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	ウォッシャビリティ分析	浮選速度論	ロジン・ラムラー分布	トロンプ曲線
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	1950	1935	1933	1937
提唱者	Mining Industry Practice (1930s-1960s)	Garcia-Zuniga	Paul Rosin and Erich Rammler	K. Tromp
種類	Separation analysis by density fractionation	First-order kinetic model for flotation recovery	Empirical probability distribution for crushed material fineness	Empirical model for size classifier performance
原典	McCullough, R. B. (1963). The theoretical basis and practical application of coal washability studies. Transactions of the Society of Mining Engineers, 226, 13-26.	Garcia-Zuniga, H. (1935). Uber eine neue Methode, zur Berechnung der Flotationsausbeute. Zeitschrift fur Praktische Geologie, 43(2), 12-19.	Rosin, P., & Rammler, E. (1933). The laws governing the fineness of powdered coal. Journal of the Institute of Fuel, 7, 29-36.	Tromp, K. (1937). Separation of fine particles from slurries by hydrocyclone. Colliery Guardian, 155(4), 251-256.
別名	Coal Washability, Density Separation Analysis, Float-Sink Analysis	Batch Flotation Model, Flotation Rate Constants, Kinetic Flotation Analysis	Rosin-Rammler Model, RRS Distribution, Weibull Distribution (particle size)	Partition Curve, Classification Efficiency Curve, Grade Recovery Curve
関連	3	3	3	3
概要	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.	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 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.	The Tromp Curve, introduced by K. Tromp in 1937, is an empirical model that quantifies the performance of size classifiers (cyclones, screens, jigs) by showing the fraction of particles at each size that report to the target stream (overflow or underflow). It is universally used in mineral processing to evaluate classifier performance, design circuits, and diagnose operational problems.