{"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-da-selecao-dos-parametros-do-moinho-de-bolas","status":"publish","type":"new","link":"https:\/\/www.jxscmachine.com\/pt\/new\/ball-mill-parameter-selection-calculation\/","title":{"rendered":"Sele\u00e7\u00e3o dos par\u00e2metros do moinho de bolas - Pot\u00eancia, Velocidade de rota\u00e7\u00e3o, Esferas de a\u00e7o"},"content":{"rendered":"

Introdu\u00e7\u00e3o<\/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 moinho 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>e 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).
\n\u00c9 dif\u00edcil determinar teoricamente a produtividade do moinho. A capacidade de produ\u00e7\u00e3o do moinho \u00e9 geralmente calculada com base no min\u00e9rio em p\u00f3 rec\u00e9m-gerado com menos de 0,074 mm (-200 mesh).<\/p>\n

\"\"<\/p>\n

 <\/p>\n

V - Volume efetivo do moinho de bolas, m3;
\nG2 - O material com menos de 0,074 mm de produto representa a percentagem do material total, %;
\nG1 - O material inferior a 0,074mm na alimenta\u00e7\u00e3o do min\u00e9rio representa 0,074mm na percentagem do material total, %;
\nq'm - Produtividade unit\u00e1ria calculada de acordo com o grau de nova gera\u00e7\u00e3o (0,074mm), t\/(m3.h).
\nOs valores de q'm s\u00e3o determinados por experi\u00eancias ou s\u00e3o calibrados na produ\u00e7\u00e3o com propriedades f\u00edsicas de min\u00e9rio semelhantes e o mesmo equipamento e condi\u00e7\u00f5es de trabalho. Quando n\u00e3o existem dados de ensaio e valores de calibra\u00e7\u00e3o da produ\u00e7\u00e3o, estes podem ser calculados pela f\u00f3rmula (1-3).<\/p>\n

 <\/p>\n

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

 <\/p>\n

Di1- Di\u00e2metro padr\u00e3o do moinho, 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

Tabela 1-4 Coeficiente de dificuldade de moagem do min\u00e9rio (K'1)<\/strong><\/p>\n\n\n\n\n\n\n\n
Dureza do min\u00e9rio<\/td>\nDificuldade de tritura\u00e7\u00e3o do min\u00e9rio
\nCoeficiente (K'1)<\/td>\n		Dureza do min\u00e9rio<\/td>\nDificuldade de tritura\u00e7\u00e3o do min\u00e9rio
\nCoeficiente (K'1)<\/td>\n<\/tr>\n
Protodyakonov
\ncoeficiente<\/td>\n		N\u00edvel de dureza<\/td>\nProtodyakonov
\ncoeficiente<\/td>\n		N\u00edvel de dureza<\/td>\n<\/tr>\n
<2<\/td>\nmuito 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>\nmuito dif\u00edcil<\/td>\n0.5-0.7<\/td>\n<\/tr>\n
4-8<\/td>\nm\u00e9dio<\/td>\n1.0<\/td>\n <\/td>\n <\/td>\n <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/p>\n

Quadro 1-5 Coeficiente de corre\u00e7\u00e3o da fresagem (K'2)<\/strong><\/p>\n\n\n\n\n
Tipo de moinho<\/td>\nMoinho de bolas de grelha<\/td>\nMoinho de bolas de transbordo<\/td>\nMoinho 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

Quadro 1-6 Capacidade de produ\u00e7\u00e3o relativa da dimens\u00e3o dos alimentos para animais e da dimens\u00e3o do produto (G3 ou G4)<\/strong><\/p>\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
Tamanho da alimenta\u00e7\u00e3o
\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
Conte\u00fado 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
Tamanho da alimenta\u00e7\u00e3o
\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
Conte\u00fado 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

Quadro 1-7 Tamanho das part\u00edculas dos produtos triturados e valor G1 do teor de 0,074 mm<\/strong><\/p>\n\n\n\n\n\n\n\n\n<\/colgroup>\n\n\n\n\n\n
Viscosidade do min\u00e9rio triturado<\/td>\n40-0<\/td>\n20-0<\/td>\n10-0<\/td>\n5-0<\/td>\n3-0<\/td>\n<\/tr>\n
Grau de 0,074 mm
\nconte\u00fado G1 (%)<\/td>\n		Min\u00e9rio refrat\u00e1rio<\/td>\n2<\/td>\n5<\/td>\n8<\/td>\n10<\/td>\n15<\/td>\n<\/tr>\n
M\u00e9dio Min\u00e9rio refrat\u00e1rio<\/td>\n3<\/td>\n6<\/td>\n10<\/td>\n15<\/td>\n23<\/td>\n<\/tr>\n
tritura\u00e7\u00e3o f\u00e1cil de min\u00e9rio<\/td>\n5<\/td>\n8<\/td>\n15<\/td>\n20<\/td>\n25<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

 <\/h2>\n

2. C\u00e1lculo da pot\u00eancia, velocidade e carga do meio do moinho de bolas<\/h2>\n

2.1 C\u00e1lculo da pot\u00eancia<\/h3>\n

\"c\u00e1lculo
\nG' - a quantidade de meio de carga e de material, T;
\nDm - di\u00e2metro interior efetivo do tambor do moinho, m;
\nK’5 — grinding medium coefficient, check table 1-9<\/strong>.<\/p>\n

