Linear stability of double diffusive convection of Darcy-Maxwell fluid with Soret and Dufour effects is investigated. The effects of the Soret and Dufour numbers, Lewis number, relaxation time and solutal Darcy Rayleigh number on the stationary and oscillatory convection are presented graphically. The Dufour number enhances the stability of Darcy-Maxwell fluid for stationary convection while it...

The onset of dynamo action is investigated within the context of a newly developed low Rossby, low magnetic Prandtl number, convection-driven dynamo model. This multiscale model represents an asymptotically exact form of an α^{2} mean field dynamo model in which the small-scale convection is represented explicitly by finite amplitude, single mode solutions. Both steady and oscillatory convectio...

This computational study investigates the nonlinear dynamics of unstable convection in a 2D thermal convection loop (i.e., thermosyphon) with heat flux boundary conditions. The lower half of the thermosyphon is subjected to a positive heat flux into the system while the upper half is cooled by an equal-butopposite heat flux out of the system. Water is employed as the working fluid with fully te...

Motivated by the observation of spiral patterns in a wide range of physical, chemical, and biological systems, we present an automated approach that aims at characterizing quantitatively spiral-like elements in complex stripe-like patterns. The approach provides the location of the spiral tip and the size of the spiral arms in terms of their arc length and their winding number. In addition, it ...

In this short note, we describe a steady-state solution of full y comp ress ible convection wh ich cou ld be used for comparisons wit h those obtained with the lat ti ce gas approach. T his solution has been obtained wi th a pse udospectral code. It consists of two steady rolls at a maximum Mach number of 0.60 an d at a maximum Reynolds numbe r of 700 . Slip boundary cond it ions for the veloci...

A numerical study of the natural convection of the laminar heat transfers in the stationary state was developed in a horizontal ring and compared between a heated trapezoidal internal cylinder and a cold elliptical outer cylinder. This annular space is traversed by a Newtonian and incompressible fluid. The Prandtl number is set to 0.7 (air case) for different Rayleigh numbers. The system of equ...

Penetrative convection is investigated in a porous medium bounded above by the ocean bed and below by the interface of the thawing permafrost ground. Such convection ow is observed oo the coast of Alaska. The physical model for the thawing subsea permafrost is that of Harrison and Swift 8], with the eld variables: the brine velocity, the temperature and the salinity. We simplify the problem by ...

In the present attempt, flow behavior and thermal convection of one type of nanofluids in a disc geometry was investigated using Computational Fluid Dynamics (CFD). Influence of gravity induced sedimentation also has been studied. The commercial software, Fluent 6.2, has been employed to solve the governing equations. A user defined function was added to apply a uniform external ma...

The use of lattice gas (cellular automaton) models has recently been advocated as an interesting method for the simulat ion of fluid flow . Th ese automata are an idealizat ion of the real microscopic molecula r dynamics. We present a model derived from the hexagonal lat t ice gas ru les of Frisch Hasslacher and Pomea u (FHP) that incorporates buoyant forces and d iscusses its prope rt ies. We ...