{"id":7453,"date":"2019-08-30T11:18:48","date_gmt":"2019-08-30T03:18:48","guid":{"rendered":"https:\/\/www.jxscmachine.com\/?post_type=new&p=7453"},"modified":"2026-06-30T16:44:46","modified_gmt":"2026-06-30T08:44:46","slug":"calculo-de-la-seleccion-de-parametros-del-molino-de-bolas","status":"publish","type":"new","link":"https:\/\/www.jxscmachine.com\/es\/new\/ball-mill-parameter-selection-calculation\/","title":{"rendered":"Selecci\u00f3n de par\u00e1metros del molino de bolas - Potencia, velocidad de rotaci\u00f3n, bolas de acero"},"content":{"rendered":"

Introducci\u00f3n<\/h2>\n

Ball mill parameter selection<\/strong> is crucial for achieving optimal grinding efficiency and production capacity in mineral processing operations. This comprehensive guide explores key calculations for determining mill capacity, power consumption, rotational speed, and steel ball loading\u2014all essential factors that influence operational performance. By understanding these parameters and their interdependencies, engineers can optimize grinding processes to enhance productivity while minimizing energy costs. The following sections provide detailed methodologies and reference tables for practical implementation.<\/p>\n

 <\/p>\n

1. Calculation of Ball Mill Capacity<\/h2>\n

The production capacity of the ball mill is determined by the amount of material required to be ground, and it must have a certain margin when designing and selecting.<\/strong> There are many factors affecting the production capacity of the molino de bolas<\/a>, in addition to the nature of the material<\/em><\/strong> (grain size, hardness, density, temperature and humidity), the degree of grinding<\/strong><\/em> (product size), the uniformity of the feeding material<\/strong><\/em>, the portion of loaded<\/strong><\/em>y the mill structure<\/strong><\/em> (the mill barrel length, diameter ratio, the number of bins, the shape of the partition plate and the lining plate).
\nEs dif\u00edcil determinar te\u00f3ricamente la productividad del molino. Por lo general, la capacidad de producci\u00f3n del molino se calcula a partir del mineral en polvo reci\u00e9n generado de menos de 0,074 mm (-200 mallas).<\/p>\n

\"\"<\/p>\n

 <\/p>\n

V - Volumen efectivo del molino de bolas, m3;
\nG2 - El material inferior a 0,074 mm en el producto representa el porcentaje del material total, %;
\nG1 - El material inferior a 0,074 mm en la alimentaci\u00f3n de mineral representa 0,074 mm en el porcentaje del material total, %;
\nq'm - Productividad unitaria calculada seg\u00fan el grado de nueva generaci\u00f3n (0,074mm), t\/(m3.h).
\nLos valores de q'm se determinan mediante experimentos o se calibran en producci\u00f3n con propiedades f\u00edsicas del mineral similares y los mismos equipos y condiciones de trabajo. Cuando no se dispone de datos de ensayo y valor de calibraci\u00f3n en producci\u00f3n, puede calcularse mediante la f\u00f3rmula (1-3).<\/p>\n

 <\/p>\n

\"c\u00e1lculo<\/p>\n

 <\/p>\n

Di1- Di\u00e1metro est\u00e1ndar del molino, m;
\nK’4 — feed size and product size coefficient of the mill.<\/p>\n

\"c\u00e1lculo<\/p>\n

G3 G4 — The production capacity of existing or experimental mills with newly designed parameters (feed size or product size calculated according to the new generation 0.074mm level) is shown in Table 1-6<\/strong>.
\nThe values of G1 and G2 above should be calculated according to actual data. If there is no actual data, they can be selected according to Tables 1-7 and 1-8<\/strong>.<\/p>\n

