vyEPA United States Environmental Protection Agency Industrial Environmental Research Laboratory Research Triangle Park NC 2771 1 EPA-600/7-78-193 October 1978 Particle Collection by a Venturi Scrubber Downstream from an Electrostatic Precipitator Interagency Energy/Environment R&D Program Report ------- RESEARCH REPORTING SERIES Research reports of the Office of Research and Development, U.S. Environmental Protection Agency, have been grouped into nine series. These nine broad cate- gories were established to facilitate further development and application of en- vironmental technology. Elimination of traditional grouping was consciously planned to foster technology transfer and a maximum interface in related fields. The nine series are: 1. Environmental Health Effects Research 2. Environmental Protection Technology 3. Ecological Research 4. Environmental Monitoring 5. Socioeconomic Environmental Studies 6. Scientific and Technical Assessment Reports (STAR) 7. Interagency Energy-Environment Research and Development 8. "Special" Reports 9. Miscellaneous Reports This report has been assigned to the INTERAGENCY ENERGY-ENVIRONMENT RESEARCH AND DEVELOPMENT series. Reports in this series result from the effort funded under the 17-agency Federal Energy/Environment Research and Development Program. These studies relate to EPA's mission to protect the public health and welfare from, adverse effects of pollutants associated with energy sys- tems. The goal of the Program is to assure the rapid development of domestic energy supplies in an environmentally-compatible manner by providing the nec- essary environmental data and control technology. Investigations include analy- ses of the transport of energy-related pollutants and their health and ecological effects; assessments of, and development of, control technologies for energy systems; and integrated assessments of a wide range of energy-related environ- mental issues. EPA REVIEW NOTICE This report has been reviewed by the participating Federal Agencies, and approved for publication. Mention of trade names or commercial products does not con stitute endorsement or recommendation for use. This document is available to the public through the National Technical Informa- tion Service, Springfield, Virginia 22161. ------- EPA-600/7-78-193 October 1978 Particle Collection by a Venturi Scrubber Downstream from an Electrostatic Precipitator by L E. Sparks, G. H. Ramsey, and B. E. Daniel Environmental Protection Agency Office of Research and Development Industrial Environmental Research Laboratory Research Triangle Park, North Carolina 27711 Program Element No. EHE624 Prepared for U.S. ENVIRONMENTAL PROTECTION AGENCY Office of Research and Development Washington, DC 20460 ------- ABSTRACT The results of pilot plant experiments of participate collection by a venturi scrubber downstream from an electrostatic precipitator (ESP) are presented. The data, which cover a range of scrubber operating conditions and ESP efficiencies, show that particle collection by the venturi scrubber is not affected by the upstream ESP; i.e., for a given scrubber pressure drop, particle collection efficiency as a function of particle diameter is the same for both ESP on and ESP off. The experi- mental results are in excellent agreement with theoretical predictions. Order of magnitude cost estimates indicate that particle collection by ESP scrubber systems is economically attractive when scrubbers must be used for SO control. A ii ------- TABLE OF CONTENTS Page Abstract i i List of Figures iv List of Tables iv Nomenclature v Introduction 1 Conclusions 2 Recommendations 2 Experimental Equipment 3 Test Program 5 Experimental Results 5 ESP Scrubber System Performance 11 Theoretical Analysis of Combined ESP Scrubber Systems 11 Discussion 16 Cost Analysis 19 Plume Opacity 24 References 28 ------- FIGURES Number Page 1 Scrubber system added to ESP outlet 4 2 Graded penetration curves for venturi scrubber - phase 1 experiments 8 3 Graded penetration curves for venturi scrubber - phase 2 experiments 9 4 Average graded penetration curves for venturi scrubber - phase 2 experiments 10 5 Graded penetration curves for ESP scrubber system 12 6 Graded penetration curves for ESP scrubber system 13 7 Graded efficiency curve for ESP