Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach
This paper investigates the steady two-dimensional flow and heat transfer characteristics of a non-Newtonian Carreau–Yasuda fluid induced by a nonlinearly stretching impermeable sheet under the combined impacts of thermal radiation, magnetic field, variable heat flux, viscous dissipation, and intern...
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Elsevier
2025-10-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X25011098 |
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| author | Mounirah Areshi |
| author_facet | Mounirah Areshi |
| author_sort | Mounirah Areshi |
| collection | DOAJ |
| description | This paper investigates the steady two-dimensional flow and heat transfer characteristics of a non-Newtonian Carreau–Yasuda fluid induced by a nonlinearly stretching impermeable sheet under the combined impacts of thermal radiation, magnetic field, variable heat flux, viscous dissipation, and internal heat generation. The study introduces a nonlinear similarity transformation that converts the governing partial differential equations into a coupled system of ordinary differential equations. These equations are solved numerically using the shooting method, while the Homotopy Perturbation Method (HPM) is employed for validation. The comparison between both approaches confirms excellent consistency and reliability of the numerical results. The impact of key dimensionless parameters such as the magnetic field parameter, Eckert number, and heat generation factor are systematically examined. The results show that increasing the magnetic field parameter from 0.0 to 1.0 enhances the surface temperature by approximately 33.3%. Likewise, raising the Eckert number from 0.0 to 1.0 increases the thermal profile by 42.4%, while the internal heat generation parameter causes a significant rise of 48.5% in temperature over the same range. These trends highlight the pronounced thermal thickening effects of Lorentz forces, viscous dissipation, and volumetric heating. The Nusselt number and skin friction coefficient are presented in tabular form to illustrate the sensitivity of heat transfer and flow resistance to varying physical parameters. Overall, the agreement between numerical and semi-analytical results confirms the reliability of the model, which can be applied to practical systems such as polymer sheet extrusion and thermal management devices. |
| format | Article |
| id | doaj-art-d70a79f81f8d480eb1ca123e19c355d7 |
| institution | Kabale University |
| issn | 2214-157X |
| language | English |
| publishDate | 2025-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj-art-d70a79f81f8d480eb1ca123e19c355d72025-08-20T05:06:50ZengElsevierCase Studies in Thermal Engineering2214-157X2025-10-017410684910.1016/j.csite.2025.106849Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approachMounirah Areshi0Department of Mathematics, Faculty of Science, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaThis paper investigates the steady two-dimensional flow and heat transfer characteristics of a non-Newtonian Carreau–Yasuda fluid induced by a nonlinearly stretching impermeable sheet under the combined impacts of thermal radiation, magnetic field, variable heat flux, viscous dissipation, and internal heat generation. The study introduces a nonlinear similarity transformation that converts the governing partial differential equations into a coupled system of ordinary differential equations. These equations are solved numerically using the shooting method, while the Homotopy Perturbation Method (HPM) is employed for validation. The comparison between both approaches confirms excellent consistency and reliability of the numerical results. The impact of key dimensionless parameters such as the magnetic field parameter, Eckert number, and heat generation factor are systematically examined. The results show that increasing the magnetic field parameter from 0.0 to 1.0 enhances the surface temperature by approximately 33.3%. Likewise, raising the Eckert number from 0.0 to 1.0 increases the thermal profile by 42.4%, while the internal heat generation parameter causes a significant rise of 48.5% in temperature over the same range. These trends highlight the pronounced thermal thickening effects of Lorentz forces, viscous dissipation, and volumetric heating. The Nusselt number and skin friction coefficient are presented in tabular form to illustrate the sensitivity of heat transfer and flow resistance to varying physical parameters. Overall, the agreement between numerical and semi-analytical results confirms the reliability of the model, which can be applied to practical systems such as polymer sheet extrusion and thermal management devices.http://www.sciencedirect.com/science/article/pii/S2214157X25011098Similar solutionCarreau–Yasuda modelHeat fluxHeat generationViscous dissipationNon-linear stretching |
| spellingShingle | Mounirah Areshi Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach Case Studies in Thermal Engineering Similar solution Carreau–Yasuda model Heat flux Heat generation Viscous dissipation Non-linear stretching |
| title | Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach |
| title_full | Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach |
| title_fullStr | Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach |
| title_full_unstemmed | Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach |
| title_short | Advancing heat transport in radiated Carreau–Yasuda non-Newtonian fluids under nonlinear stretching conditions and variable heat flux: A similarity solution approach |
| title_sort | advancing heat transport in radiated carreau yasuda non newtonian fluids under nonlinear stretching conditions and variable heat flux a similarity solution approach |
| topic | Similar solution Carreau–Yasuda model Heat flux Heat generation Viscous dissipation Non-linear stretching |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X25011098 |
| work_keys_str_mv | AT mounirahareshi advancingheattransportinradiatedcarreauyasudanonnewtonianfluidsundernonlinearstretchingconditionsandvariableheatfluxasimilaritysolutionapproach |