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Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

Yu‐Ming ChuDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaUmar NazirDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanMuhammad SohailDepartment of Applied Mathematics and Statistics, Institute of Space Technology, P.O. Box 2750, Islamabad 44000, PakistanMahmoud M. SelimDepartment of Mathematics, Al-Aflaj College of Science and Humanities Studies, Prince Sattam Bin Abdulaziz University, Al-Aflaj 710-11912, Saudi ArabiaJung-Rye LeeDepartment of Data Science, Daejin University, Pocheon-si 11159, Korea
2021en
ABI

Аннотация

Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers due to their wide applications. This report discusses the flow of Powell–Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory. Afterwards, similarity transformation has been applied to convert PDEs into associated ODEs. These transformed ODEs have been solved the using finite element procedure (FEP) in the symbolic computational package MAPLE 18.0. The applicability and effectiveness of FEM are presented by addressing grid independent analysis. The reliability of FEM is presented by computing the surface drag force and heat transportation coefficient. The used methodology is highly effective and it can be easily implemented in MAPLE 18.0 for other highly nonlinear problems. It is observed that the thermal profile varies directly with the magnetic parameter, and the opposite trend is recorded for the Prandtl number.

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