Lie symmetries of radiation natural convection flow past an inclined surface
Mehdi Nadjafikhah, Maryam Abdolsamadi, Elahe Oftadeh
TL;DR
This paper uses Lie symmetry methods to analyze the radiation natural convection flow past an inclined surface, classifying its invariant solutions and exploring its symmetry properties.
Contribution
It provides the first comprehensive Lie symmetry analysis of the RNC flow equation and classifies its group-invariant solutions.
Findings
Identified the most general Lie point symmetries of the RNC flow equation.
Classified the group-invariant solutions using the adjoint representation.
Enhanced understanding of symmetry properties in natural convection flows.
Abstract
Applying Lie symmetry method, we find the most general Lie point symmetries group of the radiation natural convection flow equation(RNC). Looking the adjoint representation of the obtained symmetry group on its Lie algebra, we will find the preliminary classification of its group-invariant solutions.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Numerical methods for differential equations