Electrostatic precipitator Deutsch equation

This equation, which is called the Deutsch equation, has been shown to be a useful tool for estimating the performance of electrostatic precipitators. An interesting detail in the Deutsch equation is the exponent, which is equal to the collection efficiency of a laminar flow system. The equations based on laminar flow and turbulent flow can be assumed to be the extreme conditions, and the true situation is somewhere in between these two cases (see Fig. 13.1,5). 

The collection efficiency of the wire-plate-type of electrostatic precipitator can be estimated by the widely used Deutsch theory [Deutsch, 1922]. To obtain the Deutsch equation, the following assumptions are made (1) because of the turbulent mixing effect, particle concentration at any cross section of the precipitator is uniformly distributed ... 

Example 7.2 Consider a dust-laden gas passing through an electrostatic precipitator. Assume that all particles have the same charge-to-mass ratio, q/m, and the electric field is uniform. Use the Deutsch equation to estimate the overall collection efficiency if the particle size distribution based on weight percentage (wt%) can be expressed by the mass density function, /M, as... 

Use the Deutsch-Anderson equation to calculate the efficiency of the precipitator. Also, use the modified Deutsch equation with a range of exponents varying from 0.4 to 0.7 (in increments of 0.05) to calculate the efficiency of the electrostatic precipitator. 

ELECTROSTATIC PRECIPITATORS (ESP) Assume a Deutsch-Anderson equation of the form... 

The quantity ( BpL/AcVfl) in the Deutsch equation carries additional significance. It is essentially the ratio of the collecting electrode surface area over the gas flow rate. Thus, for identical values of Upy, similar particle collection efficiencies will be obtained in two different size precipitators if the value of (BpL/AcVz) is identical. This provides a basis for precipitator scaleup. A survey of the volumes of electrostatic precipitators needed for required gas flow rates is given in Figure 7.3.9 (Soo and Rodgers, 1971). 

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