AGITATION AND MIXING OF FLUIDS - Cvut.cz

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AGITATION AND MIXING OFFLUIDSPurpose of agitation: intensification of transport processes in agitated batch (heat and mass transfer) preparation of materials of required properties (suspension, emulsion)Examples of industrial applications: blending of two miscible liquids as ethyl alcohol and water dissolving solids in liquids, such as salt in water dispersing a gas in a liquid as fine bubbles, such as oxygen fromair in a suspension of microorganisms for fermentation or for theactivated sludge process in waste treatment liquid-liquid dispersion, such as dispersion of pigment in solvents suspending of fine solid particles in a liquid, as in catalytichydrogenation of a liquid agitation of the fluid to increase heat tranfer between the fluid anda coil or jacket in the vessel wall

Method of mixing fluids mechanical mixing (rotating, vibrating) hydraulic mixing pneumatic mixing pipeline mixing (turbulent flow, static mixer)A – mechanical mixing usingturbinesB – mechanical mixing usingblade impellersC – hydraulic mixingD – pneumatic mixing withstationary inputsE – pneumatic mixing withautomatic regulationF – hydraulic mixing withantifoaming shower

Pipeline mixing – Reynolds experimentsPaul, E. L., Atiemo-Obeng, V. A., Kresta, S. M.:Handbook of industrial mixing: science andpractice. Canada: Wiley-Interscience, 2003,1377 p. ISBN 0-471-26919-0

Flow in agitated batcha – axial-flow pattern, baffled vessel, b – radial-flow pattern, baffled vessel,c – tangential-flow pattern, unbaffled vessel

Equipment for mechanical mixingDesign layout of mixing equipmentsABCA – Centrally placed impeller in bafled vessel, B – Side-entring propeller, C – Agitatorwith draught tubeMechanical sealABA – Equipment with a drive at the top, B – Equipment with a drive at the bottom

Design layout of agitatorsClose clearance agitatorHigh-speed impeller

Maine type of close clearance agitatorsNo.Layout of agitatorName1Anchor (paddle)agitatorCVS 69 10142Helical-screw agitatorwith draught tubeCVS 69 10283Eccentrically placedhelical-screw agitatorT/dGeometricalparameters1,11hv / d 0,8h / d 0,12H 2 / d 0,0552hv / d 1,5s/d 1D / d 1,1H / D 1,152hv / d 1,5H 2 / d 0,25s/d 1c / T 0,02

T/dGeometricalparameters4Helical-ribbonagitatorCVS 69 10291,05hv / d 1s/d 1h / d 0,15Leaf agitatorCVS 69 10162h/d 12h / d 0,2hv / d 1,65 45 45 c / T 0,02H 2 / d 0,175No.6Layout of agitatorNameMulti-stage agitator

Main type of high-speed impellersT/dGeometricalparameters1Six-blade turbinewith disk (Ruschtonturbine)CVS 69 10213 4h / d 0,21 / d 0,25d1 / d 0,756 blades2Six-blade openturbine3 4h / d 0,26 blades3Pitched six-bladeturbine with pitchangle 45CVS 69 10203 4h / d 0,20 45 No.Layout of impellerName

No.456Layout of impellerNameT/dGeometricalparametersPitched three-bladeturbine with pitchangle 45 CVS 69 1025.33 4h / d 0,2 45 3 4s/d 1h / d 0,22R / d 0,4R1 / R 0,16PropellerCVS 69 1019High shear stressimpellerCVS 69 1038.1, .22 41st varianth / d 0,1d 2 / d 0,82nd varianth / d 0,075d 2 / d 0,85

Characteristics of mixing systemPower consumption of agitatorPPo n3d 5creepingflowPo f Re transitionzone of flowRe nd 2 turbulentflowPo B const.APo Rebaffledvesselunbaffledvessel

Power characteristics of close clearance agitators1 – anchor agitator (CVS 69 1014), 2 – helical-screw agitator with draught tube (CVS69 1028), 3 – eccentrically placed helical-screw agitator, 4 – helical-ribbon agitator(CVS 69 1029), 5 – leaf agitator (CVS 60 1016), 6 – multi-stage agitator