 <\/p>\n

Tabela 1-9 Coeficiente do meio de moagem K' 5<\/strong><\/p>\n\n\n\n\n\n\n
Tipo de meio | Taxa de enchimento<\/td>\n0.1<\/td>\n0.2<\/td>\n0.3<\/td>\n0.4<\/td>\n0.5<\/td>\n<\/tr>\n
Pedra siliciosa<\/td>\n13.3<\/td>\n12.25<\/td>\n11.0<\/td>\n9.5<\/td>\n7.8<\/td>\n<\/tr>\n
Esfera de a\u00e7o grande<\/td>\n11.9<\/td>\n11.0<\/td>\n9.9<\/td>\n8.5<\/td>\n7.0<\/td>\n<\/tr>\n
pequena esfera de a\u00e7o<\/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 -- velocidade do moinho, r\/min;
\nG\" -- Total do meio de moagem, T;
\n\u03b7 -- Efici\u00eancia mec\u00e2nica, quando o acionamento \u00e9 central, \u03b7 = 0,92-0,94; quando o acionamento \u00e9 lateral, \u03b7 = 0,86-0,90.<\/p>\n

 <\/p>\n

2.2 C\u00e1lculo da velocidade de rota\u00e7\u00e3o do moinho de bolas<\/h3>\n

Velocidade cr\u00edtica<\/strong>
\nQuando o cilindro do moinho de bolas \u00e9 rodado, n\u00e3o h\u00e1 deslizamento relativo entre o meio de moagem e a parede do cilindro, e apenas come\u00e7a a funcionar num estado de rota\u00e7\u00e3o com o cilindro do moinho. Esta velocidade instant\u00e2nea do moinho \u00e9 a seguinte:<\/p>\n

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

N0 -- velocidade de trabalho do moinho, r\/min;
\nK'b - rela\u00e7\u00e3o de velocidade, %.
\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 conseguinte, deduz-se teoricamente que a velocidade de trabalho razo\u00e1vel \u00e9<\/p>\n

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

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

Quadro 1-10 Velocidades de trabalho de v\u00e1rios moinhos<\/strong><\/p>\n\n\n\n\n
Tipo de moinho<\/td>\nMoinho de bolas<\/td>\nMoinho de barras<\/td>\nMoinho de tubos<\/td>\n<\/tr>\n
Velocidade de trabalho 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

Capacidade de carga das esferas<\/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. 
\nA capacidade de carga de bolas do moinho pode ser calculada de acordo com a f\u00f3rmula (1-14).<\/p>\n

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

Gra - Quantidade de meio de moagem, 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

Tamanho e propor\u00e7\u00e3o do meio de moagem<\/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 - o tamanho m\u00e1ximo do granulado de alimenta\u00e7\u00e3o, 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

Depois de escolher o di\u00e2metro m\u00e1ximo e o di\u00e2metro m\u00ednimo das esferas de a\u00e7o de acordo com os requisitos tecnol\u00f3gicos, as propriedades do material, as especifica\u00e7\u00f5es do moinho e v\u00e1rios par\u00e2metros e, em seguida, o grau de correspond\u00eancia, usando curvas, a percentagem acumulada da massa de cada esfera de a\u00e7o correspondente carregada no moinho pode ser encontrada, a percentagem real da massa pode ser calculada e a qualidade de carregamento das esferas de a\u00e7o em todos os n\u00edveis pode ser obtida.
\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

Tabela 1-11 Rela\u00e7\u00e3o entre o di\u00e2metro da esfera de a\u00e7o e o tamanho do material<\/strong><\/p>\n\n\n\n\n
Di\u00e2metro da esfera de a\u00e7o
\ndb\/mm<\/td>\n		120<\/td>\n100<\/td>\n90<\/td>\n80<\/td>\n70<\/td>\n60<\/td>\n50<\/td>\n40<\/td>\n<\/tr>\n
Tamanho da alimenta\u00e7\u00e3o
\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>.
\nDevido ao desgaste das esferas de a\u00e7o no processo de produ\u00e7\u00e3o do moinho, a fim de manter o moinho est\u00e1vel. As esferas de a\u00e7o precisam de ser adicionadas regularmente.
\nO di\u00e2metro m\u00e1ximo das esferas de a\u00e7o adicionais continua a ser determinado pelo m\u00e9todo acima referido. Para al\u00e9m da adi\u00e7\u00e3o de esferas de a\u00e7o adicionais, devem ser adicionadas v\u00e1rias esferas de a\u00e7o de menor di\u00e2metro, de acordo com a experi\u00eancia de produ\u00e7\u00e3o.<\/p>\n

 <\/p>\n

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

 <\/p>\n

Conclus\u00e3o<\/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.
\nProdutos quentes<\/a>: triturador de mand\u00edbulas, triturador de impacto, triturador de cone, moinho de bolas, mesa de agitador, separador centr\u00edfugo, jigue, separador magn\u00e9tico, flota\u00e7\u00e3o, trommel de ouro, esfregador trommel, planta de lavagem de ouro, e assim por diante.<\/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 … Continuar a ler Sele\u00e7\u00e3o dos par\u00e2metros do moinho de bolas - Pot\u00eancia, Velocidade de rota\u00e7\u00e3o, Esferas de a\u00e7o<\/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\/pt\/novo\/calculo-da-selecao-dos-parametros-do-moinho-de-bolas\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ball Mill Parameter Selection & Calculation - 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