“…91, as was mentioned before by many authors (Leonard et al 1980;Shapiro et al 1988). Even though the results shown in Fig.…”
Section: Deposition In a Plate-plate Espmentioning
confidence: 53%
“…First of all, Leonard et al (1980) predicted that the transition with Pe* is really smooth in such a way that the efficiency curve moves up and bent up more and more with Pex increased, and the curves for different Pe* never cross. Also they predicted that the collection efficiency is always higher with smaller diffusivity if only De is the same.…”
Section: Deposition In a Plate-plate Espmentioning
confidence: 99%
“…Then the particle concentration decays exponentially with the flow distance, and the collection efficiency (77) becomes a function of only one dimensionless parameter, the so-called Deutsch number (De), which can be interpreted as the ratio of the flow-time to the migration time. Leonard et al (1980) introduced a uniform but finite particle diffusivity into the governing equation, obtained theoretical solutions for the collection efficiency as a for the local particle velocity is that up is function of Deutsch number and Peclet the sum of fluid velocity (uf) and particle number (Pe).…”
Section: Introductionmentioning
confidence: 99%
“…This boundary condition is, however, thought to be rather artificial (Hassid et al 1987). Later, Cooperman (1984) considered the particle diffusivity in the flow direction to be different from that in the transverse direction, and showed that the models of Deutsch (1922) and Leonard et al (1980) are the special cases of the general theory of Cooperman.…”
Section: Introductionmentioning
confidence: 99%
“…Also there remains another problem of imposing proper boundary conditions on the collector wall. Though a zero concentration or a zero gradient is most popular in literature (Leonard et al 1980(Leonard et al , 1982Cooperman 1984;Hassid et al 1987;Oron et al 19881, the validity of such a boundary condition is in question in many circumstances, one of which is when particles of high momentum penetrate the boundary layer by a strong turbulence. Very recently details of particle dispersion and deposition in a turbulent boundary layer were investigated by the direct Lagrangian simulation of particle motion to find out a few unique phenomena unexplainable by conventional diffusion models (Kallio and Reeks 1989;MacLaughlin 1989;Brooke et al 1992).…”
ABSTRACT. The characteristics of turbulent deposition of charged particles in a plate-plate electrostatic precipitator (ESP) are analyzed by the Lagrangian simulation method which uses the concept of time series analysis for the particle motion in a turbulent flow field. With the advantage of the Lagrangian method, several important parameters are taken into account such as the effect of nonuniform diffusivity on the particle motion and the effects of particle inertia including the crossing trajectory effect, boundary layer trapping and the lift force near the wall. Collection efficiencies are obtained without any simplified treatment for a wide range of Peclet number (Pe*) of interest, where it is found that the collection efficiency is mainly the function of Pe* and Deutsch number, and the dependency on particle relaxation time is negligible in the range about Pe* > 0.1. Moreover, the characteristics of deposition at the intermediate Pe* is analyzed clearly, where both the diffusion and migration by external force play an important role on the deposition. AEROSOL SCIENCE AND TECHNOLOGY 25:31-45 (1996)
INTRODUCTIONModelling the deposition of charged particles in a turbulent flowfield has been the research theme for a long time in relation to the electrostatic precipitator (ESP) (White, 1963;Bohm, 1982), and most of the previous works have relied upon the Eulerian approach, solving the convective diffusion equation for particle concentration with various models of flowfield, diffusion coefficient and boundary conditions. The variety of deposition models developed hitherto are differentiated by the degree of sophistication in the submodels for flow field, diffusion coefficient and boundary conditions.
