An analytical study is conducted to examine the coupling between buoyancy and surface tension forces in a shallow pool of a Boussinesq fluid. The liquid layer is bounded below by a rigid and poorly conducting plate, and is open to the air at its upper deformable free surface. At the onset of convection, the coupling between buoyancy and surface-tension-induced instabilities is represented by a ...

This paper formulates a model of mixing in a stratified and turbulent fluid. The model uses the horizontally averaged vertical buoyancy gradient and the density of turbulent kinetic energy as variables. Heuristic ‘mixing-length’ arguments lead to a coupled set of parabolic differential equations. A particular form of mechanical forcing is proposed; for certain parameter values the relationship ...

Introduction: Academic buoyancy is one of the effective variables in the field of education and learning environment of students. Therefore, the aim of this study was to design a model of academic buoyancy based on life expectancy mediated by happiness in female high school students in Hamadan. Method: The research method was correlational and structural equations. The statistical population in...

In this paper, the problem of unsteady mixed convection boundary layer flow of a viscous incompressible fluid near the stagnation-point on a vertical permeable plate with both cases of prescribed wall temperature and prescribed wall heat flux is investigated numerically. Here, both assisting and opposing buoyancy forces are considered and studied. The non-linear coupled partial differential equ...

The dynamics and bifurcations of convective waves in rotating and buoyancy-driven spherical Rayleigh-Bénard convection are investigated numerically. The solution branches that arise as rotating waves (RWs) are traced by means of path-following methods, by varying the Rayleigh number as a control parameter for different rotation rates. The dependence of the azimuthal drift frequency of the RWs o...

The flow near the trailing edge of a horizontal heated plate which is aligned under a small angle of attack φ to the oncoming parallel flow with velocity U∞ in the limit of large Reynolds Re and large Grashof Gr = gβ∆TL3/ν2 number will be investigated (see figure 1). As usual β and ν denote the isobaric expansion coefficient and the kinematic viscosity, respectively. The difference between the ...

Phytoplankton cells have evolved sophisticated strategies for actively responding to environmental signals, most notably to mechanical stresses of hydrodynamic origin. A largely unanswered question, however, is the significance of these cellular responses for the largely heterogeneous spatial distribution of cells found in the oceans. Motivated by the physiological regulation of buoyancy preval...

Convection refers to fluid motion that is induced by buoyancy. In thermal convection buoyancy is due to temperature differences and one of the interesting questions is how much of the total heat transfer is due to convection. The natural measure of this quantity is the Nusselt number, N , and many experiments and numerical simulations have been performed to discern the relationship between N an...

The steady two-dimensional MHD heat transfer mixed convection flow of a viscous incompressible fluid near a stretching permeable sheet in presence of a uniform magnetic field with heat generation is considered when the buoyancy force assists or opposes the flow. The equations governing the flow and temperature fields are reduced to a system of coupled non-linear ordinary differential equations....

It has been recently reported that a granular mixture in which grains differ in their restitution coefficients presents segregation: the more inelastic particles sink to the bottom. When other segregation mechanisms as buoyancy and the Brazil nut effect are present, the inelasticity induced segregation can compete with them. First, a detailed analysis, based on numerical simulations of two dime...