{"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":"calcul-de-la-selection-des-parametres-dun-broyeur-a-boulets","status":"publish","type":"new","link":"https:\/\/www.jxscmachine.com\/fr\/new\/ball-mill-parameter-selection-calculation\/","title":{"rendered":"S\u00e9lection des param\u00e8tres du broyeur \u00e0 boulets - Puissance, vitesse de rotation, boulets d'acier"},"content":{"rendered":"

Introduction<\/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 broyeur \u00e0 boulets<\/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>et 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).
\nIl est difficile de d\u00e9terminer th\u00e9oriquement la productivit\u00e9 du broyeur. La capacit\u00e9 de production du broyeur est g\u00e9n\u00e9ralement calcul\u00e9e sur la base du minerai en poudre nouvellement produit de moins de 0,074 mm (-200 mesh).<\/p>\n

\"\"<\/p>\n

 <\/p>\n

V - Volume effectif du broyeur \u00e0 boulets, m3 ;
\nG2 - Les mat\u00e9riaux de moins de 0,074 mm repr\u00e9sentent le pourcentage du total des mat\u00e9riaux, % ;
\nG1 - Les mat\u00e9riaux inf\u00e9rieurs \u00e0 0,074 mm dans l'alimentation du minerai repr\u00e9sentent 0,074 mm dans le pourcentage du mat\u00e9riau total, % ;
\nq'm - Productivit\u00e9 unitaire calcul\u00e9e selon le grade de nouvelle g\u00e9n\u00e9ration (0,074mm), t\/(m3.h).
\nLes valeurs de q'm sont d\u00e9termin\u00e9es par des exp\u00e9riences ou sont calibr\u00e9es en production avec des propri\u00e9t\u00e9s physiques de minerai similaires et le m\u00eame \u00e9quipement et les m\u00eames conditions de travail. En l'absence de donn\u00e9es d'essai et de valeur d'\u00e9talonnage de la production, elle peut \u00eatre calcul\u00e9e \u00e0 l'aide de la formule (1-3).<\/p>\n

 <\/p>\n

\"calcul<\/p>\n

 <\/p>\n

Di1- Diam\u00e8tre standard du broyeur, m ;
\nK’4 — feed size and product size coefficient of the mill.<\/p>\n

\"calcul<\/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

Tableau 1-4 Coefficient de difficult\u00e9 de broyage du minerai (K'1)<\/strong><\/p>\n\n\n\n\n\n\n\n
Duret\u00e9 du minerai<\/td>\nDifficult\u00e9 de broyage du minerai
\nCoefficient (K'1)<\/td>\n		Duret\u00e9 du minerai<\/td>\nDifficult\u00e9 de broyage du minerai
\nCoefficient (K'1)<\/td>\n<\/tr>\n
Protodyakonov
\ncoefficient<\/td>\n		Niveau de duret\u00e9<\/td>\nProtodyakonov
\ncoefficient<\/td>\n		Niveau de duret\u00e9<\/td>\n<\/tr>\n
<2<\/td>\ntr\u00e8s doux<\/td>\n1.4-2.0<\/td>\n8-10<\/td>\ndur<\/td>\n0.75-0.85<\/td>\n<\/tr>\n
2-4<\/td>\ndoux<\/td>\n1.25-1.5<\/td>\n>10<\/td>\ntr\u00e8s dur<\/td>\n0.5-0.7<\/td>\n<\/tr>\n
4-8<\/td>\nmoyen<\/td>\n1.0<\/td>\n <\/td>\n <\/td>\n <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Tableau 1-5 Coefficient de correction du broyeur (K'2)<\/strong><\/p>\n\n\n\n\n
Type de broyeur<\/td>\nBroyeur \u00e0 grille<\/td>\nBroyeur \u00e0 billes \u00e0 d\u00e9bordement<\/td>\nMoulin \u00e0 barres<\/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

Tableau 1-6 Capacit\u00e9 de production relative de la taille des aliments pour animaux et de la taille des produits (G3 ou G4)<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Taille d'alimentation
\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
Contenu de -0,074mm (%)<\/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
Taille d'alimentation
\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
Contenu de -0,074mm (%)<\/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

Tableau 1-7 Taille des particules des produits concass\u00e9s et valeur G1 de la teneur en grains de 0,074 mm<\/strong><\/p>\n\n\n\n\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n
Viscosit\u00e9 du minerai concass\u00e9<\/td>\n40-0<\/td>\n20-0<\/td>\n10-0<\/td>\n5-0<\/td>\n3-0<\/td>\n<\/tr>\n
0,074mm grade
\ncontenu G1 (%)<\/td>\n		Minerai r\u00e9fractaire<\/td>\n2<\/td>\n5<\/td>\n8<\/td>\n10<\/td>\n15<\/td>\n<\/tr>\n
Moyen Minerai r\u00e9fractaire<\/td>\n3<\/td>\n6<\/td>\n10<\/td>\n15<\/td>\n23<\/td>\n<\/tr>\n
minerai facile \u00e0 broyer<\/td>\n5<\/td>\n8<\/td>\n15<\/td>\n20<\/td>\n25<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/h2>\n

2. Calcul de la puissance, de la vitesse et de la charge moyenne du broyeur \u00e0 boulets<\/h2>\n

2.1 Calcul de la puissance<\/h3>\n

\"calcul
\nG' - la quantit\u00e9 d'agent de chargement et de mat\u00e9riau, T ;
\nDm - diam\u00e8tre int\u00e9rieur effectif du cylindre du broyeur, en m ;
\nK’5 — grinding medium coefficient, check table 1-9<\/strong>.<\/p>\n

