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Toward a New Simple Analytical Formulation of Navier-Stokes Equations

Authors: Gunawan Nugroho, Ahmed M. S. Ali, Zainal A. Abdul Karim


Incompressible Navier-Stokes equations are reviewed in this work. Three-dimensional Navier-Stokes equations are solved analytically. The Mathematical derivation shows that the solutions for the zero and constant pressure gradients are similar. Descriptions of the proposed formulation and validation against two laminar experiments and three different turbulent flow cases are reported in this paper. Even though, the analytical solution is derived for nonreacting flows, it could reproduce trends for cases including combustion.

Keywords: Turbulent flows, Navier-Stokes equations, potential function

Digital Object Identifier (DOI):

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