Analytical Solutions for Navier-Stokes Equations in the Cylindrical Coordinates

Adanhounme, V.; Adomou, A.; Codo, F. P.

doi:10.18052/www.scipress.com/bsmass.2.16

Cited by 2 publications

(2 citation statements)

References 5 publications

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“…Many research papers and books has been devoted to the applications of Navier-stokes equations of various degree. Among others see the literatures: Adanhoume [1], studied analytical solution for Navier-stokes equations in the cylindrical coordinates. Adigun [2], gives solution of hydro magnetic flow and heat, transfer past on exponentially stretching permeable vertical heating effect.…”

Section: Original Research Articlementioning

confidence: 99%

Application of Navier – Stokes Equation to Solve Fluid Flow Problems

Peter

Bala

2020

JAMCS

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The Navier – Stokes equations were used to obtain the velocity profile for two different fluid flow problems, firstly to a laminar flow through a pipe and secondly to flow of incompressible fluid between two boundaries, one boundary is the air and the other boundary moving with a velocity, inclined at an angle . The velocity profiles were obtained and presented in a diagram of showing how the fluid flow through the channels.

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Section: Original Research Articlementioning

confidence: 99%

Application of Navier – Stokes Equation to Solve Fluid Flow Problems

Peter

Bala

2020

JAMCS

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“…Thus the Navier Stokes equations which describe the flow problem must be addressed inorder to determine if the 3-D velocity components exhibit wave-like characteristics. The Navier Stokes equations have been dealt with extensively in the literature for both analytical [1,2] and numerical solutions [3,4]. The level set method, has been used originally as a numerical technique for tracking interfaces and shapes [5,6] and has been increasingly applied to various areas of engineering and applied mathematics.…”

Section: Introductionmentioning

confidence: 99%

A New Analytical Procedure to Solve Two Phase Flow in Tubes

Moschandreou

2018

MCA

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Abstract:A new formulation for a proposed solution to the 3D Navier-Stokes Equations in cylindrical co-ordinates coupled to the continuity and level set convection equation is presented in terms of an additive solution of the three principle directions in the radial, azimuthal and z directions of flow and a connection between the level set function and composite velocity vector for the additive solution is shown. For the case of a vertical tube configuration with small inclination angle, results are obtained for the level set function defining the interface in both the radial and azimuthal directions. It is found that the curvature dependent part of the problem alone induces sinusoidal azimuthal interfacial waves whereas when the curvature together with the equation for the composite velocity is considered oscillating radial interfacial waves occur. The implications of two extremes indicate the importance of looking at the full equations including curvature.

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Analytical Solutions for Navier-Stokes Equations in the Cylindrical Coordinates

Cited by 2 publications

References 5 publications

Application of Navier – Stokes Equation to Solve Fluid Flow Problems

Application of Navier – Stokes Equation to Solve Fluid Flow Problems

A New Analytical Procedure to Solve Two Phase Flow in Tubes

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