The frequency of collisions in a m diameter mill mostly lie within one joule. The friction between the ball charge and the mill shell can increase the power draft. The center of the ball mass shifts in distance as much as 4% of the mill diameter during a complete rotation.
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Although it was developed nearly 50 years ago, Bond's method is still useful for calculating necessary mill sizes and power consumption for ball and rod mills. This paper discusses the basic development of the Bond method, the determination of the efficiency correction factors based on mill dimensions and feed characteristics, and the application of the results to designing grinding circuits.
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The choice of the top (or recharge) ball size can be made using empirical equations developed by Bond (1958) or Azzaroni (1984) or by using special batchgrinding tests interpreted in the content of population balance models (Lo and Herbst 1986). The effect of changes in ball size on specific selection functions has been found to be different ...
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Ball top size (bond formula): calculation of the top size grinding media (balls or cylpebs):Modification of the Ball Charge: This calculator analyses the granulometry of the material inside the mill and proposes a modification of the ball charge in order to improve the mill efficiency:
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When the filling rate of grinding medium is less than 35% in dry grinding operation, the power can be calculated by formula (17). n — mill speed, r/min; G" — Total grinding medium, T; η — Mechanical efficiency, when the center drive, η = ; when the edge drive, η = Rotation Speed Calculation of Ball Mill
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The maximum power draw in ball mill is when ball bed is 3540 % by volume in whole empty mill volume. Considering that ball bed has a porosity of 40 %, the actual ball volume is considered to be ...
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Several modifications or solutions to Bond's mill ball charge specifications have been proposed (Table 1).Mosher and Tague (2001) recognized the difficulty in making up a mill charge corresponding to Bond's specifications and proposed the use of worn balls from batch, pilot or fullscale ball mills that maintain Bond's specifications. Since the vast majority of laboratories do not have access ...
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For overflow ball mills, the charge should not exceed 45% of the mill volume . For grate discharge mills, the charge should occupy about 50% of the mill volume . ... Mill operational speed = ; Calculate the optimum power consumption to operate the mill. Solution: Pâ†"M / Mâ†"B = Φâ†"C (1 Jâ†"B) ...
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To accelerate the math or calculation you can use the shortened formula: D m <= Km * d^ Km =6 (log dk) is taken from Figure 5 according to the fineness of the finished product dk. These formulas are applicable to the case of feeding a mill with only singlesized balls and not a mixture without consideration for ball wear.
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Mishra and Rajamani were the first ones to track the motion of the ball charge in ball mills using . DEM simulation (Mishra and Rajamani, 1992). The Discrete Element Method is a powerful numerical .
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The ball charge is determined by the operator targeting the balance between grind and throughput, the higher the ball charge the more aggressive the milling becomes. With softer oxide ores lower ball charges are usual however the harder sulphides does need more media energies to meet the P80 target and an acceptable throughput.
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Maximum ball size (MBS) Please Enter / Stepto Input Values. Mill Feed Material Size F, mm. Specific weight of Feed SG, g/cm 3.
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50% x 26% = 13% free space Add to this another 10%15% above the ball charge for total of 23% to 25% product loading. So as a rule of thumb we use 25% solid loading. Empirical Check: Once the mill has been loaded and run for a few minutes, open the cover and look down into the mill.
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The mill was rotated at 63% of the critical speed. The position of the balls at the end of five revolutions is shown in Figure 2. It is seen that, using a low coefficient of friction at the walls, balls tend to flow down the surface of the charge, and a "toe" begins to form. As the friction at the wall increases, cataracting motion is observed.
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As a rule of thumb, the grinding balls should be approximately 3 x larger than the largest sample particle. In addition to the instrument settings and the ball size, the filling level of the jar is also of crucial importance for a successful grinding process in ball mills.
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Sag mills in the gold and copper operations would vary from 6% 15% and are normally grate discharge types in most cases the densities of the slurry in the mill is over 65% and that goes for ball mills also. Off course you have a upper limit or the balls will "float" out. Higher densities allow better grind and increase residence time in the mill.
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We can calculate the steel charge volume of a ball or rod mill and express it as the % of the volume within the liners that is filled with grinding media. While the mill is stopped, the charge volume can be gotten by measuring the diameter inside the liners and the distance from the top of the charge to the top of the mill.
