قارن الطرق

	منحنى ترومب	توزيع روزين-رامبلر	تحليل قابلية الغسل
المجال	هندسة التعدين	هندسة التعدين	هندسة التعدين
العائلة	Process / pipeline	Process / pipeline	Process / pipeline
سنة النشأة	1937	1933	1950
صاحب الطريقة	K. Tromp	Paul Rosin and Erich Rammler	Mining Industry Practice (1930s-1960s)
النوع	Empirical model for size classifier performance	Empirical probability distribution for crushed material fineness	Separation analysis by density fractionation
المصدر التأسيسي	Tromp, K. (1937). Separation of fine particles from slurries by hydrocyclone. Colliery Guardian, 155(4), 251-256.	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.
الأسماء البديلة	Partition Curve, Classification Efficiency Curve, Grade Recovery Curve	Rosin-Rammler Model, RRS Distribution, Weibull Distribution (particle size)	Coal Washability, Density Separation Analysis, Float-Sink Analysis
ذات صلة	3	3	3
الملخص	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.	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.