Particulate Scrubbers Reading: Chap. 7 • Types of scrubbers: spray chamber and venturi scrubber • Theory and design consideration • Pressure drop • Contacting power www.wpclipart.com/weather/happy_rain_cloud.png 2015/4/13 Aerosol & Particulate Research Lab 1 Collecting medium: Liquid drops Wetted surface Recirculated water Spray Chamber Q: What parameters will affect the collection efficiency? Q: Any other arrangement of air & water? Water to settling basin and recycle pump Vertical spray chamber (countercurrent flow) 2015/4/13 Aerosol & Particulate Research Lab 2 Q: Is the gas velocity of any concern? Is droplet size important? 2015/4/13 Aerosol & Particulate Research Lab 3 Cyclone Spray Chamber & Impingement Scrubber Q: Is used water recirculated? Flagan & Seinfeld, Fundamental of Air Pollution Engineering, 1988 2015/4/13 Aerosol & Particulate Research Lab 4 Venturi Scrubber High efficiency even for small particles QL/QG: 0.001 - 0.003 VG: 60 - 120 m/s Q: ESP for sticky, flammable or highly corrosive materials? Handbook of Air Pollution Control Engineering & Technology, Mycock, McKenna & Theodore, CRC Inc., 1995. 2015/4/13 Aerosol & Particulate Research Lab 5 Theory: Spray Chamber 3 Volume of each droplet d d d 6 Total number of droplets that pass the chamber per second QL QL 6QL Nd 3 d d 3 d d d 6 VG QL: volumetric liquid flow rate Droplet concentration in the chamber Nd 6QL nd 3 AcVd d d AcVd Vd Vtd Vd Vtd VG Vd: droplet falling velocity relative to a fixed coordinate Vtd: droplet terminal settling velocity in still air (i.e. relative to the gas flow) 2015/4/13 Aerosol & Particulate Research Lab 6 At a given time dt, the distance a droplet falls is dz Vd dt Volume of air that flows through the cross-section area of a single droplet during the time dt Vair, single 2 2 Vtd d d Vtd dt d d dz 4 4 Vd Total effective volume of gas swept clean per second by all droplets in dz d d2 Vtd 6QL Vair,all d dz 3 d d 4 Vd Total number of particles swept clean per second by all droplets in dz d d2 Vtd 6QL dN p d dz 3 n d d 4 Vd 2015/4/13 p, z Aerosol & Particulate Research Lab 7 Total number of particles removed per second over dx dN p VG Ac n p , z dz / 2 n p , z dz / 2 QL Particle penetration in a countercurrent vertical spray chamber 3QLVtd d z Pd exp 2QG d d (Vtd VG ) AdVtd d exp QG N z dz / 2 N N z z dz / 2 Cross-sectional area of all the droplets 6QL Ad Ac z 3 d d AcVd 2015/4/13 d d2 3QL z 4 2d d Vtd VG Aerosol & Particulate Research Lab QG 8 6.12104 QLVtdd z Pd exp QG d d (Vtd VG ) If QL in gal/min and QG in cfm, z in ft and dd in mm Particle penetration in a cross-flow spray chamber 3 QL d AdVtd d Pd exp z exp QG 2 QG d d Q: How do we have higher collection efficiency? Q: What are the collection mechanisms (we need it for d)? 2015/4/13 Aerosol & Particulate Research Lab 9 2015/4/13 Aerosol & Particulate Research Lab 10 Deposition of Particles on a Spherical Collector Re mG Sc G D d dVtd G mG Particle Reynolds # dp dd St Particle Schmidt # mL mG Diameter ratio Cc p d p2Vtd 18mG d d Particle Stokes # Viscosity ratio Single droplet collection efficiency d (diffusion) (interception) 2015/4/13 Aerosol & Particulate Research Lab (impaction) 11 Impaction only St d I St 0.35 2 (Impaction parameter Kp is used in textbook; Kp = 2 St) Q: Why is there an optimal size? p = 2 g/cm3 Q: The operating condition of a vertical countercurrent spray chamber are: QL/QG = 1 L/m3, VG = 20 cm/s, dd = 300 mm and z = 1 m. Calculate the collection efficiency of 8 mm particles through this chamber. Assume atmospheric pressure, 25 oC and p of 1 g/cm3. 2015/4/13 Aerosol & Particulate Research Lab 12 Venturi Scrubbers: Calvert Design Particle penetration through a venturi scrubber Q V d Pd exp L G L d 55QG mG K po f 0.7 0.49 0 . 7 K f 1 . 4 ln po 0.7 K f 0 . 7 po 1 K po Kpo=2St (aerodynamic diameter) using throat velocity f = 0.5 for hydrophilic materials, 0.25 for hydrophobic materials Sauter mean droplet diameter 0.5 0.45 1.5 mL QL 1000 597 0.5 QG L , L and m should be in cgs k1 = 58600 if VG is in cm/s QL and QG should be of the same unit = 1920 if VG is in ft/s k1 dd VG 2015/4/13 L Aerosol & Particulate Research Lab 13 Pressure Drop Venturi Scrubber QL p k V QG 2 L G k 2(1 X 2 X 4 X 2 ) 3lt C Dd G X 1 16d d L lt: venturi throat length X: dimensionless throat length Ex: 10” water, 2 mm, = ? 2015/4/13 Aerosol & Particulate Research Lab 14 Venturi scrubber collecting a metallurgical fume Contacting Power Approach When compared at the same power consumption, all scrubbers give the same degree of collection of a given dispersed dust, regardless of the mechanisms involved and regardless of whether the pressure drop is obtained by high gas flow rate or high water flow rate Contacting power, hp/1000 cfm 1 exp( Nt ) Nt PT Nt: Number of transfer unit (unitless) (PT in hp / 1000 acfm) (1 inch of water = 0.1575 hp/1000 cfm) Q: Tests of a venturi scrubber show the results Friction loss (in H2O) (%) listed on the right. Estimate the contacting 12.7 56 power required to attain 97% efficiency. 38.1 89 2015/4/13 Aerosol & Particulate Research Lab 15 2015/4/13 Aerosol & Particulate Research Lab 16 Quick Reflection 2015/4/13 Aerosol & Particulate Research Lab 17