with penetration of 0.0771 17 8 Penetration versus particle diameter for scrubber with pressure drop = 23 cm HLO, density - 2.4 g/cc 18 9 Graded penetration curve for ESP scrubber system - ESP penetration = 0.0771; scrubber pressure drop = 23 cm H20 20 10 Parameter K as a function of the log-normal size distribution parameters for a white aerosol 25 TABLES Number ' Page 1 Experimental Conditions for ESP Scrubber Experiments 6 2 Summary of Calculated Results for ESP Scrubber System 15 3 Estimated Light Transmission and In-Stack Plume Opacity for ESP Scrubber Systems 26 IV ------- NOMENCLATURE AC - Annualized cost, $ C - Cunningham correction factor CC - Capital cost, $ CCESp - Capital cost of ESP, $ CC scrubber - Capital cost of scrubber, $ d - Particle diameter, ym d. - Aerodynamic particle diameter, ymA E - Fan efficiency H - Number of operating hours per year I - Intensity of light transmitted through aerosol I - Intensity of light source 32 K - Light scattering parameter, cm /m K - Cost of electric power, $/kW-hr L - Optical path length L/G - Liquid to gas flow rate ratio, m /m PtESP " Overa11 penetration through ESP Ptrrnq - Overall penetration through ESP scrubber Pt(d)ESp - Penetration of particles with diameter d through ESP pt(d)ESps _ penetration of particles with diameter d through ESP scrubber Pt(d) - Penetration of particles with diameter d through scrubber s 3 Q - Flow rate, m /hr r - Geometric mass mean particle radius gw 23 SCA - Specific collector area, m /Am /s 23 SCAmin - Minimum specific collector area, m /Am /s W - Mass concentration of particles AP - Pressure drop, cm of water p - Density, g/cc a - Geometric standard deviation ------- INTRODUCTION There is considerable interest in using electrostatic precipitator (ESP) scrubber systems for particulate collection in coal fired utility boilers. At least one utility plans to use a moderately efficient ESP followed by a scrubber to meet emission standards for a new boiler. The recent amendments to the Clean Air Act which require SO removal for /\ most plants are likely to increase interest in ESP scrubber systems. There are numerous undocumented reports that a scrubber downstream from an ESP works better than expected. Theoretical and experimental studies of particle collection by drops indicate that there is no reason to expect a scrubber downstream from an ESP to have different performance characteristics than a scrubber alone. But data on ESP scrubber combinations are insufficient to allow one to determine if the results from drop collection theory apply to scrubbers. The experimental study discussed in this report was undertaken to provide the necessary data. Also a theoretical study was conducted to determine what ESP scrubber configurations are capable of meeting the possible particulate New Source Performance Standard for utility boilers of 13 ng/J (0.03 lb/106 Btu). Order of magnitude cost estimates were also made. The objectives of the program were to: 1. Determine the effect of an ESP on the particle penetration (1 minus efficiency) of a venturi scrubber as a function of particle diameter characteristics. 2. Determine the overall mass penetration and particle penetration as a function of particle diameter for the ESP scrubber system. 3. Determine, with the aid of mathematical models, the ESP scrubber configurations capable of meeting an emission standard for fly ash of 13 ng/J. ------- 4. Estimate order of magnitude costs for the systems in 3 above. CONCLUSIONS The results of the experimental and theoretical studies support the following conclusions: 1. The performance of a venturi scrubber is not affected by the ESP; i.e., the particle penetration versus particle diameter characteristics of the scrubber are the same whether the ESP is on or off. 2. The performance of the scrubber is adequately modeled by the SR-52 programmable calculator model described 2 by Sparks. 3. An ESP scrubber system can achieve an emission of 13 ng/J. 4. Annualized costs of an ESP scrubber system are attractive when compared to costs for an ESP alone for many cases. 5. Plume opacity from an ESP scrubber system may be much higher for a given mass emission than the plume opacity from an ESP alone. RECOMMENDATIONS 1. Detailed cost studies of ESP scrubber sytems should be conducted to determine their economics. 