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Spectral Numerical Study of a Problem Governed by Navier-StokesEquations, Influence of Rayleigh and Prandtl Numbers

Published online by Cambridge University Press:  26 August 2010

A. Taik ,
E. El Guarmah  and
A. Cheddadi
E. El Guarmah
Affiliation:
EMI, Mohamed V University Ibn Sina Str., POB 765 Agdal, Rabat, Morocco Royal Air School, Mathematics and Informatics Department, BEFRA, Marrakech, Morocco
A. Cheddadi
Affiliation:
EMI, Mohamed V University Ibn Sina Str., POB 765 Agdal, Rabat, Morocco
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Abstract

We present in this work a numerical study of a problem governed by Navier-Stokesequations and heat equation. The mathematical problem under consideration is obtained bymodelling the natural convection of an incompressible fluid, in laminar flow between twohorizontal concentric coaxial cylinders, the temperature of the inner cylinder is supposedto be greater than the outer one. The numerical simulation of the flow is carried out bycollocation-Legendre method. The influence of Prandtl and Rayleigh numbers isinvestigated

Keywords

Navier-Stokes equationsheat equationcollocation-Legendre methodCrank-Nicholson method
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 7: JANO9 – The 9thInternational Conference on Numerical Analysis and Optimization , 2010 , pp. 23 - 28
Copyright
© EDP Sciences, 2010

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