A study of inertial effects in granular bed filtration
The filtration efficiency of a granular bed filter was investigated in the domain where inertial effects are dominant. A filtration model predicting single sphere and total bed efficiencies based on trajectory calculations of dust particles in the voids of the granular bed was developed. The model uses the flow field in a bed of spheres arranged in a body-centered cubic array for which the filtration efficiency was found to be a function of a modified Stokes number defined by St' = St X F where the function F depends only on the Reynolds number. The value of the function F can be found experimentally or predicted from the Ergun correlation to be F = 1 + 0.0157 Re. The filtration efficiency calculated using the model agrees well with experimental results obtained in beds of dense cubic packing of spheres especially at relatively low Reynolds numbers (Re < 200) and relatively high Stokes numbers (St' > 0.01). The prediction of the theoretical model also agrees well with experimental data for randomly packed beds at low porosities and low Reynolds numbers.
- Research Organization:
- Department of Chemical Engineering, City College of the City University of New York, New York, NY
- OSTI ID:
- 6300029
- Journal Information:
- A.E.Ch.E. J.; (United States), Journal Name: A.E.Ch.E. J.; (United States) Vol. 31:7; ISSN AICEA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
DENSITY
DUSTS
EFFICIENCY
FILTERS
FILTRATION
FLOW MODELS
FLUID MECHANICS
GRANULAR BED FILTERS
HYDRAULIC CONDUCTIVITY
HYDRAULICS
MATHEMATICAL MODELS
MECHANICAL FILTERS
MECHANICS
MOMENT OF INERTIA
PHYSICAL PROPERTIES
POROSITY
REYNOLDS NUMBER
SEPARATION PROCESSES
SPHERES
STOKES LAW