Bulletin KRASEC. Phys. & Math. Sci. 2017. vol. 16, issue. 1. pp. 34-44. ISSN 2313-0156

DOI: 10.18454/2313-0156-2017-16-1-34-44

MSC 35R01, 76M60, 17B66.

SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLE FLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS

M. Nadjafikhah¹, S. R. Hejazi²

¹Iran University of Science and Technology, Tehran, Iran.
²Shahrood University of Technology, Shahrood, Semnan, Iran.
E-mail: m_nadjafikhah@iust.ac.ir, ra.hejazi@gmail.com

Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations. Lie symmetry group method is applied to study Newtonian incompressible fluid’s equations flow in turbulent boundary layers. The symmetry group and its optimal system are given, and group invariant solutions associated to the symmetries are obtained. Finally the structure of the Lie algebra such as Levi decomposition, radical subalgebra, solvability and simplicity of symmetries is given.

Key words: Fluid mechanics, Lie symmetry, Partial differential equation, Shear stress, Optimal system

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For citation: Nadjafikhah M., Hejazi S.R. Symmetry classification of newtonian incompressible fluid’s equations flow in turbulent boundary layers. Bulletin KRASEC. Physical and Mathematical Sciences 2017, vol. 16, issue 1, 34-44. DOI: 10.18454/2313-0156-2017-16-1-34-44.

Original article submitted: 04.01.2017

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   Nadjafikhah Mehdi – Ph.D. (Phys. & Math.), Department of Mathematical Sciences, Iran University of Science and Technology, Tehran, Iran.

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Hejazi Reza Seyed – Ph.D. (Differential Geometry), Assist. Profes  sor, Department of Mathematics Sciences, University of Shahrood, Shahrood, Semnan, Iran.

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