3D computer simulation of Rayleigh-Benard instability in a square box. (5th August 2010)

• Record Type: Journal Article
• Authors: Fedoseev, E.E.; Kolmychkov, V.V.; Mazhorova, O.S.
• Is Part Of: Progress in computational fluid dynamics. Volume 10:Number 4(2010)
• Page Start: 208
• Page End: 217
• Publication Date: 2010-08-05
• Subjects: convective instability -- computer simulation -- Rayleigh-Bernard convection -- roll pattern -- skewed varicose instability -- oscillatory convection -- spiral defect chaos -- stability -- electrically conducting fluids -- uniform external magnetic field -- internal heating -- variable material properties -- convective flow; Fluid dynamics -- Data processing -- Periodicals; Fluid dynamics -- Mathematics -- Periodicals; 620.10640285
• Languages: English
• ISSNs: 1468-4349

Abstract

The paper presents the numerical study for Rayleigh-Benard convection in a square box with rigid boundaries. The process is described by 3D time-dependent Navier-Stokes and heat transfer equations. The liquid is supposed to be incompressible and Boussinesq approximation is adopted. At initial moment temperature field is disturbed with two dimensional disturbance in the form 0.02 cos(k0x), where k0 is initial wave number. The flow pattern evolution is analysed for different Rayleigh number (Ra) values with respect to k0. Computer simulation has been done for 1.7 × 103 < Ra < 1.1 × 104, Pr = 0.71; 1, 0.5 < k0 < 5.5. Skewed varicose, oscillatory, spiral defect chaos instabilities have been registered. Also convection of the fluids with the temperature dependent physical properties and internal heating, convective instability of electrically conducting fluid in the presence of a static magnetic field are studied. It provides an additional possibility to control convective flow in Rayleigh-Bernard problem.