2. Experimental and theoretical studies of plume opacity from ESP scrubber systems should be undertaken. ------- EXPERIMENTAL EQUIPMENT The scrubber system tested in conjunction with the ESP system consisted of a venturi scrubber, an entrainment separator, and a blower and motor. The venturi scrubber had a round cross section with a throat length of 25.4 cm. The throat section could be removed so various throat diameters could be tested. The ESP scrubber tests involved only two throat diameters: 7.62 and 10.16 cm. Larger diameters could not be installed due to the limiting size of the opening at the throat bottom flange. The water was added tangentially at two points at the top of the scrubber. The water flow rate could be varied up to a maximum of -2 3 6.43 X 10 m /min. The scrubbing water was not recirculated. Maximum gas flow was about 28 m /min. Following the venturi scrubber, the gas stream entered a cyclonic entrainment separator. The separator had a diameter of 50.8 cm and was 1.22 m in height. The gas entered the separator at the bottom and exited tangentially near the top. The gas was moved through the system by a blower powered by a 15 hp motor. The installation of the scrubber to the outlet of the ESP involved removing a 3 m section of duct from the ESP system and rerouting the gas stream through the scrubber system and back to the original ESP system duct, as shown in Figure 1. A transition section was added to the ESP duct to reduce the duct diameter from 30.48 to 15.24 cm to accommodate the scrubber. Flexible duct was used to connect the transition section to the scrubber. The gas was exhausted from the entrainment separator through a 15.24 cm duct to the fan and through a flexible duct (30.48 cm diameter) to connect the fan to the original ESP exhaust system. Pressure taps were added to the duct at the entrance to the scrubber, between the scrubber and separator, and at the exit of the separator. The pressure taps allowed for measurement of pressure drop over the scrubber and separator. ------- ORIGINAL ESP EXHAUST DUCT ROTA- METER TRANSITION DUCT (30.48 cm DIAMETER TO 15.24 cm DIAMETER) ORIGINAL ESP EXHAUST DUCT \ 15.24 cm FLEXIBLE DUCT 20.32cm SQUARE SECTION Figure 1. Scrubber system added to ESP outlet. ------- The ESP used for the experiment is a one lane wire duct ESP and is fully described by Lawless et al. The aerosol generator consisted of two sand blast guns which were fed fly ash by a vibrating screw feeder. Preliminary experiments were conducted with fly ash fed directly to the sand blast guns. These experiments showed that significant fly ash settled in the inlet duct. A cyclone was placed in the line between the feeder and the sand blast guns, to prevent dust fallout in the inlet duct. Previous experience showed that this aerosol generator was stable. Additional information can be found in Lawless et al. The particle size distribution was approximately log-normal with a geometric mass mean diameter of about 5.5 ymA and geometric standard deviation of 2.3 when the cyclone was used. All size distribution measurements were made with Meteorology Research, Inc. (MRI) cascade impactors with greased substrates. The impactors were calibrated by personnel of EPA Industrial Environmental Research Laboratory's Particulate Technology Branch (PATB), using the 4 procedure described by Calvert et al. TEST PROGRAM The experimental program was divided into two phases: Phase 1 was a preliminary study, and Phase 2 was a systematic study with replication. The variables studied in the Phase 2 experiments were: ESP on or off ESP penetration 1 to 0.037 (efficiency 0 to 96.3%) Liquid/gas ratio 6.65 x 10"4 to 2.66 x 10~3 m3/Am3 The experimental conditions for all tests are shown in Table 1. EXPERIMENTAL RESULTS The overall penetrations for the ESP, the scrubber and the ESP scrubber system are shown in Table 1. Since the particle size distribution ------- Table 1. EXPERIMENTAL CONDITIONS FOR ESP SCRUBBER EXPERIMENTS Date 12/17/77 12/18/77 12/19/77 1/16/78 1/17/78 1/19/78 1/23/78 1/24/78 1/25/78 1/26/78 1/27/78 2/3/78 2/6/78 2/7/78 2/6/78 2/14/78 2/16/78 2/21/78 2/23/78 ESP Penetration 0.05 ESP off 0.034 0.382 0.34 ESP off ESP off ESP off ESP off 0.328 0.516 ESP off ESP off 0.257 0.256 