It has been shown [ 1, 2] that there are major advantages in separating an aerosol containing a nonsticky solid dispersed phase in a centrifugal field, and kinetic studies have been performed and a working nomogram has been proposed for determining the regeneration parameters for a continuously operating rotating filter. However, a filter of that type has an elevated energy demand, so its parameters must be optimized. The optimization criterion can be the minimum energy consumption per unit volume of dusty gas passing through the filter provided that the deposit on the rotating filter is retained only by the gas pressure difference. Then part of the total pressure difference is used to retain the deposit, while part is used in the filtration proper.When a centrifugal field is imposed, the porosity of the deposit is increased by the expansion of the layer, and then the pressure difference consumed in filtration Apd.dy n is less than the pressure difference in the static filter APd.s t by the amount Apc, which is determined by the centrifugal force acting on the deposit (here and subsequently, the subscripts are as follows: d deposit, dyn dynamic, st static, c centrifugal, cr critical, in internal, and fm filter material).That approach is quite realistic because Apd.dy n and APc act on the deposit in opposite senses. We subsequently neglect the gravitational forces acting on the deposit because APc that is comparable with Apd.dy n is 100 times at least the gravitational force even for the minimal separation factor in the centrifugal field (K = 100).We use Darcy's law [3] for the deposit on the rotating filter to get Apd.dy n = lt.tWZd.dy n ,where/a is the dynamic viscosity in Pa.sec, w the filtration speed in m/sec, and Zd.dy n the resistance of the deposit, m -1. Then the following is the pressure difference across a deposit layer of infinitely small thickness dh for w = constant, as in the industrial filtration of an aerosol:where in accordance with the [3] data, Za.dy n = Z,(Apd.dy n)sis the specific resistance of the deposit in m -2, z' is an experimental determined constant, s the deposit compressibility parameter, and o3 the angular velocity of the rotating cylindrical filter in sec -1.It follows from [ 1] that we have for a rotating cylindrical filter that Apd_dy n = Apd.s t --0.5Pd0~2h(2Ro + h),All-Russia Gas Technology Association and Semiluki Refractories Plant.
