A LEAST-SQUARES FINITE ELEMENT METHOD FOR DOUBLY-DIFFUSIVE CONVECTION
作者:
L. Q. TANG,
T. T. H. TSANG,
期刊:
International Journal of Computational Fluid Dynamics
(Taylor Available online 1994)
卷期:
Volume 3,
issue 1
页码: 1-17
ISSN:1061-8562
年代: 1994
DOI:10.1080/10618569408904497
出版商: Taylor & Francis Group
关键词: Least-squares Finite Element Method;doubly-diffusive convection;side-wall diffusion;Rayleigh-Bénard;heating from below
数据来源: Taylor
摘要:
A least-squares finite element method (LSFEM) has been developed to investigate the phenomenon of natural convection caused by temperature and concentration buoyancy effects in rectangular enclosures with different geometric aspect ratios. The time dependent Navier-Stokes equations, the energy and the mass balance equations for an incompressible, constant property fluid in the Boussinesq approximation are reduced into a first-order velocity-pressure-vorticity-temperature-heat flux-concentration-mass flux (u-p-ω-T-q-C-J) formulation. The coupled system is discrelized by backward differencing in time. For the case of heat and mass transfer from side walls, results for both augmenting and opposing flows are obtained with Prandtl numberPr = 0.7, Schmidt numberSc = 0.6 and 0.7 (Le = 1), Grashof numberGrup to 106, buoyancy ratio χ = − 0.2 to − 5.0 and geometric aspect ratio of 1. For the case of heating from below, we test the LSFEM with two Rayleigh-Bénard convection problems. Then the LSFEM algorithm is used to solve the doubly-diffusive convection in a horizontal rectangular cavity heated from below with Grashof number 5.5 x 105and geometric aspect ratio 7.
点击下载:
PDF (378KB)
返 回