Tabla 1-4 Coeficiente de dificultad de molienda del mineral (K'1)<\/strong><\/p>\n\n\n\n\n\n\n\n
Dureza del mineral<\/td>\nDificultad de molienda del mineral
\nCoeficiente (K'1)<\/td>\n		Dureza del mineral<\/td>\nDificultad de molienda del mineral
\nCoeficiente (K'1)<\/td>\n<\/tr>\n
Protodyakonov
\ncoeficiente<\/td>\n		Nivel de dureza<\/td>\nProtodyakonov
\ncoeficiente<\/td>\n		Nivel de dureza<\/td>\n<\/tr>\n
<2<\/td>\nmuy suave<\/td>\n1.4-2.0<\/td>\n8-10<\/td>\nduro<\/td>\n0.75-0.85<\/td>\n<\/tr>\n
2-4<\/td>\nsuave<\/td>\n1.25-1.5<\/td>\n>10<\/td>\nmuy duro<\/td>\n0.5-0.7<\/td>\n<\/tr>\n
4-8<\/td>\nmedio<\/td>\n1.0<\/td>\n <\/td>\n <\/td>\n <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Tabla 1-5 Coeficiente de correcci\u00f3n del molino (K'2)<\/strong><\/p>\n\n\n\n\n
Tipo de molino<\/td>\nMolino de bolas de parrilla<\/td>\nMolino de bolas de desbordamiento<\/td>\nMolino de barras<\/td>\n<\/tr>\n
K'2<\/td>\n1.0<\/td>\n0.9<\/td>\n0.85<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Cuadro 1-6 Capacidad de producci\u00f3n relativa del tama\u00f1o del pienso y del tama\u00f1o del producto (G3 o G4)<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Tama\u00f1o de la alimentaci\u00f3n
\n\/mm<\/td>\n		Product Size\/mm<\/td>\n<\/tr>\n
0.4<\/td>\n0.3<\/td>\n0.2<\/td>\n0.15<\/td>\n0.10<\/td>\n0.074<\/td>\n<\/tr>\n
Contenido de -0,074 mm (%)<\/td>\n<\/tr>\n
40<\/td>\n48<\/td>\n60<\/td>\n72<\/td>\n85<\/td>\n95<\/td>\n<\/tr>\n
40-0<\/td>\n0.77<\/td>\n0.81<\/td>\n0.83<\/td>\n0.81<\/td>\n0.80<\/td>\n0.78<\/td>\n<\/tr>\n
Tama\u00f1o de la alimentaci\u00f3n
\n\/mm<\/td>\n		Product Size\/mm<\/td>\n<\/tr>\n
0.4<\/td>\n0.3<\/td>\n0.2<\/td>\n0.15<\/td>\n0.10<\/td>\n0.074<\/td>\n<\/tr>\n
Contenido de -0,074 mm (%)<\/td>\n<\/tr>\n
40<\/td>\n48<\/td>\n60<\/td>\n72<\/td>\n85<\/td>\n95<\/td>\n<\/tr>\n
0.77<\/td>\n0.81<\/td>\n0.83<\/td>\n0.81<\/td>\n0.80<\/td>\n0.78<\/td>\n<\/tr>\n
20-0<\/td>\n0.89<\/td>\n0.92<\/td>\n0.92<\/td>\n0.88<\/td>\n0.86<\/td>\n0.82<\/td>\n<\/tr>\n
10-0<\/td>\n1.02<\/td>\n1.03<\/td>\n1.00<\/td>\n0.93<\/td>\n0.90<\/td>\n0.85<\/td>\n<\/tr>\n
5-0<\/td>\n1.15<\/td>\n1.13<\/td>\n1.05<\/td>\n0.95<\/td>\n0.91<\/td>\n0.85<\/td>\n<\/tr>\n
3-0<\/td>\n1.19<\/td>\n1.16<\/td>\n1.06<\/td>\n0.95<\/td>\n0.91<\/td>\n0.85<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Cuadro 1-7 Granulometr\u00eda de los productos triturados y valor G1 del contenido de grado 0,074 mm<\/strong><\/p>\n\n\n\n\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n
Viscosidad del mineral triturado<\/td>\n40-0<\/td>\n20-0<\/td>\n10-0<\/td>\n5-0<\/td>\n3-0<\/td>\n<\/tr>\n
Grado 0,074 mm
\ncontenido G1 (%)<\/td>\n		Mineral refractario<\/td>\n2<\/td>\n5<\/td>\n8<\/td>\n10<\/td>\n15<\/td>\n<\/tr>\n
Mineral refractario medio<\/td>\n3<\/td>\n6<\/td>\n10<\/td>\n15<\/td>\n23<\/td>\n<\/tr>\n
mineral de f\u00e1cil trituraci\u00f3n<\/td>\n5<\/td>\n8<\/td>\n15<\/td>\n20<\/td>\n25<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/h2>\n

