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
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 hybri...
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| Veröffentlicht in: | Fractal and fractional 2021-09, Vol.5 (3), p.119, Article 119 |
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| creator | Chu, Yu-Ming Nazir, Umar Sohail, Muhammad Selim, Mahmoud M. Lee, Jung-Rye |
| description | 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. |
| doi_str_mv | 10.3390/fractalfract5030119 |
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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.</description><identifier>ISSN: 2504-3110</identifier><identifier>EISSN: 2504-3110</identifier><identifier>DOI: 10.3390/fractalfract5030119</identifier><language>eng</language><publisher>BASEL: Mdpi</publisher><subject>Approximation ; Boundary conditions ; Boundary layers ; Chemical reactions ; Drag ; Finite element method ; finite element technique ; grid independent investigation ; Heat conductivity ; Industrial applications ; Magnetic fields ; Magnetic properties ; mathematical modeling ; Mathematics ; Mathematics, Interdisciplinary Applications ; Nanoparticles ; ordinary and partial differential equations ; Ordinary differential equations ; parametric investigation ; Physical Sciences ; Prandtl number ; Reliability analysis ; Reynolds number ; Rheological properties ; Rheology ; Science & Technology ; Thermal energy ; thermal enhancement ; Transportation ; Velocity ; Viscosity</subject><ispartof>Fractal and fractional, 2021-09, Vol.5 (3), p.119, Article 119</ispartof><rights>2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). 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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. 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| subjects | Approximation Boundary conditions Boundary layers Chemical reactions Drag Finite element method finite element technique grid independent investigation Heat conductivity Industrial applications Magnetic fields Magnetic properties mathematical modeling Mathematics Mathematics, Interdisciplinary Applications Nanoparticles ordinary and partial differential equations Ordinary differential equations parametric investigation Physical Sciences Prandtl number Reliability analysis Reynolds number Rheological properties Rheology Science & Technology Thermal energy thermal enhancement Transportation Velocity Viscosity |
| title | 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 |
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