| MHD 3D flow of nanofluid through a nonlinearly stretching/shrinking sheet with nonlinear thermal radiation - A Novel numerical approach via Chebyshev polynomials’ first derivative pseudo-Galerkin method |
| Paper ID : 1036-ISCHU |
| Authors |
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Hoda Mohamed Mobarak *, Mohamed Ahmed Abdelhakem, Rasha Adel Ebrahim, Emad Abo Eldahab Mathematics Department, Faculty of Science, Helwan University, Cairo, Egypt |
| Abstract |
| This research work aims to theoretically examine the influence of various factors on the three-dimensional nanofluid flow. The study includes parameters such as temperature ratio coefficient, Prandtl numbers, Schmidt, Soret, Dufour, and Biot, expansion ratio coefficient, Power index, and nanoparticle volume fraction parameter, as well as the effect of nonlinear thermal radiation and magnetic parameter on the behavior of the nanofluid. These characteristics significantly impact the flow of the three-dimensional boundary layer in the presence of an expansion plate. To facilitate the investigation, we have selected nanofluids that contain water-based copper and aluminum oxide for this study. We have developed a model of a system of nonlinear partial differential equations, which has been transformed into a system of nonlinear ordinary differential equations using similarity equations. To approximate and solve the nonlinear SYS-ODEs, we utilized a modified spectral Chebyshev polynomials' first derivative pseudo-Galerkin method. Additionally, we conducted an error analysis to ensure the credibility of our results. We presented our analysis in graphical form and provided comments on each figure along with the effects of the various parameters studied. |
| Keywords |
| Nanofluid, Magnetic field, Boundary layer flow, MHD, pseudo-Galerkin, Chebyshev polynomials |
| Status: Abstract Accepted (Oral Presentation) |