A coal crushing calculator helps estimate the required power, throughput, or size reduction based on input parameters like feed size, product size, hardness, and capacity. Below is a simplified method to calculate coal crushing requirements using Bond’s Law and basic crushing principles.
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Coal Crushing Calculator (Simplified)
# 1. Input Parameters:
– Feed Size (F₈₀): 80% passing size of feed (mm)
– Product Size (P₈₀): 80% passing size of product (mm)
– Bond Work Index (Wi): For coal, typically 7–13 kWh/ton (soft coal ≈ 11, hard anthracite ≈ 13).
– Throughput (Q): Desired capacity (tons/hour)
# 2. Calculate Crushing Power (Bond’s Law):
\[
\text{Power} = W_i \times Q \times \left( \frac{10}{\sqrt{P_{80}}} – \frac{10}{\sqrt{F_{80}}} \right) \quad (\text{kW})
\]
– \(W_i\) = Bond Work Index (kWh/ton)
– \(Q\) = Throughput (tons/hour)
# 3. Example Calculation:
– Feed Size (F₈₀): 50 mm
– Product Size (P₈₀): 5 mm
– Wi: 11 kWh/ton
– Throughput: 50 tons/hour
\[
\text{Power} = 11 \times 50 \times \left( \frac{10}{\sqrt{5}} – \frac{10}{\sqrt{50}} \right)
\]
\[
= 550 \times (4.472 – 1.414) = 550 \times 3.058 ≈ 1682 \, \text{kW}
\]
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# 4. Adjust for Efficiency:
Divide by motor/crusher efficiency (e.g., 85% → Power = 1682 / 0.85 ≈ 1979 kW).
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Alternative: Empirical Rule for Jaw/Cone Crushers
For quick estimation:
\[
\text{Power (kW)} ≈ K \times Q
\]
– \(K\) = Empirical factor:
– Jaw Crusher: \(K = 0.1–0.3\)