Motivated by the roll-switching behavior observed in rotating Rayleigh-Benard convection, we define a Küppers-Lortz (K-L) state as a volume-preserving flow with periodic roll switching. For an individual roll state, the Lagrangian particle trajectories are periodic. In a system with roll-switching, the particles can exhibit three-dimensional, chaotic motion. We study a simple phenomenological m...

A new algorithm is introduced to compute finite-amplitude states using primitive variables for Rayleigh-Benard convection on relatively coarse meshes. The algorithm is based on a finite-difference matrix-splitting approach that separates all physical and dimensional effects into one-dimensional subsets. The nonlinear pattern selection process for steady convection in an air-filled square cavity...

Abstract Research on natural convection is exciting in some experimental and numerical cases, especially rectangular cavities with relatively low heat dissipation thermal control systems cost, reliability, ease of use. The present study will use the meshless radial basis function method to solve velocity formulation Navier–Stokes equations by varying nominal Rayleigh numbers 10 4 , 5 6 . accura...

Control strategy on Rayleigh-Benard convection in rotating nanofluids saturated anisotropic porous layer heated from below is studied the presence of uniformly internal heat source for rigid-rigid, free-free, and lower-rigid upper-free boundaries. Feedback control with an array sensors situated at top plate actuators located bottom are considered this study. Linear stability analysis based norm...

In the present paper a simple dynamical model for computing the osmotically driven fluid flow in a variety of complex, non equilibrium situations is derived from first principles. Using the Oberbeck-Boussinesq approximation, the basic equations describing the process of forward osmosis have been obtained. It has been shown that these equations are very similar to the ones used to model the free...

Repercussions of uniform/non-uniform thermal gradients such as linear, parabolic, inverted piecewise linear gradient heated from below (PLHB), cooled above (PLCA) and step function (SF) in conjunction with magnetic flux on the onset Darcy-Rayleigh-Benard-Marangoni (DRBMM) convection a composite layer involving incompressible fluid holding horizontal adiabatic boundaries, rigid beneath porous fr...