 <\/p>\n

Tableau 1-9 Coefficient du milieu de broyage K' 5<\/strong><\/p>\n\n\n\n\n\n\n
Type de fluide | Taux de remplissage<\/td>\n0.1<\/td>\n0.2<\/td>\n0.3<\/td>\n0.4<\/td>\n0.5<\/td>\n<\/tr>\n
Pierre siliceuse<\/td>\n13.3<\/td>\n12.25<\/td>\n11.0<\/td>\n9.5<\/td>\n7.8<\/td>\n<\/tr>\n
Grande bille d'acier<\/td>\n11.9<\/td>\n11.0<\/td>\n9.9<\/td>\n8.5<\/td>\n7.0<\/td>\n<\/tr>\n
petite bille d'acier<\/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

\"calcul<\/p>\n

n -- vitesse de rotation du broyeur, r\/min ;
\nG\" -- Total du moyen de broyage, T ;
\n\u03b7 -- Rendement m\u00e9canique, lorsque l'entra\u00eenement est central, \u03b7 = 0,92-0,94 ; lorsque l'entra\u00eenement est p\u00e9riph\u00e9rique, \u03b7 = 0,86-0,90.<\/p>\n

 <\/p>\n

2.2 Calcul de la vitesse de rotation du broyeur \u00e0 boulets<\/h3>\n

Vitesse critique<\/strong>
\nLorsque le cylindre du broyeur \u00e0 boulets est mis en rotation, il n'y a pas de glissement relatif entre l'agent de broyage et la paroi du cylindre, et il commence simplement \u00e0 tourner avec le cylindre du broyeur. La vitesse instantan\u00e9e du broyeur est la suivante :<\/p>\n

\"calcul<\/p>\n

N0 -- vitesse de travail du broyeur, r\/min ;
\nK'b - rapport de vitesse, %.
\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

\"calcul<\/p>\n

On en d\u00e9duit donc th\u00e9oriquement que la vitesse de travail raisonnable est de<\/p>\n

\"calcul<\/p>\n

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

Tableau 1-10 Vitesses de travail de diff\u00e9rents broyeurs<\/strong><\/p>\n\n\n\n\n
Type de broyeur<\/td>\nBroyeur \u00e0 billes<\/td>\nMoulin \u00e0 barres<\/td>\nMoulin \u00e0 tubes<\/td>\n<\/tr>\n
Vitesse de travail 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

Capacit\u00e9 de chargement des billes<\/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 capacit\u00e9 de chargement en billes du broyeur peut \u00eatre calcul\u00e9e selon la formule (1-14).<\/p>\n

\"calcul<\/p>\n

Gra - Quantit\u00e9 de fluide de broyage, 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

Taille et proportion du milieu de broyage<\/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

\"calcul<\/p>\n

dmax — The maximum diameter of the steel ball, mm;
\namax - la taille maximale de la granularit\u00e9 d'alimentation, 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

\"calcul<\/p>\n

 <\/p>\n

Apr\u00e8s avoir choisi le diam\u00e8tre maximal et le diam\u00e8tre minimal des billes d'acier en fonction des exigences technologiques, des propri\u00e9t\u00e9s des mat\u00e9riaux, des sp\u00e9cifications du broyeur et de divers param\u00e8tres, et apr\u00e8s avoir fait correspondre la qualit\u00e9, \u00e0 l'aide de courbes, le pourcentage cumulatif de la masse de chaque bille d'acier correspondante charg\u00e9e dans le broyeur peut \u00eatre trouv\u00e9, le pourcentage r\u00e9el de la masse peut \u00eatre calcul\u00e9 et la qualit\u00e9 de chargement des billes d'acier \u00e0 tous les niveaux peut \u00eatre obtenue.
\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

Tableau 1-11 Relation entre le diam\u00e8tre des billes d'acier et la taille du mat\u00e9riau<\/strong><\/p>\n\n\n\n\n
Diam\u00e8tre de la bille d'acier
\ndb\/mm<\/td>\n		120<\/td>\n100<\/td>\n90<\/td>\n80<\/td>\n70<\/td>\n60<\/td>\n50<\/td>\n40<\/td>\n<\/tr>\n
Taille d'alimentation
\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>.
\nEn raison de l'usure des billes d'acier dans le processus de production du broyeur, il est n\u00e9cessaire de maintenir la stabilit\u00e9 du broyeur. Les billes d'acier doivent \u00eatre ajout\u00e9es r\u00e9guli\u00e8rement.
\nLe diam\u00e8tre maximal des billes d'acier suppl\u00e9mentaires est toujours d\u00e9termin\u00e9 par la m\u00e9thode mentionn\u00e9e ci-dessus. En plus de l'ajout de billes d'acier suppl\u00e9mentaires, il convient d'ajouter plusieurs billes d'acier de plus petit diam\u00e8tre en fonction de l'exp\u00e9rience de production.<\/p>\n

 <\/p>\n

Table 1-12: Quality and Surface Area of Steel Balls<\/strong>\"Qualit\u00e9<\/p>\n

 <\/p>\n

Conclusion<\/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.
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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 … Continuer la lecture de S\u00e9lection des param\u00e8tres du broyeur \u00e0 boulets - Puissance, vitesse de rotation, boulets d'acier<\/span><\/a><\/p>","protected":false},"author":1,"featured_media":7527,"parent":0,"menu_order":305,"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\/fr\/nouveau\/calcul-de-la-selection-des-parametres-dun-broyeur-a-boulets\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ball Mill Parameter Selection & Calculation - 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