Coalescence Modelling for Settler Design David Leleu, Andreas - - PowerPoint PPT Presentation

coalescence modelling for settler design
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Coalescence Modelling for Settler Design David Leleu, Andreas - - PowerPoint PPT Presentation

Coalescence Modelling for Settler Design David Leleu, Andreas Pfennig dleleu@uliege.be Products, Environment, and Processes (PEPs) Department of Chemical Engineering Universit de Lige www.chemeng.uliege.be/Pfennig 1 agenda


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David Leleu, Andreas Pfennig dleleu@uliege.be Products, Environment, and Processes (PEPs) Department of Chemical Engineering Université de Liège www.chemeng.uliege.be/Pfennig

Coalescence Modelling for Settler Design

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agenda

 motivation  basic understanding  coalescence modelling  settler simulation

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gravity settler

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pilot-plant settler with internals

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stirring cell

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settling of dispersion

6 Henschke, 2002

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stirring-cell experiment

5 10 15 20 25 30 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18

stirring cell height in m time in s

sedimentation curve coalescence curve

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effect description influenced by frequency at which drops meet equipment type, fluid dynamics, holdup drops bounce at high relative velocity equipment type, fluid dynamics,

  • perating conditions

time drops stay in contact, tcontact equipment type, fluid dynamics,

  • perating conditions

characteristic time drops need to coalesce, tcoalescence material system, drop size

modelling coalescence of drops

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settling of dispersion

9 Henschke, 2002

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close-packed zone

 drops deformation  film drainage

Arnaud Saint-Jalmes, 2006 10

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counterflow

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continuous flow droplets εΔh  ΔPhydrostatic ΔPhydrodynamic  v ΔPtotal = Δphydrostatic -ΔPhydrodynamic

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ReDrop (Representative Drop) simulation

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definition of the system

  • material properties
  • simulation parameters

time loop local holdup evaluated for each height element drop loop

  • drop velocity
  • update of the vertical position
  • f each drop
  • coalescence evaluation
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iso-optical settling experiment

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experimental measurement of the holdup

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10 20 30 40 50 60 0.00 0.02 0.04 0.06 0.08 0.10 0.12 0.14 0.16 0.18

time in s cell height in m

0.000 0.1250 0.2500 0.3750 0.5000 0.6250 0.7500 0.8750 1.000

measured hold up

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settling simulation

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20 40 60 80 100 120 20 40 60 80 100 120 140 160 180

time in s cell heigth in mm

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summary

 consistent coalescence model  calibrated setup for model validation  simulation tool based on ReDrop  model able to characterize settling

behavior for any system

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David Leleu, Andreas Pfennig dleleu@uliege.be Products, Environment, and Processes (PEPs) Department of Chemical Engineering Université de Liège www.chemeng.uliege.be/Pfennig

Coalescence Modelling for Settler Design

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coalescence probability: fundamental

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pcoalescence,Coulaloglou&Tavlarides = exp − tcoalescence tcontact

Coulaloglou & Tavlarides, Chem. Eng. Sci., 1977

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coalescence probability: fundamental

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pnon−coal,Δt = exp − Δt tcoal pcoal = 1− exp − tcontact tcoal pnon−coal = exp − tcontact tcoal

∆t n= tcontact Δt tcontact

pnon−coal,nΔt = pnon−coal,Δtn pnon−coal,nΔt = exp − nΔt tcoal