Rayleigh–Benard convection in rotating fluids
作者: S.G. TagareA. Benerji BabuY. Rameshwar
作者单位: 1Department of Mathematics, Addis Ababa University, Addis Ababa, P.O. Box 1176, Ethiopia
2Department of Mathematics, Osmania University, Hyderabad 500 007, India
刊名: International Journal of Heat and Mass Transfer, 2007, Vol.51 (5), pp.1168-1178
来源数据库: Elsevier Journal
DOI: 10.1016/j.ijheatmasstransfer.2007.03.052
关键词: Stationary and oscillatory convectionCoriolis forceBifurcation pointsLandau–Ginzburg equationTravelling and standing wave convection
英文摘要: Abstract(#br)Linear and weakly nonlinear properties of Rayleigh–Benard convection in rotating fluids are investigated. Linear stability analysis is studied to investigate analytically the effect of Coriolis force on gravity-driven convection for idealised stress-free boundary conditions. We have derived a nonlinear one-dimensional Landau–Ginzburg equation with real coefficients near the onset of stationary convection at the supercritical pitchfork bifurcation. A coupled Landau–Ginzburg type equations with complex coefficients near the onset of oscillatory convection at the supercritical Hopf bifurcation are derived and discussed the stability regions of travelling and standing waves.
全文获取路径: Elsevier  (合作)