A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model
A non-Newtonian fluid is one whose viscosity changes with applied stress, meaning it does not obey Newton’s law of viscosity. Non-Newtonian and hybrid nanofluid flow analysis attracts great research attention due to its extensive applications in current fields and the advancement of technology. Ther...
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2025-09-01
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| Series: | Results in Engineering |
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| author | Ayesha Bibi Waris Khan Ali Arishi Imed Boukhris Mohamed Kallel Afnan Al Agha Hakim AL Garalleh |
| author_facet | Ayesha Bibi Waris Khan Ali Arishi Imed Boukhris Mohamed Kallel Afnan Al Agha Hakim AL Garalleh |
| author_sort | Ayesha Bibi |
| collection | DOAJ |
| description | A non-Newtonian fluid is one whose viscosity changes with applied stress, meaning it does not obey Newton’s law of viscosity. Non-Newtonian and hybrid nanofluid flow analysis attracts great research attention due to its extensive applications in current fields and the advancement of technology. Therefore, the objective of this research is to present a semi-analytical solution of the non-Newtonian Maxwell hybrid nanofluid flow over a stretching sheet using mass flux and CattaneoChristov heat models. Alumina (Al₂O₃) and magnetite (Fe₃O₄) nanoparticles are combined to form a mixture of nanoparticles. The heat transmission rate for Maxwell hybrid nanofluid is controlled by considering Brownian motion, activation energy, thermophoresis, radiation, and magnetic effects. The partial differential equations with corresponding boundary constraints are transformed into a set of nonlinear ODEs using similarity transformations and some parameters. After formulating the model, a combination of the shooting method and MATLAB’s BVP4C solver is employed to solve the nonlinear ODEs and graphically illustrate the results. This study shows how the temperature and concentration profile are impacted by Brownian motion and the magnetic field's effect on velocity caused by the Lorentz force. Skin friction, heat, mass flux, magnetic factor, and Nusselt number were among the parameters that were examined and graphed to show their effects on temperature, concentration, and velocity fields. |
| format | Article |
| id | doaj-art-e0f2fd9faa0344208cdc8dd228ce2110 |
| institution | DOAJ |
| issn | 2590-1230 |
| language | English |
| publishDate | 2025-09-01 |
| publisher | Elsevier |
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| series | Results in Engineering |
| spelling | doaj-art-e0f2fd9faa0344208cdc8dd228ce21102025-08-20T03:15:03ZengElsevierResults in Engineering2590-12302025-09-012710595310.1016/j.rineng.2025.105953A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux modelAyesha Bibi0Waris Khan1Ali Arishi2Imed Boukhris3Mohamed Kallel4Afnan Al Agha5Hakim AL Garalleh6Department of Mathematics and Statistics, Hazara University, Mansehra 21300, KP, PakistanDepartment of Mathematics and Statistics, Hazara University, Mansehra 21300, KP, Pakistan; Corresponding authors.Department of Industrial Engineering, King Khalid University, Abha 61421, Saudi ArabiaCentral Labs, King Khalid University, AlQura'a, Abha, P.O. Box 960, Saudi ArabiaDepartment of Physics, College of Science, Northern Border University, Arar, Saudi Arabia; Corresponding authors.Department of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah 21361, Saudi ArabiaDepartment of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah 21361, Saudi ArabiaA non-Newtonian fluid is one whose viscosity changes with applied stress, meaning it does not obey Newton’s law of viscosity. Non-Newtonian and hybrid nanofluid flow analysis attracts great research attention due to its extensive applications in current fields and the advancement of technology. Therefore, the objective of this research is to present a semi-analytical solution of the non-Newtonian Maxwell hybrid nanofluid flow over a stretching sheet using mass flux and CattaneoChristov heat models. Alumina (Al₂O₃) and magnetite (Fe₃O₄) nanoparticles are combined to form a mixture of nanoparticles. The heat transmission rate for Maxwell hybrid nanofluid is controlled by considering Brownian motion, activation energy, thermophoresis, radiation, and magnetic effects. The partial differential equations with corresponding boundary constraints are transformed into a set of nonlinear ODEs using similarity transformations and some parameters. After formulating the model, a combination of the shooting method and MATLAB’s BVP4C solver is employed to solve the nonlinear ODEs and graphically illustrate the results. This study shows how the temperature and concentration profile are impacted by Brownian motion and the magnetic field's effect on velocity caused by the Lorentz force. Skin friction, heat, mass flux, magnetic factor, and Nusselt number were among the parameters that were examined and graphed to show their effects on temperature, concentration, and velocity fields.http://www.sciencedirect.com/science/article/pii/S2590123025020250Maxwell hybrid nanofluidActivation energyThermophoresisRadiationCattaneo-Christov heat and Mass flux |
| spellingShingle | Ayesha Bibi Waris Khan Ali Arishi Imed Boukhris Mohamed Kallel Afnan Al Agha Hakim AL Garalleh A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model Results in Engineering Maxwell hybrid nanofluid Activation energy Thermophoresis Radiation Cattaneo-Christov heat and Mass flux |
| title | A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model |
| title_full | A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model |
| title_fullStr | A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model |
| title_full_unstemmed | A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model |
| title_short | A Sami analytical solution of non-Newtonian Maxwell hybrid nano-fluid over a stretching sheet with Cattaneo-Christov heat and mass flux model |
| title_sort | sami analytical solution of non newtonian maxwell hybrid nano fluid over a stretching sheet with cattaneo christov heat and mass flux model |
| topic | Maxwell hybrid nanofluid Activation energy Thermophoresis Radiation Cattaneo-Christov heat and Mass flux |
| url | http://www.sciencedirect.com/science/article/pii/S2590123025020250 |
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