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 effectively particles, interact with...

Full description

Bibliographic Details
Main Authors: Muhammad Bilal Hafeez, Marek Krawczuk, Wasim Jamshed, Hajra Kaneez, Syed M. Hussain, El Sayed M. Tag El Din
Format: Article
Language:English
Published: Nature Portfolio 2022-11-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-022-20332-2