ESP off ESP off 0.733 0.0375 Scrubber Parameters Throat Diameter, cm 10.16 10.16 10.16 10.16 10.16 10.16 10.16 10.16 10.16 10.16 10.16 7.62 7.62 7.62 7.62 10.16 10.16 10.16 10.16 L/G, m3/m3 1 X 10"3 1 X 10"3 1 X 10"3 1.2 X 10"3 1.2 X 10"3 1.2 X 10"3 1.2 X 10"3 2.3 X 10"3 2.3 X 10"3 2.3 X 10"3 2.3 X 10"3 1.2 X 10"3 1.2 X 10"3 1.2 X 10~3 1.2 X 10~3 5.32 X 10"4 5.32 X 10"4 5.32 X 10"4 -4 5.32 X 10 AP,cm H20 31.1 31.1 31.1 39.6 39.6 39.6 39.6 68.3 68.3 68.3 68.3 62.2 62.2 62.2 62.2 26.7 26.7 26.7 26.7 Penetration 0.0226 0.022 0.024 0.0129 0.0165 0.0106 0.010 0.0022 0.0020 0.0034 0.004 0.0041 0.0048 0.0072 0.0079 0.0235 0.019 0.0138 0.0911 Overall Penetration for System 0.00113 0.022 0.000816 0.0049 0.0056 0.0106 0.010 0.0022 0.0020 0.0011 0.0021 0.0041 0.0048 0.0018 0.0020 0.0235 0.019 0.010 0.0034 ------- into the scrubber depends on the penetration through the ESP, the overall penetration results shown in Table 1 must not be used to determine the effect of the ESP on scrubber performance. Instead, the particle penetration as a function of particle diameter (the graded penetration) curves for the scrubber must be used to determine the effect of the ESP. (The graded penetration curve for a scrubber is independent of the inlet particle size distribution.) The graded penetration curves for Phase 1 are shown in Figure 2 as a plot of penetration versus aerodynamic particle diameter, dA. (dA = d /P C where d is the physical particle diameter, p is the density of the particle, and C is the Cunningham correction factor.) The predicted graded penetration curve is also shown in Figure 2. The results of all the Phase 2 tests are shown in Figure 3. The average graded penetration curves for each of the Phase 2 tests are shown in Figure 4. It is obvious from the data shown in Figures 2 and 4 that scrubber performance is dominated by the pressure drop across the scrubber and that the ESP has no effect on the performance of the scrubber. It is also clear from Figure 2 that the predicted graded penetration curve is in excellent agreement with the experimental data. Statistical analysis of the data showed that: 1. There was no effect on scrubber performance due to the ESP. 2. Particle collection in the venturi was dominated by pressure drop. 3. Changes in throat diameter (i.e., changes in gas velocity in the throat) had more effect than changes in L/G. 4. The estimated standard deviation in the experimental graded penetration curves was about 20%. ------- 1.0 1 I I T I I I I I 1 I I I I t I I o H 0.10 01 O MEASURED • ESP ON 12/17/77 ESP PENETRATION = 0.05 SCRUBBER Ap = 31.1 cm H20 D SCRUBBER PENETRATION-PREDICTED SCRUBBER Ap= 31.1 cm H20 A ESP OFF -MEASURED 12/20/77 Ap=31.1cmH20 • ESP ON-12/19/77 ESP PENETRATION = 0.034 SCRUBBER Ap = 3i.ic I 1 1 L 1 I I I I I 0.1 1.0 AERODYNAMIC PARTICLE DIAMETER, micrometers Figure 2. Graded penetration curves for venturi scrubber - phase 1 experiments. 10 ------- 0.10 — o t- oc 21 6/78 21 7/78 21 8/78 2/14/78 2/15/78 2/21/78 2/23/78 0.010 0.001 1.0 10 AERODYNAMIC PARTICLE DIAMETER, micrometers Figure 3. Graded penetration curves for venturi scrubber - phase 2 experiments. ------- 1.0 F 0.10 0.01 1 I r i I r I I I IT O ESP ON D ESP OFF • ESP ON ESP OFF ESP OFF ESP ON I I I I 10.16 cm THRO AT - SCRUBBER AP = 39.6cmH20 • SCRUBBER AP = 39.6 cm H20 - SCRUBBER AP = 68.3 cm H20 - SCRUBBER AP = 68.3cmH20 7.62 cm THROAT - SCRUBBER AP = 62.2cmH20 - SCRUBBER AP = 62.2 cm H20 I I I I I I I III I I I I I I 0.1 1.0 10 AERODYNAMIC PARTICLE DIAMETER, micrometers Figure 4. Average graded penetration curves for venturi scrubber - phase 2 experiments. 10 ------- ESP Scrubber System Performance The overall mass penetration of the ESP scrubber system for each run is summarized in Table 1. Note that in all cases the overall mass penetration is quite low; i.e., the overall mass collection efficiency is quite high. Typical graded penetration curves for the ESP scrubber system are shown in Figures 5 and 6. These curves indicate that the ESP scrubber system is capable of meeting the proposed revised New Source Performance Standard. In other words, a particle collection system operating with the characteristics shown in Figures 5 and 6 can collect fly ash with a typical size distribution with penetrations less than 0.003 (efficiencies