Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers
Mathematical Modelling of Natural Phenomena (2010)
- Volume: 5, Issue: 7, page 23-28
- ISSN: 0973-5348
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topEl Guarmah, E., and Cheddadi, A.. Taik, A., ed. "Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers." Mathematical Modelling of Natural Phenomena 5.7 (2010): 23-28. <http://eudml.org/doc/197648>.
@article{ElGuarmah2010,
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},
author = {El Guarmah, E., Cheddadi, A.},
editor = {Taik, A.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {Navier-Stokes equations; heat equation; collocation-Legendre method; Crank-Nicholson method},
language = {eng},
month = {8},
number = {7},
pages = {23-28},
publisher = {EDP Sciences},
title = {Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers},
url = {http://eudml.org/doc/197648},
volume = {5},
year = {2010},
}
TY - JOUR
AU - El Guarmah, E.
AU - Cheddadi, A.
AU - Taik, A.
TI - Spectral Numerical Study of a Problem Governed by Navier-Stokes Equations, Influence of Rayleigh and Prandtl Numbers
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/8//
PB - EDP Sciences
VL - 5
IS - 7
SP - 23
EP - 28
AB - 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
LA - eng
KW - Navier-Stokes equations; heat equation; collocation-Legendre method; Crank-Nicholson method
UR - http://eudml.org/doc/197648
ER -
References
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