Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface
Abstract Tetra-hybrid nanofluids with Al2O3, Cu, SiO2 and TiO2 offer better control over heat transfer rate. These nanofluids are useful for thermal applications in engineering, biomedical material science and the energy sector. Different nanoparticle shapes also influence the heat transfer performa...
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| Format: | Article |
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Springer
2025-07-01
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| Series: | Discover Applied Sciences |
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| Online Access: | https://doi.org/10.1007/s42452-025-07359-6 |
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| author | Prasun Choudhary K. Loganathan Kavita Jat Krishna Prakash Arunachalam S. Eswaramoorthi |
| author_facet | Prasun Choudhary K. Loganathan Kavita Jat Krishna Prakash Arunachalam S. Eswaramoorthi |
| author_sort | Prasun Choudhary |
| collection | DOAJ |
| description | Abstract Tetra-hybrid nanofluids with Al2O3, Cu, SiO2 and TiO2 offer better control over heat transfer rate. These nanofluids are useful for thermal applications in engineering, biomedical material science and the energy sector. Different nanoparticle shapes also influence the heat transfer performance of tetra-hybrid nanofluids and allow the fluid to be tailored for specific industrial needs. This study examines the flow aspects of a radiative magnetohydrodynamics tetra-hybrid nanofluid flowing past a stretching surface in a porous medium. The flow system is further interpreted under the influence of first- order velocity and thermal slip conditions. Initially formulated flow governing equations are highly nonlinear partial differential equations that are changed into a set of linear ordinary differential equations adopting relevant similarity transformations. The subsequent equations are then dealt with using both numerical and analytical approaches. Specifically, we employ the MATLAB-based bvp4c solver for the numerical solution and the optimal auxiliary functions method for the analytical treatment. The responses of key governing flow parameters on velocity, temperature, skin friction, and Nusselt number are examined and presented through both graphs and tabulated data. Raising the porosity parameter from $$Ps=0.1$$ to $$Ps=0.4$$ results in a noticeable decline in momentum profiles, dropping from $$f'\left( {\eta =0.6} \right)=0.49860$$ to $$f'\left( {\eta =0.6} \right)=0.33058$$ . Enhancing the nanoparticle volume fraction $$\left( {0.00 \leqslant \phi \leqslant 0.05} \right)$$ elevates the temperature distribution from $$\theta \left( {\eta =2} \right)=0.06349$$ to $$\theta \left( {\eta =1} \right)=0.21466$$ . The trend of decreasing skin friction with enhancing inputs of nanoparticle shape factor and magnetic parameter remains consistent in both no-slip and slip conditions. Slip effects significantly impact the heat transfer rate compared to the no-slip condition under the impact of Eckert number and nanoparticle shape factors. |
| format | Article |
| id | doaj-art-79228239982149cc82e9dfe4ae3d96d2 |
| institution | DOAJ |
| issn | 3004-9261 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Applied Sciences |
| spelling | doaj-art-79228239982149cc82e9dfe4ae3d96d22025-08-20T03:03:41ZengSpringerDiscover Applied Sciences3004-92612025-07-017713310.1007/s42452-025-07359-6Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surfacePrasun Choudhary0K. Loganathan1Kavita Jat2Krishna Prakash Arunachalam3S. Eswaramoorthi4Centre for Computational Modeling, Chennai Institute of TechnologyDepartment of Mathematics and Statistics, Manipal University JaipurDepartment of Mathematics and Statistics, Manipal University JaipurDepartamento de Ciencias de la Construcción, Facultad de Ciencias de la Construcción Ordenamiento Territorial, Universidad Tecnológica MetropolitanaCentre for Computational Modeling, Chennai Institute of TechnologyAbstract Tetra-hybrid nanofluids with Al2O3, Cu, SiO2 and TiO2 offer better control over heat transfer rate. These nanofluids are useful for thermal applications in engineering, biomedical material science and the energy sector. Different nanoparticle shapes also influence the heat transfer performance of tetra-hybrid nanofluids and allow the fluid to be tailored for specific industrial needs. This study examines the flow aspects of a radiative magnetohydrodynamics tetra-hybrid nanofluid flowing past a stretching surface in a porous medium. The flow system is further interpreted under the influence of first- order velocity and thermal slip conditions. Initially formulated flow governing equations are highly nonlinear partial differential equations that are changed into a set of linear ordinary differential equations adopting relevant similarity transformations. The subsequent equations are then dealt with using both numerical and analytical approaches. Specifically, we employ the MATLAB-based bvp4c solver for the numerical solution and the optimal auxiliary functions method for the analytical treatment. The responses of key governing flow parameters on velocity, temperature, skin friction, and Nusselt number are examined and presented through both graphs and tabulated data. Raising the porosity parameter from $$Ps=0.1$$ to $$Ps=0.4$$ results in a noticeable decline in momentum profiles, dropping from $$f'\left( {\eta =0.6} \right)=0.49860$$ to $$f'\left( {\eta =0.6} \right)=0.33058$$ . Enhancing the nanoparticle volume fraction $$\left( {0.00 \leqslant \phi \leqslant 0.05} \right)$$ elevates the temperature distribution from $$\theta \left( {\eta =2} \right)=0.06349$$ to $$\theta \left( {\eta =1} \right)=0.21466$$ . The trend of decreasing skin friction with enhancing inputs of nanoparticle shape factor and magnetic parameter remains consistent in both no-slip and slip conditions. Slip effects significantly impact the heat transfer rate compared to the no-slip condition under the impact of Eckert number and nanoparticle shape factors.https://doi.org/10.1007/s42452-025-07359-6Tetra-hybrid nanofluidsMagnetohydrodynamicsSlipRadiation |
| spellingShingle | Prasun Choudhary K. Loganathan Kavita Jat Krishna Prakash Arunachalam S. Eswaramoorthi Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface Discover Applied Sciences Tetra-hybrid nanofluids Magnetohydrodynamics Slip Radiation |
| title | Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface |
| title_full | Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface |
| title_fullStr | Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface |
| title_full_unstemmed | Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface |
| title_short | Thermal and velocity slip impacts on MHD tetra-hybrid nanofluids flow over a porous stretching surface |
| title_sort | thermal and velocity slip impacts on mhd tetra hybrid nanofluids flow over a porous stretching surface |
| topic | Tetra-hybrid nanofluids Magnetohydrodynamics Slip Radiation |
| url | https://doi.org/10.1007/s42452-025-07359-6 |
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