considers the impact of heat generation, reaction kinetics, and mass diffusivity on thermal and concentration distributions. This work establishes a robust computational approach for solving complex fluid flow problems involving non-Newtonian fluids, such as Carreau fluids, driven by electro-osmotic forces and influenced by magnetic and porous media effects.http://www.sciencedirect.com/science/article/pii/S2666202725001879Computation schemeStabilityConvergenceElectro osmotic flowCarreau fluidHeat and mass transfer |
| spellingShingle | Muhammad Shoaib Arif Wasfi Shatanawi Yasir Nawaz A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme International Journal of Thermofluids Computation scheme Stability Convergence Electro osmotic flow Carreau fluid Heat and mass transfer |
| title | A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme |
| title_full | A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme |
| title_fullStr | A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme |
| title_full_unstemmed | A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme |
| title_short | A computational framework for electro-osmotic flow analysis in Carreau fluids using a hybrid numerical scheme |
| title_sort | computational framework for electro osmotic flow analysis in carreau fluids using a hybrid numerical scheme |
| topic | Computation scheme Stability Convergence Electro osmotic flow Carreau fluid Heat and mass transfer |
| url | http://www.sciencedirect.com/science/article/pii/S2666202725001879 |
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