Finite settling time control of the double integrator is considered. The approach taken is to design a compensator based on a virtual lossless absorber which is tuned so that, at some predetermined time, the virtual subsystem possesses all of the system’s energy. At this time the controller is turned off, and the double integrator remains at rest at the origin. This strategy gives the appearanc...

Experiments were conducted to measure the dendrite tip growth velocities of equiaxed dendritic crystals settling in an undercooled succinonitrile (SCN)-acetone melt. The tip velocities were measured as a function of the settling speed of the crystal and the Eulerian angle between the dendrite arms and the flow direction relative to the crystal. The average of the measured tip growth velocities ...

Experiments of particle-laden inclined film flow [Zhou, Dupuy, Bertozzi, and Hosoi, Phys. Rev. Lett. 94 (2005)] have displayed different settling behaviors depending on the particle concentration φ and angle of inclination θ, in which particles accumulate on the substrate or near the advancing contact line, or remain mixed. Zhou et al. presented a lubrication model that captures the qualitative...

The effect of the type of oil, types of alcohol and the alcohol concentration on the settling behaviour of glycerol during biodiesel production is discussed in the current paper. Biodiesel production was performed by transesterification using 0.58 % sodium hydroxide (NaOH) as a basic catalyst at 60°C and 20 min of reaction time. The yield of biodiesel produced in each experiment was separated f...

We describe a Gröbner basis of relations among conditional probabilities in a discrete probability space, with any set of conditioned-upon events. They may be specialized to the partially-observed random variable case, the purely conditional case, and other special cases. We also investigate the connection to generalized permutohedra and describe a “conditional probability simplex.” 1 Relations...

This article deals with experimental and theoretical studies of the sedimentation of polydisperse agarose beads with broad particle size distributions. A light-extinction principle was used to measure the variation of solid concentration in the suspension with time and settling distance. Di4erent experimental conditions have been used to show the in5uence of solid concentration and liquid densi...

Design of primary settling tank has historically been done more empirically than rationally. The main reason for this is a lack of understanding of what pollutants primary settling tank are capable of removing. Inlets should be designed to dissipate the kinetic energy or velocity head of the mixed liquor. They should be able to distribute the flow equally in vertical and horizontal directions. ...