Spatially localized states in natural doubly diffusive convection
نویسندگان
چکیده
Numerical continuation is used to compute a multiplicity of stable spatially localized steady states in doubly diffusive convection in a vertical slot driven by imposed horizontal temperature and concentration gradients. The calculations focus on the so-called opposing case, in which the imposed horizontal thermal and solutal gradients are in balance. No-slip boundary conditions are used at the sides; periodic boundary conditions with large spatial period are used in the vertical direction. The results demonstrate the presence of homoclinic snaking in this system, and can be interpreted in terms of a pinning region in parameter space. The dynamics outside of this region are studied using direct numerical simulation. © 2008 American Institute of Physics. DOI: 10.1063/1.2837177
منابع مشابه
Eckhaus instability and homoclinic snaking.
Homoclinic snaking is a term used to describe the back and forth oscillation of a branch of time-independent spatially localized states in a bistable, spatially reversible system as the localized structure grows in length by repeatedly adding rolls on either side. This behavior is simplest to understand within the subcritical Swift-Hohenberg equation, but is also present in the subcritical regi...
متن کاملOscillatory convection in binary mixtures: thermodiffusion, solutal buoyancy, and advection.
The role of thermodiffusive generation of concentration fluctuations via the Soret effect, their contribution to the buoyancy forces that drive convection, the advective mixing effect of the latter, and the diffusive homogenisation are compared and elucidated for oscillatory convection. Numerically obtained solutions of the field equations in the form of spatially extended relaxed traveling wav...
متن کاملEntropy Generation of Double Diffusive Natural Convection in a Three Dimensional Differentially Heated Enclosure
Entropy generation of double diffusive natural convection in a three dimensional differentially heated enclosure has been performed numerically. Vertical walls of enclosure are heated differentially and remaining walls are adiabatic. The obtained results were presented via iso-concentration, iso-temperatures, velocity vector projection, particle trajectories, velocity profiles, iso-entropy, loc...
متن کاملNumerical modelling of double-diffusive natural convection within an arc shaped enclosure filled with a porous medium
Numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. Polar system has beenselected as coordinate system. As a result, all equations have been discredited in r and θdirections. Brinkmann extended Darcy model has been utilized to express fluid flow inporous matrix in the enclosure. Smaller and...
متن کامل