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	浮選速度論	ボンド・ワーク・インデックス	ロジン・ラムラー分布	ウォッシャビリティ分析
分野	鉱山工学	鉱山工学	鉱山工学	鉱山工学
系統	Process / pipeline	Process / pipeline	Process / pipeline	Process / pipeline
提唱年	1935	1952	1933	1950
提唱者	Garcia-Zuniga	Fred C. Bond	Paul Rosin and Erich Rammler	Mining Industry Practice (1930s-1960s)
種類	First-order kinetic model for flotation recovery	Empirical method for grinding energy estimation	Empirical probability distribution for crushed material fineness	Separation analysis by density fractionation
原典	Garcia-Zuniga, H. (1935). Uber eine neue Methode, zur Berechnung der Flotationsausbeute. Zeitschrift fur Praktische Geologie, 43(2), 12-19.	Bond, F. C. (1952). The third theory of comminution. Transactions of the American Institute of Mining and Metallurgical Engineers, 193, 484-494.	Rosin, P., & Rammler, E. (1933). The laws governing the fineness of powdered coal. Journal of the Institute of Fuel, 7, 29-36.	McCullough, R. B. (1963). The theoretical basis and practical application of coal washability studies. Transactions of the Society of Mining Engineers, 226, 13-26.
別名	Batch Flotation Model, Flotation Rate Constants, Kinetic Flotation Analysis	Bond Work Index, BWI, Bond Index Test	Rosin-Rammler Model, RRS Distribution, Weibull Distribution (particle size)	Coal Washability, Density Separation Analysis, Float-Sink Analysis
関連	3	3	3	3
概要	Flotation kinetics is the study of how recovery of minerals from ore changes over time during flotation. The Garcia-Zuniga model, introduced in 1935, describes recovery as a first-order kinetic process with rate constant k and maximum recoverable fraction R∞. This simple model underpins flotation cell design and process optimization, enabling engineers to predict flotation performance from batch tests and scale results to industrial circuits.	The Bond Work Index, introduced by Fred C. Bond in 1952, is an empirical parameter that characterizes the resistance of an ore to grinding in a tumbling mill. It is defined as the kilowatt-hours per short ton (kWh/st) of electrical energy required to reduce a coarse ore from theoretically infinite size to 80% passing 100 micrometers. The Bond Index is foundational in mineral processing plant design and cost estimation worldwide.	The Rosin-Rammler Distribution, introduced by Paul Rosin and Erich Rammler in 1933, is an empirical probability distribution that describes the particle size distribution of ground or crushed materials. It characterizes fineness by two parameters: the characteristic size (d-prime) and the uniformity index (n). This distribution is remarkably accurate for mineral processing streams and is ubiquitous in comminution engineering.	Washability analysis is a laboratory method that determines the feasibility and efficiency of density-based separation for coal or mineral beneficiation. By fractionating ore or coal into density bins using sink-float tests and assaying each fraction, engineers can optimize design of separation plants (dense-medium cyclones, jigs, spirals) and predict clean product quality. Washability curves are essential tools for pre-feasibility and detailed design studies.