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The original ball load in the mill was 6614 lb. (3000 kg.) and the load at the end of the 694 hr. was 6338 lb. ( kg.). During this time, 590 lb. ( kg.) of balls less than 3 in. ( mm.) in diameter were discarded from the mill. The screen analysis of the ball charge at the end of the operation is shown in Table 20.
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Examples (ten) of equilibrium ball charges for the torque mill (top sizes). Table 1 89 mm ( in) 64 mm ( in) 38 mm ( in) 50/50 wt% 76/25 mm 50/50 wt% 51/25 mm ... mill speed are used to calculate the energy input. The specific energy input (E, in kWh/t) is the energy input divided by the mill solids load. The
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The grindingproduct size, P, in a Bond ball mill, ... These functions for G and P enable us to calculate the value of Wi for any other size of grinding product if we know the work index Wi and aperture size of the screen Pk. INTRODUCTION The energy consumption for grinding, according to Bond (1961), is deter mined by the formula: / 10 10 (I ...
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Slurry Flow Rate Through a Mill. The factors upon which the rate of flow of the pulp through a mill depends appear not to have received extensive investigation. In an article by Anselm translated by Pearson a method for the calculation of the time of passage of cement through a ball mill was given. The basis of the method is that the volume ...
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A numerical tool known as the discrete element method (DEM) is used to study the motion of the ball charge in ball mills. In particular, the motion of individual balls in the ball charge is simulated. An interesting aspect of this simulation is that it yields the frequency distribution of ball collisions as a function of collision energy.
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Cleaning and Storing of Ball Mill Charge after the Bond Work Index Procedure is done: Add about 500 g of silica sand into the mill containing the ball charge. Seal the mill. Rotate for 20 revolutions to clean. Empty the mill charge and sand into the ball try once grinding is complete. Clean out the mill using a brush. Put the lid on the mill.
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Figures 3a 3b give the power for an autogenous mill. Figures 4a and 4b are for the same size mill with a ball charge of 6% of mill volume (290 lbs. per cubic foot). In the above example the power was calculated for a 30% volume. However, with the same sheets the power can be determined for any volumetric loading from 15% to 35%.
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What are the dimensions of the ball mill you are looking at? 40% ball charge is quite high (unless you are looking at a small mill). A difference (duty vs. maximum) of 5% to 10% is fairly typical and you would likely struggle to perceive an energy efficiency difference between the two operating points. Beyond this, the situation may change.
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The ball charge is a function of the bulk fraction of the SAG mill volume (Jb) occupied by balls; the ore retained in the mill is the result of the volumetric filling which depends on the ore size distribution (specially the % +6″ and the % −6″ +1″), on the rotational speed (N/Nc) and on the solid concentration by weight fraction inside ...
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IV. BALL MILLS Ball mills are one of the more common mills and use a closed cylindrical container that is rotated horizontally on its axis so that the media cascades. A typical ball mill has an L/D ratio of :1. Ball mills are filled with spheres or other shapes made of steel or ceramics; or with pebbles made of flint (or of an ore being ground).
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Evolution of the ball grinding charge distributions proposed by Bond. Ball Charge Distribution 1961 Ball Charge Distribution 1999 Ball Size Balls Ball Size Balls inch cm Number Weight (g) inch cm Number Weight (g) 43 8803 25 5690 67 7206 39 5137 10 672 60 4046
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The formula for calculating critical mill of speed: N c = / √ (D d) Where: N c = Critical Speed of Mill. D = Mill Diameter. d = Diameter of Balls. Let's solve an example; Find the critical speed of mill when the mill diameter is 12 and the diameter of balls is 6. This implies that;
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To participate in the 911Metallurgist Forums, be sure to JOIN LOGIN; Use Add New Topic to ask a New Question/Discussion about Grinding.; OR Select a Topic that Interests you.; Use Add Reply = to Reply/Participate in a Topic/Discussion (most frequent). Using Add Reply allows you to Attach Images or PDF files and provide a more complete input.; Use Add Comment = to comment on someone else's ...
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With high aspect ratio SAG mills total charge to ball charge ratio should be greater than 2 (up to ) for a coarse mill feed (say F80 > 110 mm). If the mill feed size is fine, say 50 mm or 30 mm, then you are looking at a total charge to ball charge ratio of about
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Ball size depends on initial size of charge and ranges from 10mm150mm dia. For particular material and initial size the ball size must be optimized. Please refer the link below and see if it ...
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A material supplier from Belgium would like to produce limestone powder for his custome...
India is rich in various mineral resources and it is an important mineral processing market
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