Various numerical boundary condition methods have been proposed to simulate various aspects of the no-slip wall condition using the Lattice Boltzmann Method. In this paper, a new boundary condition scheme is developed to model the no-slip wall condition in the presence of the body force term near the wall which is based on the Bennett extension. The error related to the new model is smaller tha...

An anisotropic horizontal porous layer saturated with viscoelastic liquids of the Oldroyd-B type is explored to determine how internal heat source affects thermal convection. As a momentum equation, modified Darcy–Oldroyd model used that takes into account anisotropy layer. The energy equation formulated in such way influence sources and diffusivity on stability criterion may be easily identifi...

Research has been carried out with a device to observe the phenomenon of Rayleigh Benard convection, made glass box bounded by lower plate and an upper plate. The bottom is hotter than top which functions heat horizontal fluid layer from below. This study aims water molecule movement. observation medium was mixed teak sawdust as representation particles average density mean=0.99 g/cm3. variatio...

We study the kinetics of phase transitions in a Rayleigh-Benard system after onset of convection using 2D Swift-Hohenberg equation. An initially uniform state evolves to one whose ground state is spatially periodic. We confirmed previous results which showed that dynamical scaling occurs at medium quench (ǫ = 0.25) with scaling exponents 1/5 and 1/4 under zero noise and finite noise respectivel...

Limit theorems for the time average of some observation functions in an infinite measure dynamical system are studied. It is known that intermittent phenomena, such as the Rayleigh-Benard convection and Belousov-Zhabotinsky reaction, are described by infinite measure dynamical systems. We show that the time average of the observation function which is not the L(m) function, whose average with r...

We recently have reported [J. Chem. Phys. 122, 164701 (2005)] a family of electroconvective patterns that arise when charge-stabilized colloidal dispersions are driven by constant (dc) vertical electric fields. Competition between gravity and electrokinetic forces acting on the individual spheres in this system leads to the formation of highly organized convective instabilities involving hundre...

Double diffusive convection is the phenomena that describes driven by two differ-ent densities which have different rates of diffusion. A comparison temperature boundaries when i) both surfaces are set at adiabatic temperature, and ii)upper free surface lower rigid isothermal cases, on tension double in a horizontal composite layer studied analytically using exact method. For cases ii), thermal...