how to calculate tons per hour ball mill machine ?

To calculate the tons per hour (TPH) capacity of a ball mill machine, you need to determine the volume of the ball mill, the density of the material being milled, and the operating hours. Here is a simplified approach to get an estimated capacity:

1. Ball Mill Volume (V): Measure the internal diameter (D) and length (L) of the drum in meters.

   • Volume, ( V ) (m³) = π (Diameter/2)² Length

2. Material Density (ρ): Determine the density of the material being processed in tons per cubic meter (t/m³).

3. Mill Filling Level (φ): Estimate the percentage of the mill volume that is occupied by the grinding media (typically balls) and material. This is often around 30-40%.

   • Volume filled, ( V_f ) = Volume, ( V ) * Filling Level (φ)

4. Evaluate the Fraction of Mill Volume Occupied (Φ): Φ is another term reflecting the mill loading (%).

   • ( \Phi ) = Filling Level (φ) * Density (ρ)

5. Operating Hours (H): Determine the number of operating hours in one hour, which is typically just 1 if calculating per hour.

Using these parameters:

• Material Throughput (Q): ( Q ) = ( V ) ( \Phi ) Hours (H)

Given a practical simplified calculation:

( \text{TPH} = \frac{{V \times \rho \times \phi}}{{H}} )

Example Calculation:

1. Ball Mill Dimensions:

   • Diameter (D) = 3 meters
   • Length (L) = 5 meters

   Volume, ( V ) = π (3/2)² 5 ≈ 35.34 m³

2. Material Density:

   • Say, ρ = 2.5 t/m³

3. Filling Level:

   • φ = 35/100 = 0.35

4. Operating Hours:

   • H = 1 (since it's per hour)

Calculation:

• Volume filled, (V_f = 35.34 \times 0.35 = 12.369 \, m³)
• TPH = (V_f \times \rho / H = 12.369 \times 2.5 / 1 = 30.9225 \, TPH )

Therefore, the ball mill can process approximately 30.92 tons per hour under these conditions.

Notes:

• This is a simplified approach; real-life factors like milling efficiency, material type, and design specifications might alter the capacity.
• Consult equipment manufacturers or detailed literature for more precise calculations and operational insights.