Toward a new simple analytical formulation of Navier-Stokes equations

Gunawan Nugroho; Ahmed M.S. Ali; Zainal A.Abdul Karim

Toward a new simple analytical formulation of Navier-Stokes equations

Gunawan Nugroho^*, Ahmed M.S. Ali, Zainal A.Abdul Karim

^*Corresponding author for this work

Universiti Teknologi Petronas

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	197-201
Number of pages	5
Journal	World Academy of Science, Engineering and Technology
Volume	39
Publication status	Published - Mar 2009
Externally published	Yes

Keywords

Navier-Stokes equations
Potential function
Turbulent flows

Cite this

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title = "Toward a new simple analytical formulation of Navier-Stokes equations",

abstract = "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.",

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AU - Ali, Ahmed M.S.

AU - Karim, Zainal A.Abdul

PY - 2009/3

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N2 - 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.

AB - 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.

KW - Navier-Stokes equations

KW - Potential function

KW - Turbulent flows

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JF - World Academy of Science, Engineering and Technology

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Toward a new simple analytical formulation of Navier-Stokes equations

Abstract

Keywords

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