A numerical study is performed to analysis the buoyancy convection induced by the parallel heated baffles in an inclined square cavity. The two side walls of the cavity are maintained at a constant temperature. A uniformly thin heated plate is placed at the centre of the cavity. The horizontal top and bottom walls are adiabatic. Numerical solutions of governing equations are obtained using the ...

Centrifugal microfluidic systems bear great potential for applications where ruggedness, portability, ease-of-use, and cost efficiency are critical. However, due to the unidirectional nature of the centrifugal pumping force, the number of sequential process steps which can be integrated on these “Lab-on-a-Disc” (LoaD) devices is limited by their finite radial extension. To significantly widen t...

In this paper we present a method of buoyancy-driven centripetal pumping utilizing a heavy, waterimmiscible liquid to displace an aqueous sample radially inwards against the prevailing centrifugal force. Using formerly introduced dissolvable-film valving, we demonstrate metering and bidirectional periodical pumping of a single sample in the radial direction. We then show integrated sample discr...

The effects of partial slip on stagnation-point flow and heat transfer due to a stretching vertical sheet is investigated. Using a similarity transformation, the governing partial differential equations are reduced into a system of nonlinear ordinary differential equations. The resulting equations are solved numerically using a shooting method. The effect of slip and buoyancy parameters on the ...

Rotating convection is analysed numerically in a cylinder of aspect ratio one, for Prandtl number about 7. Traditionally, the problem has been studied within the Boussinesq approximation with density variation only incorporated in the gravitational buoyancy term and not in the centrifugal buoyancy term. In that limit, the governing equations admit a trivial conduction solution. However, the cen...

We investigate the problem of free convection heat transfer near an isothermal stretching sheet. This has been done under the simultaneous action of buoyancy, radiation, and transverse magnetic field. The governing equations are solved by the shooting method. The velocity and temperature functions are represented graphically for various values of the flow parameters: radiation parameter F, free...

Cold mantle lithosphere is gravitationally unstable with respect to the hotter buoyant asthenosphere beneath it, leading to the possibility that the lower part of the mantle lithosphere could sink into the mantle in convective downwelling. Such instabilities are driven by the negative thermal buoyancy of the cold lithosphere and retarded largely by viscous stress in the lithosphere. Because of ...

It is well known that along-isobath flow above a sloping bottom gives rise to cross-isobath Ekman transport and therefore sets up horizontal density gradients if the ocean is stratified. These transports in turn eventually bring the along-isobath bottom velocity, hence bottom stress, to rest (‘‘buoyancy arrest’’) simply by means of the thermal wind shear. This problem is revisited here. A modif...

Subducted lithosphere and crust are chem1cally d1stinct from amb1ent mantle, and some have hypoth.,sized that the result1ng anomdlous buoyancy may affect m1x1ng and, in particular, may CciUSe chem1cal heterogeneity topers ist. To explore th1s effect, two-dimensional convective mix1ng calculations have been carried out. Boundary cond1tions m1micking features of plate kinematics have been imposed...

Most models of astrophysical flows employ a ``sound-proof'' approximation, such as the Boussinesq, anelastic, and pseudo-incompressible models, which remove acoustic waves from governing equations. Here, we address accuracy each these for describing magnetic buoyancy in solar interior. We introduce general sound-proof model compare its behavior to that fully compressible system within range ast...