Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate.

Muhammad Bilal Hafeez, Marek Krawczuk, Wasim Jamshed, Hajra Kaneez, Syed M Hussain, El Sayed M Tag El Din

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Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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5 · Who and what money

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6 authors.

Muhammad Bilal HafeezInstitute of Mechanics and Machine Design, Faculty of Mechanical Engineering and Ship Technology, Gdansk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland.

Marek KrawczukInstitute of Mechanics and Machine Design, Faculty of Mechanical Engineering and Ship Technology, Gdansk University of Technology, Narutowicza 11/12, 80-233, Gdańsk, Poland.

Wasim JamshedDepartment of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, Pakistan. wasiktk@hotmail.com.

Hajra KaneezDepartment of Mathematics, Institute of Space Technology, Islamabad, 44000, Pakistan.

Syed M HussainDepartment of Mathematics, Faculty of Science, Islamic University of Madinah, Medina, 42351, Saudi Arabia.

El Sayed M Tag El DinElectrical Engineering, Faculty of Engineering and Technology, Future University in Egypt, New Cairo, 11835, Egypt.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

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 effectively particles, interact with heat and a solvent, hybrid nanoparticles are used. It does away with the phenomena of viscous dissipation and changing magnetic fields. 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 influence how nanoparticles, hybrid nanoparticles, and 3D melting surface sheets behave. Variable thermal efficiency and variable mass transfer are combined. The system of generated PDEs (difference equations) includes the concentration, velocity, and heat energy equations. The numerical calculations are done for Silver (Ag), Molybdenum Disulfide (MoS

Identifiers

PMID36385257

DOI10.1038/s41598-022-20332-2

PMCPMC9668844

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