Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach
Abstract The study of thermo-physical characteristics is essential to observe the impact of several influential parameters on temperature and velocity fields. The transportation of heat in fluid flows and thermal instability/stability is a charming area of research due to their wider applications an...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-02-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-06213-8 |
| _version_ | 1818330398174740480 |
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| author | Ebrahem A. Algehyne Essam R. El-Zahar S. H. Elhag Fatimah S. Bayones Umar Nazir Muhammad Sohail Poom Kumam |
| author_facet | Ebrahem A. Algehyne Essam R. El-Zahar S. H. Elhag Fatimah S. Bayones Umar Nazir Muhammad Sohail Poom Kumam |
| author_sort | Ebrahem A. Algehyne |
| collection | DOAJ |
| description | Abstract The study of thermo-physical characteristics is essential to observe the impact of several influential parameters on temperature and velocity fields. The transportation of heat in fluid flows and thermal instability/stability is a charming area of research due to their wider applications and physical significance because of their utilization in different engineering systems. This report is prepared to study thermal transportation in Maxwell hybrid nanofluid past over an infinite stretchable vertical porous sheet. An inclusion of hybrid nanofluid is performed to monitor the aspects of thermal transportation. Keeping in mind the advantages of thermal failure, non-Fourier theory for heat flux model is utilized. Aspects of external heat source are also considered. The mathematical formulation for the considered model with certain important physical aspects results in the form of coupled nonlinear PDEs system. The obtained system is reduced by engaging boundary layer approximation. Afterwards, transformations have been utilized to convert the modeled PDEs system into ODEs system. The converted nonlinear ODEs system is then handled via finite element method coded in symbolic computational package MAPLE 18.0. Grid independent survey is presented for the validation of used approach and the comparative analysis has been done to confirm the reliability of obtained solution. The obtained solution is discussed and physical aspects have been explored and recorded against numerous involved influential variables. Motion into hybrid nanoparticles and nanoparticles becomes slow down versus higher values of Forchheimer and Darcy’s porous numbers. Thermal growth is enhanced for the case of hybrid nano-structures rather than for case of nanofluid. Thickness regarding momentum layer is dominated for hybrid nanoparticles rather than case of nanoparticles. |
| first_indexed | 2024-12-13T13:03:19Z |
| format | Article |
| id | doaj.art-26ab06dd710945c7ae65e8f518275da3 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-13T13:03:19Z |
| publishDate | 2022-02-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-26ab06dd710945c7ae65e8f518275da32022-12-21T23:44:54ZengNature PortfolioScientific Reports2045-23222022-02-0112111210.1038/s41598-022-06213-8Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approachEbrahem A. Algehyne0Essam R. El-Zahar1S. H. Elhag2Fatimah S. Bayones3Umar Nazir4Muhammad Sohail5Poom Kumam6Department of Mathematics, Faculty of Science, University of TabukDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz UniversityDepartment of Mathematics and Statistics, College of Science, Taif UniversityDepartment of Mathematics and Statistics, College of Science, Taif UniversityDepartment of Applied Mathematics and Statistics, Institute of Space TechnologyDepartment of Applied Mathematics and Statistics, Institute of Space TechnologyCenter of Excellence in Theoretical and Computational Science (TaCS-CoE) & KMUTT Fixed Point Research Laboratory, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT)Abstract The study of thermo-physical characteristics is essential to observe the impact of several influential parameters on temperature and velocity fields. The transportation of heat in fluid flows and thermal instability/stability is a charming area of research due to their wider applications and physical significance because of their utilization in different engineering systems. This report is prepared to study thermal transportation in Maxwell hybrid nanofluid past over an infinite stretchable vertical porous sheet. An inclusion of hybrid nanofluid is performed to monitor the aspects of thermal transportation. Keeping in mind the advantages of thermal failure, non-Fourier theory for heat flux model is utilized. Aspects of external heat source are also considered. The mathematical formulation for the considered model with certain important physical aspects results in the form of coupled nonlinear PDEs system. The obtained system is reduced by engaging boundary layer approximation. Afterwards, transformations have been utilized to convert the modeled PDEs system into ODEs system. The converted nonlinear ODEs system is then handled via finite element method coded in symbolic computational package MAPLE 18.0. Grid independent survey is presented for the validation of used approach and the comparative analysis has been done to confirm the reliability of obtained solution. The obtained solution is discussed and physical aspects have been explored and recorded against numerous involved influential variables. Motion into hybrid nanoparticles and nanoparticles becomes slow down versus higher values of Forchheimer and Darcy’s porous numbers. Thermal growth is enhanced for the case of hybrid nano-structures rather than for case of nanofluid. Thickness regarding momentum layer is dominated for hybrid nanoparticles rather than case of nanoparticles.https://doi.org/10.1038/s41598-022-06213-8 |
| spellingShingle | Ebrahem A. Algehyne Essam R. El-Zahar S. H. Elhag Fatimah S. Bayones Umar Nazir Muhammad Sohail Poom Kumam Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach Scientific Reports |
| title | Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach |
| title_full | Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach |
| title_fullStr | Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach |
| title_full_unstemmed | Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach |
| title_short | Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach |
| title_sort | investigation of thermal performance of maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach |
| url | https://doi.org/10.1038/s41598-022-06213-8 |
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