2. C\u00e1lculo de la potencia, velocidad y carga media del molino de bolas<\/h2>\n

2.1 C\u00e1lculo de la potencia<\/h3>\n

\"c\u00e1lculo
\nG' - la cantidad de medio y material de carga, T;
\nDm - di\u00e1metro interior efectivo del barril del molino, m;
\nK’5 — grinding medium coefficient, check table 1-9<\/strong>.<\/p>\n

 <\/p>\n

Tabla 1-9 Coeficiente del medio abrasivo K' 5<\/strong><\/p>\n\n\n\n\n\n\n
Tipo de medio | Velocidad de llenado<\/td>\n0.1<\/td>\n0.2<\/td>\n0.3<\/td>\n0.4<\/td>\n0.5<\/td>\n<\/tr>\n
Piedra sil\u00edcea<\/td>\n13.3<\/td>\n12.25<\/td>\n11.0<\/td>\n9.5<\/td>\n7.8<\/td>\n<\/tr>\n
Gran bola de acero<\/td>\n11.9<\/td>\n11.0<\/td>\n9.9<\/td>\n8.5<\/td>\n7.0<\/td>\n<\/tr>\n
bola de acero peque\u00f1a<\/td>\n11.5<\/td>\n10.6<\/td>\n9.5<\/td>\n8.2<\/td>\n6.8<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

When the filling rate of the grinding medium is less than 35% in a dry grinding operation, the power can be calculated by formula (1-7).<\/p>\n

\"c\u00e1lculo<\/p>\n

n -- velocidad del molino, r\/min;
\nG\" -- Medio de molienda total, T;
\n\u03b7 -- Eficiencia mec\u00e1nica, cuando el accionamiento central, \u03b7 = 0,92-0,94; cuando el accionamiento de borde, \u03b7 = 0,86-0,90.<\/p>\n

 <\/p>\n

2.2 C\u00e1lculo de la velocidad de rotaci\u00f3n del molino de bolas<\/h3>\n

Velocidad cr\u00edtica<\/strong>
\nCuando el cilindro del molino de bolas gira, no hay deslizamiento relativo entre el medio de molienda y la pared del cilindro, y \u00e9ste empieza a girar con el cilindro del molino. Esta velocidad instant\u00e1nea del molino es la siguiente:<\/p>\n

\"c\u00e1lculo<\/p>\n

N0 -- velocidad de trabajo del molino, r\/min;
\nK'b - relaci\u00f3n de velocidad, %.
\nThere are many layers of grinding media in the mill barrel. It is assumed that the media will be concentrated in one layer, called the “polycondensation layer”, so that the grinding media of this layer will be at the maximum drop, i.e., the calculating speed of the mill when the total impact energy is the largest nj.<\/p>\n

\"c\u00e1lculo<\/p>\n

Por lo tanto, se deduce te\u00f3ricamente que la velocidad de trabajo razonable es<\/p>\n

\"c\u00e1lculo<\/p>\n

The working speeds of various mills are shown in Table 1-10<\/strong>.<\/p>\n

Tabla 1-10 Velocidades de trabajo de varios molinos<\/strong><\/p>\n\n\n\n\n
Tipo de molino<\/td>\nMolino de bolas<\/td>\nMolino de barras<\/td>\nMolino tubular<\/td>\n<\/tr>\n
Velocidad de trabajo n0<\/td>\n(0,76-0,88)nj<\/span><\/td>\n(0,65-0,70)nj<\/td>\n(0,68-0,76)nj<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