greater than 99.7%). THEORETICAL ANALYSIS OF COMBINED ESP SCRUBBER SYSTEMS The data presented in previous sections clearly show that particle collection by a scrubber is adequately modeled by Calvert's venturi scrubber model. ESP particle collection data show that the EPA/SoRI ESP 5 model adequately predicts ESP performance. Therefore, the performance of a combined ESP scrubber system should be adequately predicted by a combination of the two models. The predictions of the two models were combined to obtain order of magnitude estimates of the performance and economics of using an ESP scrubber system as opposed to either an ESP or a scrubber alone. In essence such a system represents a tradeoff between scrubber pressure drop and ESP plate area. Two cases were examined: A low current density case which corresponds to a fly ash with high electrical resistivity (^ 5 x 10 ohm cm) such as produced by low sulfur coal (<1% S). 11 ------- 0.10 I I I 0.010 tu z tu 0.001 0.1 I I I I I IIII\I I I l_ DATE OF RUN O 1/26/78 n 1/27/78 A 2/23/78 III I I I I I I I 1.0 AERODYNAMIC PARTICLE DIAMETER, micrometers Figure 5. Graded penetration curves for the ESP scrubber system. 10 12 ------- 0.10 I I I I I 1 I I I I I I I I L F 0.010 0.001 DATE OF RUN O 2/7/78 Q 2/8/78 I 111 I I I I I I I | I LJ I I I I I I 1.0 10 0.1 AERODYNAMIC PARTICLE DIAMETER, micrometers Figure 6. Graded penetration curves for the ESP scrubber system. 13 ------- A moderate current density case which corresponds to a fly ash with moderate electrical resistivity (^3 x 10 ohm cm) such as produced by moderate sulfur coals (^1.5-2% S). The following assumptions were made: 1. The fly ash size distribution was log-normal with mass mean diameter of 20 ym and geometric standard deviation of 4.5. 2. Fly ash density was 2.4 g/cc. 3. Gas flow distribution in the ESP was characterized by a normalized standard deviation of 0.25. 4. The factor for sneakage and nonrapping reentrainment in the ESP was 0.1. 5 5. Rapping losses were typical as described by McDonald. The results of the calculations are summarized in Table 2. The results summarized in Table 2 show that the scrubber pressure drop, AP, is a function of the penetration through the ESP, T^fpcp* and is essentially independent of the current density. The pressure drop to PtpSp relationship is: AP = 85~PtESp (1) where AP is in cm water and H is a fraction. Because the specific collector area, SCA, required to give a given PtESP *s a funct^on °f tne current density, the relationship between AP and SCA is different for the two current densities: 14 ------- Table 2. SUMMARY OF CALCULATED RESULTS FOR ESP SCRUBBER SYSTEM Configuration ID Number ESP Parameters SCA m2/Am3/s Ft Resistivity ScrubDer Parameters P cm water Pt Overall Penetration 1 2 3 4 5 6 7 8 9 10 11 156.1 78.04 33.93 16.43 8.214 74.32 35.47 15.30 7.094 3.393 0 0.0024 high 0.0165 0.0771 0.187 0.330 0.002 moderate 0.0164 0.0762 0.186 0.331 _ _ - 9.1 24.0 34 43 - 8 24 34 43 67 - 0.182 0.0389 0.016 0.009 - 0.183 0.0394 0.016 0.0091 0.0029 0.0024 0.003 0.003 0.003 0.003 0.002 0.003 0.003 0.003 0.003 0.003 15 ------- For the high current density case, AP = exp (3.94 - 0.0536 SCA) (2) For the low current density case, AP = exp (3.90 - 0.0220 SCA) (3) 2 3 For both, P is in cm water and SCA is in m /Am /s. The calculated results show that the SCA can be reduced by about a factor of 2 for both moderate and high resistivity cases, for a scrubber AP of about 10 cm water. DISCUSSION The initial reaction to the calculated and experimental results is one of disbelief. It does not appear reasonable to expect a fairly inefficient ESP and a moderate to low pressure drop scrubber to perform as well as both the experimental data and the calculated results show. An examination of the particle penetration versus particle diameter curves (the graded penetration curve) for both devices acting alone and the combined graded penetration curve can explain the results. The calculated graded penetration curve for an ESP with a penetration of 0.0771 is shown in Figure 7. Note that the ESP curve has a broad peak from about 0.4 to 1 ym and then drops fairly rapidly on both sides of the peak. On the other hand the graded penetration curve, Figure 8, for a scrubber needed to produce an emission of 13 ng/J in combination with the ESP drops rapidly from essentially 1.0 at 0.1 ym to less than 0.01 at 3 ym. The scrubber is seen to be efficient in particle diameter regions where the ESP is inefficient and the ESP is efficient in particle diameter regions where the scrubber is inefficient. The two devices complement each other. The graded penetration of the ESP scrubber system can be obtained by multiplying the two separate graded penetration curves; i.e,. 