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Symmetry Group Analysis of the Unsteady Heat Transfer of Spherical Nanoparticles at a Small Reynolds Number Value

Autor*innen
Avramenko, Andriy A. ; Shevchuk, Igor V. ; Kovetskaya, Margarita M. ; Kobzar, Andrii S. ; Fedortsev, Kyryl ; Stepanova, Olesya Y.
Zeitschrift
Axioms 
DOI
10.3390/axioms15020097

Weitere Details

Sprache
englisch
Darstellungsform
Text
Band
15
Ausgabe
2
Artikelnummer
97
Schlüsselwörter
Lie groups , heat transfer , nanoparticles , symmetry analysis , unsteady

The problem of unsteady heat transfer between the gaseous and solid phases in two-phase flows with solid nanoparticles is considered. Based on a symmetry analysis, a solution to the unsteady heat conduction equation in spherical coordinates is obtained. Dependencies for the temperature profile and the Nusselt number are derived. The time-dependent change in the Nusselt number during the interaction between the solid particle and the surrounding medium is demonstrated.

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