Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials
To find the solutions to the equations containing non-linear terms is a very tough task for the researchers. Even it becomes more challenging when someone wants to find the exact solutions. The exact solutions play a vital role which can be used as a benchmark for numerical and empirical solutions....
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9069274/ |
| _version_ | 1819276623876194304 |
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| author | Saqib Murtaza Muhammad Iftekhar Farhad Ali Aamina Ilyas Khan |
| author_facet | Saqib Murtaza Muhammad Iftekhar Farhad Ali Aamina Ilyas Khan |
| author_sort | Saqib Murtaza |
| collection | DOAJ |
| description | To find the solutions to the equations containing non-linear terms is a very tough task for the researchers. Even it becomes more challenging when someone wants to find the exact solutions. The exact solutions play a vital role which can be used as a benchmark for numerical and empirical solutions. Therefore, the present article aims to investigate the amalgamated effect of viscous dissipation and joule heating on the electro-osmotic flow of generalized Maxwell nanofluid along with heat transfer in a channel. Nanofluid is formed by the uniform dispersion of ultra-fine nano-sized solid particles of clay in concrete which is considered as a base fluid. The classical model of the Maxwell nanofluid is generalized by using the new definition of the Atangana-Baleanu time-fractional derivative. Fourier sine transform and the Laplace transform techniques are used to evaluate the exact expressions for the velocity and temperature distributions. The impact of various embedded parameters such as fractional parameter, Maxwell fluid parameter, volume fraction parameter, zeta potential parameters, electro-kinetic parameter, Brinkman number, joule heating parameter and Prandtl number on velocity and temperature profiles are drawn and illustrated graphically. It is interesting to see that by using nano-clay in concrete the rate of heat transfer increases with 25.5%. |
| first_indexed | 2024-12-23T23:43:10Z |
| format | Article |
| id | doaj.art-6aa52e708bff4209b7745e860c3879d2 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-23T23:43:10Z |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-6aa52e708bff4209b7745e860c3879d22022-12-21T17:25:35ZengIEEEIEEE Access2169-35362020-01-018967389674710.1109/ACCESS.2020.29882599069274Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-MaterialsSaqib Murtaza0Muhammad Iftekhar1Farhad Ali2https://orcid.org/0000-0001-9454-265X Aamina3https://orcid.org/0000-0003-4062-4670Ilyas Khan4Department of Mathematics, City University of Science and Information Technology, Peshawar, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, PakistanDepartment of Mathematics, City University of Science and Information Technology, Peshawar, PakistanComputational Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, VietnamDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al Majma’ah, Saudi ArabiaTo find the solutions to the equations containing non-linear terms is a very tough task for the researchers. Even it becomes more challenging when someone wants to find the exact solutions. The exact solutions play a vital role which can be used as a benchmark for numerical and empirical solutions. Therefore, the present article aims to investigate the amalgamated effect of viscous dissipation and joule heating on the electro-osmotic flow of generalized Maxwell nanofluid along with heat transfer in a channel. Nanofluid is formed by the uniform dispersion of ultra-fine nano-sized solid particles of clay in concrete which is considered as a base fluid. The classical model of the Maxwell nanofluid is generalized by using the new definition of the Atangana-Baleanu time-fractional derivative. Fourier sine transform and the Laplace transform techniques are used to evaluate the exact expressions for the velocity and temperature distributions. The impact of various embedded parameters such as fractional parameter, Maxwell fluid parameter, volume fraction parameter, zeta potential parameters, electro-kinetic parameter, Brinkman number, joule heating parameter and Prandtl number on velocity and temperature profiles are drawn and illustrated graphically. It is interesting to see that by using nano-clay in concrete the rate of heat transfer increases with 25.5%.https://ieeexplore.ieee.org/document/9069274/Maxwell nanofluidelectro-osmosisviscous dissipationAtangana-Baleanu fractional derivativeFourier sine transformlaplace transform |
| spellingShingle | Saqib Murtaza Muhammad Iftekhar Farhad Ali Aamina Ilyas Khan Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials IEEE Access Maxwell nanofluid electro-osmosis viscous dissipation Atangana-Baleanu fractional derivative Fourier sine transform laplace transform |
| title | Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials |
| title_full | Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials |
| title_fullStr | Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials |
| title_full_unstemmed | Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials |
| title_short | Exact Analysis of Non-Linear Electro-Osmotic Flow of Generalized Maxwell Nanofluid: Applications in Concrete Based Nano-Materials |
| title_sort | exact analysis of non linear electro osmotic flow of generalized maxwell nanofluid applications in concrete based nano materials |
| topic | Maxwell nanofluid electro-osmosis viscous dissipation Atangana-Baleanu fractional derivative Fourier sine transform laplace transform |
| url | https://ieeexplore.ieee.org/document/9069274/ |
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