16 ------- 10 1—I I I I 11 i r~i—i—i iiiu oc 0.10 0.01 I I I I I I I I I i I I I I I I I 0.1 1.0 PHYSICAL PARTICLE DIAMETER, micrometers Figure 7. Graded efficiency curve for ESP with penetration of 0.0771. 10 17 ------- 1JJ F0.10 OKI n — i i i i i rn — i i i i i u J 1 I I I I I I I 0.1 1.0 PHYSICAL PARTICLE DIAMETER, micrometer* 10 Figures. Penetration versus particle diameter for scrubber with pressure drop = 23 cm density - 2.4 g/cc. 18 ------- Pt(d)ESps = Pt(d)ESp x Pt(d)s (4) where Pt(d)ESps, Pt(d)ESp and Pt(d)s are the penetrations of particles with diameter d for the ESP scrubber system, the ESP alone, and the scrubber alone, respectively. The resulting graded penetration curve is shown in Figure 9. Note the curve has a sharp peak at about 0.3 ym and drops rapidly on both sides. This sharp peak is characteristic of the ESP scrubber system and, as is discussed in the section on plume opacity, may cause problems with respect to plume opacity limits. (Note that the curves in Figures 7, 8, and 9 are for penetration versus physical particle diameter, not aerodynamic particle diameter as in Figures 2, 3, 4, 5, and 6.) The experimental graded penetration curves for the ESP scrubber system do not show the peak in penetration because data for particle diameters less than about 0.7 micrometers are not available. COST ANALYSIS A detailed cost analysis is necessary to determine if the trade off between pressure drop and SCA is justified. The order of magnitude cost analysis involves the following assumptions: 1. The total turnkey capital cost of a cold-side ESP is $30/m2 plate area. (A rough range of total turnkey cost is $270 to $370 per m .) 2. There is no capital cost of the scrubber because it is needed for SO control. A 3. Fan efficiency is 60%. 4. Electricity cost is $0.03/kW hr. 19 ------- 1.0 0.10 0.01 T—i—n—i—rr T—i—n—\—i i i i L j i « i i J i i i i L 0.1 io! PHYSICAL PARTICLE DIAMETER, micrometers Figure 9. Graded penetration curve for ESP scrubber system - ESP penetration = 0.0771 scrubber pressure drop = 23 cm fO. 20 ------- 5. Annualized capital charges are 15% of total turnkey capital cost. 6. Plant operates 6100 hrs per year (<\70% capacity). 7. ESP operating and maintenance costs are insignificant compared with capital costs of ESP and can be neglected. a. Scrubber maintenance and liquid loop costs are not included because they are needed for the SO system. A 9. Costs are for 1 MW which produces 5440 Am /hr of flue gas. With these assumptions the total annualized cost per MW is given by: AC = Q [4.38 x 10"3 HK Af_ ] +0.15 CC (5) 15.8E where AC is the annualized cost Q is the flow rate in Am /hr, H is the number of operating hours per year K is the cost of electric power in $ per kW hr AP is the scrubber pressure drop in cm ^0 E is the fan efficiency CC is the capital cost in $ 4.38 x 10 and 15.8 are unit conversion constants For a 1 MW plant: Q = 5440 Am3/hr H = 6100 Ke = $0.03 E = 0.60 CC = 320 x SCA x Q 3600 21 ------- 2 3 where SCA is the specific collector area in m /Am /sec, and 3600 is 3 3 necessary to convert Am /hr to Am /sec. For the moderate resistivity case AP = exp (3.94 - 0.0536 SCA) and for the high resistivity case AP = exp (3.90 - 0.022 SCA) The cost equation for the moderate resistivity case is: AC = 5440 {[ 4.38 x 10"4 x 6100 x 0.03 exp (3.94 - 0.0536)] (6) 15.8 x 0.6 + 0.15 x 320 SCA} 3600 The SCA for minimum cost can be obtained from dAC/dSCA = 0. For the moderate resistivity case: _dAC = 5440 [8.46 x 10"3 exp (3.94-0.0536 SCA) x - 0.0536 + 1.33 x 10"2] dSCA = 4.53 x 10"4 exp (3.94 - 0.0536 SCA) + 1.33 x 10"2 = 0 (7) 4.53 X 10"4 exp (3.94 - 0.0536 SCA) = 1.33 x 10"2 . (8) 3.94 - 0.0536 SCA^ - In frg * ftf (9) SCA. = 3.94 - In 29 (10) ^"n 0.0536 =10.7 m2/Am3/sec For the high resistivity case the only change is in the exponential term and = 3.90 - In 