Issue |
Math. Model. Nat. Phenom.
Volume 5, Number 7, 2010
JANO9 – The 9th International Conference on Numerical Analysis and Optimization
|
|
---|---|---|
Page(s) | 23 - 28 | |
DOI | https://doi.org/10.1051/mmnp/20105704 | |
Published online | 26 August 2010 |
Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers
1
EMI, Mohamed V University
Ibn Sina Str., POB 765 Agdal,
Rabat, Morocco
2
Royal Air School, Mathematics and Informatics Department,
BEFRA, Marrakech,
Morocco
* Corresponding author: E-mail:
cheddadi@emi.ac.ma
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
Mathematics Subject Classification: 76M22 / 80M25
Key words: Navier-Stokes equations / heat equation / collocation-Legendre method / Crank-Nicholson method
© EDP Sciences, 2010
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