Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation
The studies of ordinary derivatives based nanofluids have limitations and some restrictions to solve and analyze the integer ordered leading partial differential equations and also have some memory effect complications. Fractional order in nanofluids can enhance and analyze more efficiently the memo...
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doaj-bfc0c94988264cd782e5b799d0de2ae22021-09-19T04:57:29ZengElsevierCase Studies in Thermal Engineering2214-157X2021-12-0128101373Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiationAli Raza0Ilyas Khan1Saadia Farid2Chu Anh My3Afrasyab Khan4Hammad Alotaibi5Department of Mathematics, University of Engineering and Technology, Lahore, 54890, PakistanDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia; Corresponding author.Department of Mathematics, University of Engineering and Technology, Lahore, 54890, PakistanInstitute of Simulation Technology Le Quy Don Technical University (LQDTU), 236 Hoang Quoc Viet, Cau Giay, Hanoi, Viet Nam; Corresponding author.Research Institute of Mechanical Engineering, Department of Vibration Testing and Equipment Condition Monitoring, South Ural State University, Lenin Prospect 76, Chelyabinsk, 454080, Russian FederationDepartment of Mathematics, College of Science, Taif University, P.O. Box, 11099, Taif, 21944, Saudi ArabiaThe studies of ordinary derivatives based nanofluids have limitations and some restrictions to solve and analyze the integer ordered leading partial differential equations and also have some memory effect complications. Fractional order in nanofluids can enhance and analyze more efficiently the memory effects on nanofluid behavior by different fractional derivatives techniques. In this study, the analytical solution of nanofluids containing water as a base fluid with copper oxide and silver as nanoparticles with heat and mass characteristics is investigated. The water-based nanofluid is flowing on an infinite sheet with constant temperature and thermal radiation. The dimensionless partial differential governing equations are solved in the sense of the most recent definition of fractional derivatives that is the Atangana-Baleanu fractional derivative. To dig out the mathematical solution of the developed fractional model of temperature and velocity field, the Laplace transformation technique and some of its inverse method i.e. Zakians method are utilized. To enhance the innovation of this article, the graphical and numerical representation of temperature and velocity fields are described and discussed by varying the values of different constraints such as fractional parameter and volume fraction. As a result, we concluded from the graphical illustration of the parameters, in comparison to copper oxide and silver nanofluid, CUo-water nanofluids has always slightly greater heat transfer rate as compared to Ag-water fractional nanofluid, which also depends on the enhancement of volume fraction. Furthermore, temperature and velocity profile shows decaying behavior with the enhancement in the fractional parameterβ.http://www.sciencedirect.com/science/article/pii/S2214157X21005360Fractional nanofluidsNatural convectionAnalytical solutionThermal radiation |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ali Raza Ilyas Khan Saadia Farid Chu Anh My Afrasyab Khan Hammad Alotaibi |
spellingShingle |
Ali Raza Ilyas Khan Saadia Farid Chu Anh My Afrasyab Khan Hammad Alotaibi Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation Case Studies in Thermal Engineering Fractional nanofluids Natural convection Analytical solution Thermal radiation |
author_facet |
Ali Raza Ilyas Khan Saadia Farid Chu Anh My Afrasyab Khan Hammad Alotaibi |
author_sort |
Ali Raza |
title |
Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation |
title_short |
Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation |
title_full |
Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation |
title_fullStr |
Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation |
title_full_unstemmed |
Non-singular fractional approach for natural convection nanofluid with Damped thermal analysis and radiation |
title_sort |
non-singular fractional approach for natural convection nanofluid with damped thermal analysis and radiation |
publisher |
Elsevier |
series |
Case Studies in Thermal Engineering |
issn |
2214-157X |
publishDate |
2021-12-01 |
description |
The studies of ordinary derivatives based nanofluids have limitations and some restrictions to solve and analyze the integer ordered leading partial differential equations and also have some memory effect complications. Fractional order in nanofluids can enhance and analyze more efficiently the memory effects on nanofluid behavior by different fractional derivatives techniques. In this study, the analytical solution of nanofluids containing water as a base fluid with copper oxide and silver as nanoparticles with heat and mass characteristics is investigated. The water-based nanofluid is flowing on an infinite sheet with constant temperature and thermal radiation. The dimensionless partial differential governing equations are solved in the sense of the most recent definition of fractional derivatives that is the Atangana-Baleanu fractional derivative. To dig out the mathematical solution of the developed fractional model of temperature and velocity field, the Laplace transformation technique and some of its inverse method i.e. Zakians method are utilized. To enhance the innovation of this article, the graphical and numerical representation of temperature and velocity fields are described and discussed by varying the values of different constraints such as fractional parameter and volume fraction. As a result, we concluded from the graphical illustration of the parameters, in comparison to copper oxide and silver nanofluid, CUo-water nanofluids has always slightly greater heat transfer rate as compared to Ag-water fractional nanofluid, which also depends on the enhancement of volume fraction. Furthermore, temperature and velocity profile shows decaying behavior with the enhancement in the fractional parameterβ. |
topic |
Fractional nanofluids Natural convection Analytical solution Thermal radiation |
url |
http://www.sciencedirect.com/science/article/pii/S2214157X21005360 |
work_keys_str_mv |
AT aliraza nonsingularfractionalapproachfornaturalconvectionnanofluidwithdampedthermalanalysisandradiation AT ilyaskhan nonsingularfractionalapproachfornaturalconvectionnanofluidwithdampedthermalanalysisandradiation AT saadiafarid nonsingularfractionalapproachfornaturalconvectionnanofluidwithdampedthermalanalysisandradiation AT chuanhmy nonsingularfractionalapproachfornaturalconvectionnanofluidwithdampedthermalanalysisandradiation AT afrasyabkhan nonsingularfractionalapproachfornaturalconvectionnanofluidwithdampedthermalanalysisandradiation AT hammadalotaibi nonsingularfractionalapproachfornaturalconvectionnanofluidwithdampedthermalanalysisandradiation |
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1717376331744804864 |