71.4 = - 0.37 m2/Am3/sec (11) 22 ------- In other words the scrubber alone is the minimum cost option. The cost for the moderate resistivity case is: $2.1 x 103/year/MU The cost for the high resistivity case is $2.3 x 103/year/MW The maximum cost for the high resistivity case is for the ESP alone and 2 is $11 x 10 /year/MW. The maximum cost for the moderate resistivity case is also for the ESP alone and is $5 x 103/year/MW. The cost picture is changed somewhat if a scrubber has to be purchased for particulate removal. In this case Equation 6 becomes AC = 5440 [ 8.46 x 10"3 exp (3.94 - 0.0536 SCA) + 1.33 x 10"2 SCA] (12) + °'15 CCscrubber for the moderate resistivity case and AC = 5440 L 8.46 x 10"3 exp (3.90 - 0.022 SCA) + 1.33 x 10"2 SCA] (13) + °'15 CCscrubber for the high resistivity case. ccscruDber is tne capital cost of a scrubber. Ensor et al. reported that the turnkey capital cost of a particulate scrubber system is $50/kW or $50,000/MW. The annualized cost of the scrubber is 0.15 x $50,000 = $7,500 which must be added to the minimum costs calculated earlier. The annualized cost for the moderate resistivity cases becomes $9,600 per MW per year, which exceeds the cost of ESP alone. The annualized cost for the high resistivity case becomes $9,800/MW/year which is still less than the cost of the ESP alone. ------- It must be noted that the cost calculations above are based on general cost data which have a great deal of uncertainty in them. However, the cost calculations do show that once the decision to install scrubbers for SO control is made, the particulate collection job should A be shared by the ESP and the scrubber. PLUME OPACITY Theoretical calculations of in-stack light transmittance (1 minus the plume opacity) as measured by a transmissometer are inexact due to lack of data on particle refractive index and other parameters, especially the particle size distribution. However, useful estimates can be made based on the work of Ensor. The in-stack plume opacity is a function of the particle size distribution, the refractive index of the particles, the particle concen- tration, and the optical path length. Ensor has shown that the in-stack light transmittance is given by In (I/I ) = WL (14) KP where I is the intensity of the light transmitted through the aerosol I is the intensity of the light source (I/IQ is the transmittance) W is the mass concentration of particles L is the optical path length which is usually the stack diameter K is a parameter which depends on the particle size distribution, the particle refractive index, and the wavelength of light p is the particle density A plot of K for a log-normal particle size distribution versus geometric mass mean radius with geometric standard deviation as a parameter for wavelength of light = 550 run and a refractive index = 1.50 is shown in Figure 10. The graded penetration curves for the ESP, scrubber, and ESP scrubber system can be used to estimate the log-normal parameters for various system 24 ------- I I I I I III) REFRACTIVE INDEX = 1.50 WAVE LENGTH OF LIGHT = 550 nm I'll ""I 1 I I I II GEOMETRIC MASS MEAN RADIUS, rgw (microns) Figure 10. Parameter K as a function of the log-normal size distribution parameters for a white aerosol. (§} D.S. ENSOR USED BY PERMISSION OF COPYRIGHT OWNER 25 ------- Table 3. ESTIMATED LIGHT TRANSMISSION AND IN-STACK PLUME OPACITY FOR ESP SCRUBBER SYSTEMS Configuration* ID Number 1 2 3 4 5 11 System ESP alone ESP & Scrubber ESP & Scrubber ESP & Scrubber ESP & Scrubber Scrubber alone Transmission '"o 0.85 0.63 0.70 0.73 0.76 0.80 Opacity 1-I/I0 0.15 0.37 0.30 0.27 0.24 0.20 ^ Configuration ID number refers to Table 2. All systems produce outlet emission of 13 ng/J. 26 ------- configurations that meet the 13 ng/J emission limit. These log-normal parameters can then be used to estimate K from Figure 10. The light transmittance can then be calculated from I/I0 = exp (-WL/Kp) (is) We will assume W = 0.02 g/Am3 (roughly equivalent to 13 ng/J) L = 10 m P = 2.4 g/cc The estimated light transmittance for each of the system configurations in Table 2 is shown in Table 3. Because the particle size distributions of the ESP scrubber system are essentially the same for both the moderate and high resistivity cases when the ESP penetration is