Nonlinear Bifurcations to Time-dependent Rayleigh?Benard Convection
نویسندگان
چکیده
منابع مشابه
Bifurcations in a convection problem with temperature-dependent viscosity
A convection problem with temperature-dependent viscosity in an infinite layer is presented. As described, this problem has important applications in mantle convection. The existence of a stationary bifurcation is proved together with a condition to obtain the critical parameters at which the bifurcation takes place. For a general dependence of viscosity with temperature a numerical strategy fo...
متن کاملTurbulent convection with time-dependent forcing
A new technique is used to explore the structure of turbulent convecting flows. A sinusoidal temperature perturbation is superimposed on the bottom plate of a cylindrical convection cell filled with cryogenic helium gas and its decay is measured at the cell mid-height. The measurements allow the first dynamic estimate of the core part of the flow which conducts fluid effectively without any the...
متن کاملNormal Forms and Bifurcations of Discrete Time Nonlinear Control Systems
The quadratic and cubic normal forms of discrete time nonlinear control systems are presented. These are the normal forms with respect to the group of state coordinate changes and invertible state feedbacks. We introduce the concept of a control bifurcation for such systems. A control bifurcation takes place at an equilibrium where there is a loss of linear stabilizability in contrast to a clas...
متن کاملTowards adjoint-based inversion of time-dependent mantle convection with nonlinear viscosity
S U M M A R Y We develop and study an adjoint-based inversion method for the simultaneous recovery of initial temperature conditions and viscosity parameters in time-dependent mantle convection from the current mantle temperature and historic plate motion. Based on a realistic rheological model with temperature-dependent and strain-rate-dependent viscosity, we formulate the inversion as a PDE-c...
متن کاملMarangoni convection induced by a nonlinear temperature-dependent surface tension
2014 Marangoni instability in a thin horizontal fluid layer exhibiting a nonlinear dependence of the surfacetension with respect to the temperature is studied. This behaviour is typical of some aqueous long chain alcohol solutions. The band of allowed steady convective solutions is determined as a function of the wavenumber and a new dimensionless number, called the second order Marangoni numbe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Australian Journal of Physics
سال: 1988
ISSN: 0004-9506
DOI: 10.1071/ph880063