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Analysis, delineation and evaluation of separation processes. Separation (for instance flotation). Elements of separation process : Delineation, Analysis, Evaluation. Delineation. Quantity and quality of products. Delineation. Main feature and its building parameters.
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Analysis, delineation and evaluation of separation processes
Separation (for instance flotation)
Elements of separation process: Delineation, Analysis, Evaluation
Delineation Quantity and quality of products
Delineation Main feature and its building parameters Material main feature Other factors (fluctuations) Fields, space time provided by separator
ANALYSIS Components: type
ANALYSIS Components: features -name -quantity -quality -economical value -main feature providing separation -features forming main feature -time of components displacement -separating forces acting on components -ordering and other forces acting on components -other (temperature, pressure, etc.)
ANALYSIS Components: types and feaures fractal-like structure
ANALYSIS Features can be grouped into families
ANALYSIS Taking into account four families value Their combination provides different
ANALYSIS UPGRADING AND ITS BALANCE (Analysis of separation taking into account content (mass or similar paremeters of the system)) YIELD ()
ANALYSIS UPGRADING AND ITS BALANCE CONTENT Amount of a component (fraction, type of grain, etc.) in a product, usually in % Used symbols
Infinitive number of upgrading parameters can be derived from , and Most popular are: Recovery: Cumulative recovery Upgrading ratio k=l/a K=b/a ANALYSIS
ANALYSIS Other parameters, for instance e1-e2, l1-l2 e1/e2 ,e1e2
Typical upgrading balance (for feed and final products) ANALYSIS (%) ()/100% way of calculating content of considered component in feed
ANALYSIS Upgrading balance
ANALYSIS Principle upgrading curves constant Henry’s: = f() Mayer’s = f() Halbich’s: = f () Fuerstenau’s: 1 = f (2)
EVALUATION Henry’s
EVALUATION Mayer’s
EVALUATION Halbich’s
EVALUATION Fuerstenau’s
Upgrading (quality versus quantity) -insensitive upgrading curve) e.g. Fuerstenaua upgrading curve)
why Fuerstenau’s upgrading curve? -universal - insensitive -easy to use mathematical eqs -low self-similarity (provide real R2) -allows comparison of different comp. -and more
Fuerstenau’s (recovery-recovery or -) vs Halbich’s (grade-recovery or β- ) upgrading curves Fuerstenau’s is α-insensitive equivalent to Halbich’ upgrading curve
Fuerstenau’s and Halbich’s upgrading curves (two in one)
Mayer’s vs MDTW’s upgrading curves α-sensitive α-insensitive