181.
The statistical mechanics of particles at the surface of a dust deposit are presented as a step towards a microscopic theory of electrostatic precipitation. The paper consists of three major divisions: (1) field induced entrainment, (2) particle condensation at the surface, and (3) hydrodynamic limits on precipitation.In the first part of this paper, the entrainment of dust from surfaces by electrostatic forces was considered as a simple Markov process. A choice of x
−1 for the dependence of the adhesive potential (van der Waals particle attraction) led to an exponential emission rate in the Kramers-Chandrasekhar approximation. This result suggested a simple experimental procedure for determining the adhesive properties of the dust. In addition it was found that both thermal Brownian and particle-deposit collisions contribute to the entrainment.In the second part, the precipitation problem was discussed in terms of a two-dimensional Ising model. The Markovian assumption demanded that the efficiency of the electrostatic precipitator be divided into a product of factors depending on particle migration and condensation in the two-dimensional surface. From this perspective a new collection criterion was established and the importance of particle collisions at the surface of the deposit was demonstrated.Finally, in the third part the role of bulk fluid flows in particle condensation and migration was addressed. The superficial gas flow and secondary flow were found to introduce anisotropy into the Ising lattice and also to enhance the mean particle energy at the surface. The Navier Stokes Equation was numerically integrated for the case of a wire-plate type corona. Plots of the stream function and gas velocity profile were presented and these suggested the existence of a lower limit on the shear stress that acts on surface particles.
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