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Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, 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-Stokes equations and heat equation. The mathematical problem under consideration is obtained by modelling the natural convection of an incompressible fluid, in laminar flow between two horizontal concentric coaxial cylinders, the temperature of the inner cylinder is supposed to be greater than the outer one. The numerical simulation of the flow is carried out by collocation-Legendre method. The influence of Prandtl and Rayleigh numbers is investigated

Keywords

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

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