In production practice, there are many factors affecting the motion state of grinding media. Therefore, the appropriate working speed should be selected according to the actual situation. In determining the actual working speed of the mill, the influences of the mill specifications, production methods, liner forms, grinding media types, filling rate, physical and chemical properties of the ground materials, particle size of the grinding materials, and grinding fineness of the products should be taken into account. The actual working speed of the mill should be determined by scientific experiments, which can reflect the influence of these factors more comprehensively.<\/p>\n

 <\/p>\n

2.3 Quantity of Loading Medium<\/h3>\n

Capacidad de carga de bolas<\/strong>
\nThe volume of the grinding medium is the percentage of the effective volume of the mill, which is called the filling rate of the grinding medium.<\/strong> The size of the filling directly affects the number of shocks, the area of grinding, and the load of the grinding medium in the grinding process. At the same time, it also affects the height of the grinding medium itself, the impact on the material, and the power consumption. 
\nLa capacidad de carga de bolas del molino puede calcularse seg\u00fan la f\u00f3rmula (1-14).<\/p>\n

\"ball-mill-parameter-calculation-2-6\"<\/p>\n

Gra - Cantidad de medio de molienda, T.
\nRho
\ns — loose density of grinding medium, t\/m3.
\nForged steel balls; P=s=4.5-4.8t\/m3
\ncast steel balls P=4.3-4.6t\/m3;
\nrolling steel balls P=6.0-6.8t\/m3;
\nsteel segments P=4.3-4.6t\/m3<\/p>\n

Filling Ratio of The Grinding Medium<\/strong><\/p>\n

When wet grinding:<\/strong> lattice ball mill pi = 40% – 45%; overflow ball mill phi = 40%; rod mill phi = 35%.<\/p>\n

Dry grinding:<\/strong> When material is mixed between grinding media, the grinding medium expands, and when dry grinding is adopted, the material fluidity is relatively poor, and the material flow is hindered by the abrasive medium, so the filling rate is low, and the filling rate is between 28% and 35%. The pipe mill is 25%-35%. The void fraction of grinding medium_k=0.38-0.42 and the quality of crushed material accounts for about 14% of the quality of grinding medium.<\/p>\n

Tama\u00f1o y proporci\u00f3n del medio de molienda<\/strong>
\nIn the ball mill, the size and proportion of steel balls have a great influence on the productivity and working efficiency of the mill. For coarse and hard materials, larger steel balls should be selected; for fine and brittle materials, with smaller diameter steel balls, the impact times of steel balls in the mill increase with the decrease of ball diameter, and the grinding between balls increases. The clearance is dense with a decrease in spherical diameter. Therefore, it is better to choose the ball with a larger mass and smaller diameter (lower density) as the grinding medium. The size of the ball mainly depends on the particle size of the material to be ground, and the diameter and speed of the mill can be considered appropriately. Formula (1-15) is an empirical formula for spherical diameter and feed size.<\/p>\n

\"c\u00e1lculo<\/p>\n

dmax — The maximum diameter of the steel ball, mm;
\namax - el tama\u00f1o m\u00e1ximo de la granularidad de alimentaci\u00f3n, en mm.
\nAfter calculating the maximum steel ball diameter, the steel ball ratio in the mill can be calculated with reference to Fig. 2-1 (suitable for cement mill; other mills can refer to).<\/p>\n

\"c\u00e1lculo<\/p>\n

 <\/p>\n

Despu\u00e9s de elegir el di\u00e1metro m\u00e1ximo y el di\u00e1metro m\u00ednimo de las bolas de acero de acuerdo con los requisitos tecnol\u00f3gicos, las propiedades de los materiales, las especificaciones del molino y diversos par\u00e1metros, y luego hacer coincidir el grado, utilizando curvas, se puede encontrar el porcentaje acumulativo de la masa de cada una de las bolas de acero correspondientes cargadas en el molino, se puede calcular el porcentaje real de la masa, y se puede obtener la calidad de carga de las bolas de acero en todos los niveles.
\nAccording to the production practice of production enterprises, the relationship between ball diameter and material size is shown in Table 1-11.<\/strong> 
\nSteel balls are gradually worn out in the process of grinding materials. The wear of a drop steel ball is related to its impact force. The wear of grinding steel balls is related to the surface area of the steel balls. In general, the steel ball in the grinder has both impact and abrasion effects, so the wear is proportional to the n power of the diameter of the steel ball, and the value of n is between 2 and 3.<\/p>\n

