JOURNAL OF CHEMICAL ENGINEERING OF JAPAN
Online ISSN : 1881-1299
Print ISSN : 0021-9592
SCALE-UP FORMULA FOR GRINDING EQUIPMENT USING SELECTION FUNCTION
TATSUO TANAKA
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1972 Volume 5 Issue 3 Pages 310-313

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Abstract
Charles'' experimental finding between the exponents of particle size in the conventional energy-size relationship and the size distribution form is dealt with on the basis of comminution kinetics. Within a reasonable range of particle size and grinding time Char- les'' finding was roughly proved, suggesting a validity in assuming the forms of selection and breakage functions.
A new expression of comminution law in terms of the power consumption, rate constant and particle size as time-variant indicates that "work index" or "grindability" cannot be consistent for a specific material. This equation was further rearranged to be a practical scaleup formula for any kind of grinding equipment as
F/KW=x0(t)m
where F is the feed, W the holdup of material crushed, K the rate constant in the selection function and x0(t) the particle size as a function of time, m being a material constant. This is convenient for practical design purposes.
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© The Society of Chemical Engineers, Japan
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