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Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate
Abstract
In the current study, a vertical, 3D-heated plate is used to replicate the generation of heat energy and concentration into Prandtl liquid. We discuss how Dufour and Soret theories relate to the equations for concentration and energy. In order to see how efectively particles, interact with heat and a solvent, hybrid nanoparticles are used. It does away with the phenomena of viscous dissipation and changing magnetic felds. The motivation behind the developed study is to optimize solvent and heat storage uses in the biological and industrial domains. This article’s major goal is to explore the aspects of thermal energy and mass transfer that infuence how nanoparticles, hybrid nanoparticles, and 3D melting surface sheets behave. Variable thermal efciency and variable mass transfer are combined. The system of generated PDEs (diference equations) includes the concentration, velocity, and heat energy equations. The numerical calculations are done for Silver (Ag), Molybdenum Disulfde (MoS2) nanoparticles with Ethylene glycol (C2H6O2) as the base fuid using a boundary layer approach to the mathematical formulation. The system of ODEs is formulated through transformations in order to fnd a solution. A Galerkin fnite element algorithm (G-FEA) is adopted to analyze various aspects versus diferent parameters. It has been found that motion into hybrid nanoparticles is reduced by motion into nanoparticles. Additionally, diferences in heat energy and solvent particle sizes are associated with modifcations in magnetic, Dufour, Eckert, and Soret numbers. In contrast to hybrid nanostructures, the output of thermal energy is usually observed to be substantially higher. The magnetic feld parameter decreases the particle velocity. In contradiction to the Eckert number, bouncy parameter, and magnetic parameter set values, the maximum quantity of heat energy is obtained. variable thermal conductivity’s function. The 3D heated vertical surface convective heat transfer of nanofuids and hybrid nanofuids under the impact of a heat source, thermal radiation, and viscous dissipation has not yet been studied, as far as the authors are aware.
Citations
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Authors (6)
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Wasim Jamshed Dr
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Hajra Kaneez
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Syed M. Hussain
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El Sayed M. Tag El Din
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Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1038/s41598-022-20332-2
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Keywords
Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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Scientific Reports
no. 12,
ISSN: 2045-2322 - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- Hafeez M. B., Krawczuk M., Jamshed W., Kaneez H., Hussain S. M., El Din E. S. M. T.: Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate// Scientific Reports -Vol. 12,iss. 1 (2022), s.19681-
- DOI:
- Digital Object Identifier (open in new tab) 10.1038/s41598-022-20332-2
- Sources of funding:
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- Free publication
- Verified by:
- Gdańsk University of Technology
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