“…91, as was mentioned before by many authors (Leonard et al 1980;Shapiro et al 1988). Even though the results shown in Fig.…”
Section: Deposition In a Plate-plate Espmentioning
confidence: 53%
“…First of all, Leonard et al (1980) predicted that the transition with Pe* is really smooth in such a way that the efficiency curve moves up and bent up more and more with Pex increased, and the curves for different Pe* never cross. Also they predicted that the collection efficiency is always higher with smaller diffusivity if only De is the same.…”
Section: Deposition In a Plate-plate Espmentioning
confidence: 99%
“…Then the particle concentration decays exponentially with the flow distance, and the collection efficiency (77) becomes a function of only one dimensionless parameter, the so-called Deutsch number (De), which can be interpreted as the ratio of the flow-time to the migration time. Leonard et al (1980) introduced a uniform but finite particle diffusivity into the governing equation, obtained theoretical solutions for the collection efficiency as a for the local particle velocity is that up is function of Deutsch number and Peclet the sum of fluid velocity (uf) and particle number (Pe).…”
Section: Introductionmentioning
confidence: 99%
“…This boundary condition is, however, thought to be rather artificial (Hassid et al 1987). Later, Cooperman (1984) considered the particle diffusivity in the flow direction to be different from that in the transverse direction, and showed that the models of Deutsch (1922) and Leonard et al (1980) are the special cases of the general theory of Cooperman.…”
Section: Introductionmentioning
confidence: 99%
“…Also there remains another problem of imposing proper boundary conditions on the collector wall. Though a zero concentration or a zero gradient is most popular in literature (Leonard et al 1980(Leonard et al , 1982Cooperman 1984;Hassid et al 1987;Oron et al 19881, the validity of such a boundary condition is in question in many circumstances, one of which is when particles of high momentum penetrate the boundary layer by a strong turbulence. Very recently details of particle dispersion and deposition in a turbulent boundary layer were investigated by the direct Lagrangian simulation of particle motion to find out a few unique phenomena unexplainable by conventional diffusion models (Kallio and Reeks 1989;MacLaughlin 1989;Brooke et al 1992).…”
ABSTRACT. The characteristics of turbulent deposition of charged particles in a plate-plate electrostatic precipitator (ESP) are analyzed by the Lagrangian simulation method which uses the concept of time series analysis for the particle motion in a turbulent flow field. With the advantage of the Lagrangian method, several important parameters are taken into account such as the effect of nonuniform diffusivity on the particle motion and the effects of particle inertia including the crossing trajectory effect, boundary layer trapping and the lift force near the wall. Collection efficiencies are obtained without any simplified treatment for a wide range of Peclet number (Pe*) of interest, where it is found that the collection efficiency is mainly the function of Pe* and Deutsch number, and the dependency on particle relaxation time is negligible in the range about Pe* > 0.1. Moreover, the characteristics of deposition at the intermediate Pe* is analyzed clearly, where both the diffusion and migration by external force play an important role on the deposition. AEROSOL SCIENCE AND TECHNOLOGY 25:31-45 (1996)
INTRODUCTIONModelling the deposition of charged particles in a turbulent flowfield has been the research theme for a long time in relation to the electrostatic precipitator (ESP) (White, 1963;Bohm, 1982), and most of the previous works have relied upon the Eulerian approach, solving the convective diffusion equation for particle concentration with various models of flowfield, diffusion coefficient and boundary conditions. The variety of deposition models developed hitherto are differentiated by the degree of sophistication in the submodels for flow field, diffusion coefficient and boundary conditions.
The dispersion of particles in turbulent duct flow under the influence of electrostatic fields is studied using direct numerical simulation. In this new approach, particles are moved in the temporally and spatially varying turbulent flow field under the influence of electrostatic and gravitational body forces, as well as fluid dynamic drag. The simulations agree well with previously performed experiments (done in geometries typical of wire-plate and plate-plate electrostatic precipitators) not only in the overall collection efficiency of particles, but in particle concentration profiles at various axial locations in the flo w direction. This gives confidence in the technique that may be used to study different precipitator geometries and flow field configurations, supplementing costly and difficult experiments. Furthermore, in formation is obtained at a much more detailed level than is possible via experiments, allowing insights into the mechanisms dominating particle collection.
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