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

Axioms 2026 Open access

Read full text
Authors: Andriy A. Avramenko, Igor V. Shevchuk, Margarita M. Kovetskaya, Andriy S. Kobzar, Kyryl Fedortsev, Olesya Y. Stepanova
DOI: 10.3390/axioms15020097
Cited by: 0
References: 19

Abstract

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.

Fields of Study & Subjects

Nanofluid Flow and Heat Transfer Particle Dynamics in Fluid Flows Heat Transfer and Numerical Methods

Publication details

Journal / source
Axioms
Volume
15
Issue
2
Pages
97–97
Publication date
29 January 2026
Language
EN