Nonlinear thermohaline convection in rotating fluids

• Published in: International journal of heat and mass transfer 2007-07, Vol.50 (15), p.3122-3140
• Main Authors: Tagare, S.G., Ramana Murthy, M.V., Rameshwar, Y.
• Format: Article
• Language: English
• Subjects: Bifurcation points; Earth, ocean, space; Exact sciences and technology; External geophysics; Fluid dynamics; Fundamental areas of phenomenology (including applications); Geophysics. Techniques, methods, instrumentation and models; Hydrodynamic stability; Nonlinearity (including bifurcation theory); Nusselt number; Physics; Thermohaline convection; Travelling and standing wave convection and secondary instabilities
• ISSN: 0017-9310; 1879-2189
• DOI: 10.1016/j.ijheatmasstransfer.2006.11.037

Linear and weakly nonlinear properties of thermohaline convection in rotating fluids are investigated. Linear stability analysis is studied by plotting graphs for different values of physical parameters relevant to the Earth’s outer core and oceans. We have derived a nonlinear two-dimensional Landau–Ginzburg equation with real coefficients near the onset of stationary convection at the supercritical pitchfork bifurcation and shown the occurrence of Eckhaus and zigzag instabilities. We have studied heat transfer by using Nusselt number which is obtained from Landau–Ginzburg equation at the onset of stationary convection for the steady case. A coupled two-dimensional Landau–Ginzburg type equations with complex coefficients near the onset of oscillatory convection are derived and the stability regions of travelling and standing waves discussed.