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  1. Article

    Open Access

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

    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 ...

    Muhammad Bilal Hafeez, Marek Krawczuk, Wasim Jamshed, Hajra Kaneez in Scientific Reports (2022)