Tabla 1-11 Relaci\u00f3n entre el di\u00e1metro de la bola de acero y el tama\u00f1o del material<\/strong><\/p>\n\n\n\n\n
Di\u00e1metro de la bola de acero
\ndb\/mm<\/td>\n		120<\/td>\n100<\/td>\n90<\/td>\n80<\/td>\n70<\/td>\n60<\/td>\n50<\/td>\n40<\/td>\n<\/tr>\n
Tama\u00f1o de la alimentaci\u00f3n
\n\/mm<\/td>\n		12-20<\/td>\n10-12<\/td>\n8-10<\/td>\n5-8<\/td>\n2.5-6<\/td>\n1.2-4<\/td>\n0.6-2<\/td>\n0.3-1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

The quality and surface area of forged steel balls of various sizes are shown in Table 1-12<\/strong>.
\nDebido al desgaste de las bolas de acero en el proceso de producci\u00f3n del molino, para mantener la estabilidad del molino. Es necesario a\u00f1adir bolas de acero con regularidad.
\nEl di\u00e1metro m\u00e1ximo de las bolas de acero adicionales se sigue determinando por el m\u00e9todo antes mencionado. Adem\u00e1s de la adici\u00f3n de bolas de acero adicionales, deben a\u00f1adirse varias bolas de acero de menor di\u00e1metro seg\u00fan la experiencia de producci\u00f3n.<\/p>\n

 <\/p>\n

Table 1-12: Quality and Surface Area of Steel Balls<\/strong>\"Calidad<\/p>\n

 <\/p>\n

Conclusi\u00f3n<\/h2>\n

Proper selection of ball mill parameters requires balancing theoretical principles with practical adjustments based on material properties and operational conditions. Regular monitoring of steel ball wear, mill speed, and power draw ensures sustained efficiency. By leveraging the calculations and reference data provided in this guide, operators can tailor grinding processes to their specific needs, ultimately improving throughput and reducing operational costs. For further optimization, always validate theoretical models with real-world performance metrics and adjust parameters iteratively.<\/p>\n

\n

JXSC<\/strong> has supplied ball mill, rod mills for 40+ years. Contact us for a quotation.
\nProductos calientes<\/a>: trituradora de mand\u00edbulas, trituradora de impacto, trituradora de cono, molino de bolas, mesa vibratoria, separador centr\u00edfugo, jig, separador magn\u00e9tico, flotaci\u00f3n, trommel de oro, depuradora trommel, planta de lavado de oro, etc.<\/p>","protected":false},"excerpt":{"rendered":"

Introduction Ball mill parameter selection is crucial for achieving optimal grinding efficiency and production capacity in mineral processing operations. This comprehensive guide explores key calculations for determining mill capacity, power consumption, rotational speed, and steel ball loading\u2014all essential factors that influence operational performance. By understanding these parameters and their interdependencies, engineers can optimize grinding processes … Sigue leyendo Selecci\u00f3n de par\u00e1metros del molino de bolas - Potencia, velocidad de rotaci\u00f3n, bolas de acero<\/span><\/a><\/p>","protected":false},"author":1,"featured_media":7527,"parent":0,"menu_order":303,"comment_status":"open","ping_status":"open","template":"","format":"standard","meta":{"_acf_changed":false,"ngg_post_thumbnail":0,"footnotes":""},"categories":[],"tags":[],"class_list":["post-7453","new","type-new","status-publish","format-standard","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"\nBall Mill Parameter Selection & Calculation - JXSC Machine<\/title>\n<meta name=\"description\" content=\"Explore ball mill parameter selection and calculation: capacity, power consumption, rotational speed, and steel ball loading.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.jxscmachine.com\/es\/nuevo\/calculo-de-la-seleccion-de-parametros-del-molino-de-bolas\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ball Mill Parameter Selection & Calculation - 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