Power characteristics of high-speed impellers operated in baffled vessel1 – six-blade turbine with disk (Ruschton turbine) (CVS 69 1021), 2 – six-blade openturbine, 3 – pitched six-blade turbine with pitch angle 45 (CVS 69 1020),4 – Pitched three-blade turbine with pitch angle 45 (CVS 69 1025.3), 5 – propeller(CVS 60 1019), 6a,b – high shear stress impeller (CVS 69 1038.1.2)

Blending effect of agitatorDuring homogenization (or blending) of miscible liquids are compensated temperature andconcentration differences in agitated batch.Homogenization of miscible liquids: due to recirculation flow (convective diffusion) due to turbulent flow (turbulent diffusion) due to molecular diffusiont n t m f Re t n t m konst.t n t m konst.

Homogenization characteristics of agitatorst n t m f Re 1 – helical-screw agitator with draught tub (CVS 69 1028), 2 – eccentrically placedhelical-screw agitator, 3 – helical-ribbon agitator (CVS 69 1029), 4 – eccentricallyplaced multi-stage agitator, 5 – anchor agitator (CVS 69 1014), 6 – six-blade turbinewith disk (Ruschton turbine) (CVS 69 1021)

E P tm1 – helical-screw agitator with draught tub (CVS 69 1028), 2 – eccentrically placedhelical-screw agitator, 3 – helical-ribbon agitator (CVS 69 1029), 4 – eccentricallyplaced multi-stage agitator, 5 – anchor agitator (CVS 69 1014), 6 – six-blade turbinewith disk (Ruschton turbine) (CVS 69 1021)

Mixing of heterogenous batchHeterogeneous batch: liquid – gas liquid – liquid (emulsion) liquid – solids (suspension)Purpose of agitation Intensification of mass transferm S A

Dispersion of gas in liquid Flooding of impellerV g d 16,6Fr 3nd T 3, 4 Recommended gas flow-rate VVM 1 1,5(volumetric flow of gas per liquid volume per minute) Size of dispersed bubbles dbe.g. water – air: (P/V) –0,4 0,6 cv0,5 4d b 4,15 0, 2 9 10 P / V 0, 4

Impeller power consumption for gas – liquid dispersing V g f 3 nd P Pg

Dispersion of liquid – liquid systems(preparation of emulsion)Size of dispersed liquid drops balance of dynamic and surface forces35 2 5d 32 c n2d 3 cWe d32 3 5 Wed

Limits of dispergation technology andequipment

Impeller power consumption for liquid – liquid dispersingPPo mix n 3 d 5Po f Re mix cv d 1 cv cRe nd 2 mix mix

Mixing of suspension

Just-suspended impeller speed n2dFr g dp Fr C D C A exp B cv cc Tp/D0,1

Impeller power consumption for mixing of suspensionPPo su n 3d 5Po f Re su cv s 1 cv Re nd 2 su

Scale-up of mixing processes

EXAMPLE: Blending efficiency of impellersSelect type of high-speed impeller with minimum energetic requirementsfor continual blending (homogenization) of two miscible liquids A B ( 5mPa·s, 1100 kg·m-3) with flow rate of mixture 10 l·s-1. For suitable degreeof homogenization must be residence time of liquids in equipment 5 x longerthan blending time. Mixing equipment has standard geometrical configuration(baffled cylindrical vessel with diameter T 1200 mm, T/d 3.3; H2/d 1, H/T 1 ).Dimensionless blending time of high-speed impellers in turbulent flow regimeType of impellerSix-blade turbine with disk (Ruschtonturbine), CVS 69 1021Pitched six-blade turbine with pitchangle 45, CVS 69 1020Pitched three-blade turbine with pitchangle 45 , CVS 69 1025.3T/dH2/dn·tm3.3151.83.3153.13.3160.5

mechanical mixing (rotating, vibrating) hydraulic mixing pneumatic mixing pipeline mixing (turbulent flow, static mixer) Method of mixing fluids A –mechanical mixing using turbines B –mechanical mixing using blade impellers C –hydraulic mixing D –pneumatic mixing with stationary inputs

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