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Hindered Systems &Thickening Chapter 6 in Fundamentals Watch this lecture at http://www.vimeo.com/10201270 Visit http://www.midlandit.co.uk/particletechnology.htm for further resources. Professor Richard Holdich R.G.Holdich@Lboro.ac.uk
Introduction ,[object Object]
Porosity/voidage
and Concentration,[object Object],[object Object],[object Object]
Viscosity correction – p61
Hindered settling relations – p55
Zones in batch sedimentation – p57
Kynch's analysis – p60
Flux theory & thickener designs – p57/8,[object Object]
When a body is wholly, or partially, immersed in a fluid it experiences an upthrust equal to the weight of fluid displaced.
Buoyancy - hence buoyed weight is:,[object Object]
Viscosity correction ,[object Object]
NOT appropriate for sedimentation and filtration of a homogeneous suspension.
Krieger’s equation:Kis crowding factor 1/CMAX, and equal to 1.56 for spheres eta is intrinsic viscosity, which is 2.5 for spheres
Viscosity correction
Hindered settling relations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Zones in batch sedimentation Height Zones: Supernatant Original concentration Co Variable concentration Sediment Concentration
Learn Server YOU MUST HAVE ACCESSED THE LEARN SERVER BY NOW – YOUR LOGIN RECORD WILL BE CHECKED THIS WEEK
Kynch's analysis ,[object Object],[object Object]
Kynch's analysis ,[object Object],Height Giving: The rate at which the concentration  propagates up the vessel is equal to the differential of the ‘solids flux’ with respect to solids concentration. Time
Kynch's analysis ,[object Object],[object Object],[object Object],[object Object]
Flux theory ,[object Object]
Batch flux curveCU
Flux theory ,[object Object],m2 v/v m s-1 kg m-3           i.e. kg s-1 ,[object Object],v/v m s-1 kg m-3           i.e. kg m-2 s-1 i.e. mass flow rate of solids (per unit area) - input & output. Area and solid density are assumed to be constant - hence simply velocity by concentration (v/v) are used.
Flux theory ,[object Object],[object Object]
Flux theory ,[object Object],[object Object],[object Object],[object Object]
Coe and Clevenger ,[object Object]
Flux in feed:G = F Co G = (U + T) A C ,[object Object],G = (Uu + T) A Cu ,[object Object],[object Object]
Thickener designs - others ,[object Object],[object Object],[object Object]
Sedimentation Recap: ,[object Object]
Particles of given size settle fastest in free settling
Increasing concentration slows particles - hindered settling
If a PSD then smaller particles dragged down by the larger ones
Empirically relate U=f(C): U=Ut(1-C)n,[object Object]
http://www.filtration-and-separation.com,[object Object]
Particle Technology- Hindered Systems and Thickening
Particle Technology- Hindered Systems and Thickening
Particle Technology- Hindered Systems and Thickening
Particle Technology- Hindered Systems and Thickening
Particle Technology- Hindered Systems and Thickening

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