constant, only results for the high resistivity cases are shown in Table 3. The estimates of transmittance show that the ESP scrubber system can have considerably lower transmittance (higher opacity) than either the ESP-only system or the scrubber-only system. It must be noted that these calculations of transmittance are subject to large uncertainties; e.g., the calculated outlet size distributions are not exactly log-normal. The ESP computer model predictions of graded penetration curves are not well confirmed with experimental data. Slight changes in the non-ideal factors in the ESP model can have a large effect on the predicted outlet size distribution, which will affect the calculated transmittance. In spite of the uncertainties in the calculations, the fact that ESP and scrubbers operate on the particle size distribution differently will tend to make the outlet particle size distribution finer and more monodisperse. This tendency to make a fine monodisperse outlet particle size distribution should cause higher opacities for a given mass emission. 27 ------- REFERENCES 1. Sparks, L. E., "The Effect of Scrubber Operating and Design Parameters on the Collection of Particulate Air Pollutants." Ph.D. Dissertation, University of Washington, 1971. 2. Sparks, L. E., "SR-52 Programmable Calculator Programs for Venturi Scrubbers and Electrostatic Precipitators," EPA-600/7-78-026 (NTIS PB 277-672/AS), March 1978. 3. Lawless, P., G. Ramsey, and B. Daniel, "Characterization of the IERL/RTP Pilot Scale Electrostatic Precipitator." EPA report in press, 1978. 4. Calvert, S., C. Lake, and R. Parker, "Cascade Impactor Calibration Guidelines," EPA-600/2-76-118 (NTIS PB 252-656/AS), April 1976. 5. McDonald, J. R., "Modeling and Programming the Electrostatic Precipitation Process." EPA report in press, 1978. 6. Ensor, D. S., B. S. Jackson, S. Calvert, C. Lake, D. V. Wallon, R. E. Nilan, K. S. Campbell, T. A. Cahill, and R. G. Flocchini, "Evaluation of a Particulate Scrubber on a Coal-Fired Utility Boiler." EPA-600/2- 75-074 (NTIS PB 249-562/AS), November 1975. 7. Ensor, D. C., "Smoke Plume Opacity Related to the Properties of Air Pollutant Aerosols." Ph.D. Dissertation, University of Washington, 1972. 28 ------- TECHNICAL REPORT DATA (Please read Instructions on t/ie reverse before completing) . REPORT NO. EPA-600/7-78-193 2. 3. RECIPIENT'S ACCESSION NO. . TITLE AND SUBTITLE Particle Collection by a Venturi Scrubber Downstream from an Electrostatic Precipitator 5. REPORT DATE October 1978 6. PERFORMING ORGANIZATION CODE AUTHOR(S) j.E.Sparks, G.H.Ramsey, andB.E. Daniel 8. PERFORMING ORGANIZATION REPORT NO. IERL-RTP-612 . PERFORMING ORGANIZATION NAME AND ADDRESS 10. PROGRAM ELEMENT NO. EHE624 See block 10 11. CONTRACT/GRANT NO. NA (Inhouse report) 2. SPONSORING AGENCY NAME AND ADDRESS EPA, Office of Research and Development Industrial Environmental Research Laboratory Research Triangle Park, NC 27711 13. TYPE OF REPORT AND PERIOD COVERED Final; 12/77 - 2/78 14. SPONSORING AGENCY CODE EPA/600/13 15.SUPPLEMENTARY NOTES Coauthor Sparks' mail drop is 61; his phone is 919/541-2925. repOrt gjves results of pilot plant experiments of particulate collection a venturi scrubber downstream from an electrostatic precipitator (ESP). The data, covering a range of scrubber operating conditions and ESP efficiencies, show that particle collection by a venturi scrubber is not affected by the upstream ESP; i. e. , for a given scrubber pressure drop, particle collection efficiency (as a function of particle diameter) is the same whether the ESP is on or off. The experimental results are in excellent agreement with theoretical predictions. Order of magniture cost estimates indicate that particle collection by ESP scrubber systems is economically attractive when scrubbers must be used for SOx control. 17. KEY WORDS AND DOCUMENT ANALYSIS DESCRIPTORS b.lDENTIFIERS/OPEN ENDED TERMS c. COS AT I Field/Group Air Pollution Dust Scrubbers Venturi Tubes Electrostatic Precipitators Sulfur Oxides Air Pollution Control Stationary Sources Particulate Venturi Scrubbers 13B 11G 07A,13I 14B 07B 18. DISTRIBUTION STATEMENT Unlimited 19. SECURITY CLASS (This Report) Unclassified 21. NO. OF PAGE? 34 20. SECURITY CLASS (This page) Unclassified 22. PRICE EPA Form 2220-1 (9-73) 29 ------- |