The development of immiscible viscous fingering patterns in a rotating Hele-Shaw cell is investigated. We focus on understanding how the time evolution and the resulting morphologies are affected by the action of the Coriolis force. The problem is approached analytically and numerically by employing a vortex sheet formalism. The vortex sheet strength and a linear dispersion relation are derived...

Energy equation for turbulent flow in a rotating system was derived in terms of second order correlation tensors, where the correlation tensors were functions of space coordinates, distance between two points and time. To reveal the relationship of turbulent energy between two points, one point was taken as origin of the coordinate system. Due to rotation, the Coriolis force played an important...

energy equation for turbulent flow in a rotating system was derived in terms of second order correlation tensors, where the correlation tensors were functions of space coordinates, distance between two points and time. to reveal the relationship of turbulent energy between two points, one point was taken as origin of the coordinate system. due to rotation, the coriolis force played an important...

2.1 Structure of the atmospheric boundary layer Wind is moving air caused by pressure differences in the atmosphere, initiated by temperature differences. At large heights (~1000 m) the wind is not perpendicular to the isobars but parallel to it due to the Coriolis force (perpendicular to the wind direction, caused by the rotation of the earth). This wind is denoted the geostrophic wind. G : pr...

Vesta’s giant south polar impact basin Rheasilvia exhibits a spiral deformation pattern. We tested whether or not the Coriolis force has caused the curved features of the pattern. For this we mapped the curved features and calculated the velocities along them using the Coriolis theory. The resulting velocities indicate that the Coriolis force is a candidate to have caused the spiral deformation...

The problems of equilibrium structures and periods of oscillations of rotationally and/or tidally distorted polytropic models of stars in binary systems have been studied previously. In the studies, only the effects of gravitational and centrifugal forces while obtaining the Roche equipotential of such stars were considered. The Coriolis force were not considered. In the present study, we have ...

Experiments and simulations from a variety of sample sizes indicated that the centrifugal force significantly affects the domain-chaos state observed in rotating Rayleigh-Bénard convection-patterns. In a large-aspect-ratio sample, we observed a hybrid state consisting of domain chaos close to the sample center, surrounded by an annulus of nearly stationary nearly radial rolls populated by occas...

pressurized irrigation technologies of course have the potential to raise the productivity of land and water; but, these technologies could not popularize among the smallholders who own millions of farms worldwide. in developing pressurized irrigation technologies, particularly for field crops irrigation, researchers and manufacturers have developed more specialized and expensive technologies w...

Defining the four vectors n and τ of Abramowicz’s covariant formalism of inertial forces, in terms of the lapse function α, shift vector β, the metric γij and the velocity 3-vector V , we derive the components of centrifugal and Coriolis accelerations acting on a fluid element with four velocity U. We show that while for purely radial flow the centrifugal acceleration component is zero in stati...