The motion of a buoyant inviscid drop rising vertically along the rotation axis of a rapidly rotating low viscosity tluid bounded above and below by rigid horizontal boundaries is considered in the case that the drop is circumscribed by a Taylor column that spans the entire fluid depth. Both the shape and steady rise speed of the drop are deduced as a function of the interfacial tension. The an...

a lattice boltzmann method is applied to demonstrate the comparison results of simulating natural convection in an open end cavity using different hydrodynamic and thermal boundary conditions. the prandtl number in the present simulation is 0.71, rayleigh numbers are 104,105 and 106 and viscosities are selected 0.02 and 0.05. on-grid bounce-back method with first-order accuracy and non-slip met...

The study of the dynamic behavior of a rigid body with one fixed point (gyroscope) has a long history. A number of famous mathematicians and mechanical engineers have devoted enormous time and effort to clarify the role of dynamic effects on its movement (behavior) – stable, periodic, quasi-periodic or chaotic. The main objectives of this review are: 1) to outline the characteristic features of...

Vertically neutral collapse of a pulsating bubble occurs when the boundaries above or below balance buoyancy effect over pulsation. In this study, vertically near vertical rigid wall free surface is investigated. The boundary integral method (BIM) employed to model dynamics with an open-domain surface. Moreover, validated against several buoyant experiments. Bubble in such conditions are associ...