Slurry Pump Selection and Calculation Formulas
Various industry standards provide formulas for the selection of slurry pumps, with standardized symbols used across different contexts.
1) General Slurry Method
Pipeline Characteristics:
Water Head (Hf) = ΔH + (1 + ξ)(V²)/(2g)
Slurry Head (Hmo) = ΔH + 0.72Ko(Vl²) + 0.58Ko(V²)
Pump Characteristics:
Slurry Head (Hm) = ΔH + 0.72Ko(Vl²) + 0.58Ko(V²)
Water Head (Hs) = Hs * HR
2) Coal Preparation Plant Method 1
Pipeline Characteristics:
Water Head (Hf) = ΔH + iL + 2
Slurry Head (Hmo) = ΔH + imL + 2
Pump Characteristics:
Slurry Head (Hm) = ΔH + imL + 2
Water Head (Hs) = H / Km
3) Ash Calculation Method
Pipeline Characteristics:
Water Head (Hf) = ΔH + 1.05iL
Slurry Head (Hmo) = ΔHγm + 1.05imL
Pump Characteristics:
Slurry Head (Hm) = 1.1Hmo
Water Head (Hs) = Hs * γm * Km
4) Tailings Calculation Method
Pipeline Characteristics:
Water Head (Hf) = ΔH + iL + Σhi
Slurry Head (Hmo) = ΔHγm + imL + Σhi
Pump Characteristics:
Slurry Head (Hm) = ΔHγm + imL + Σhi
Water Head (Hs) = Hs * γm * Km * Kh
5) Filling Mining Method
Pipeline Characteristics:
Water Head (Hf) = ΔH + 1.05iL + Σhi
Slurry Head (Hmo) = ΔHγm + imL + Σhi
Pump Characteristics:
Slurry Head (Hm) = ΔHγm + imL + Σhi
Water Head (Hs) = Hs * Km * Kh
6) Metallurgical Mining Method
Pipeline Characteristics:
Water Head (Hf) = ΔH + iL + Σhi
Slurry Head (Hmo) = ΔHγm + imL + Σhi
Pump Characteristics:
Slurry Head (Hm) = ΔHγm + imL + Σhi
Water Head (Hs) = Hs * γm * Kh
Symbol Definitions:
Hf: Water head in the pipeline; Hmo: Slurry head in the pipeline; Hm: Pump head for slurry; Hs: Water head at the pump inlet.
ΔH: Total head loss in the system.
L: Length of the pipeline.
i, im: Friction coefficients for water and slurry, respectively.
Kh: A correction factor defined as Kh = 1 - 0.25Cw.
γm: Specific gravity of the slurry.
Ko: Ratio of the water head to the square of the flow velocity, Ko = H / V².
Vl: Critical settling velocity of solids in the slurry.
Km: Ratio of the slurry head to the square of the flow velocity, Km = Hm / Vm².
These formulas are essential for accurately selecting and sizing slurry pumps based on specific operating conditions and material properties. Understanding the meaning of each symbol ensures proper application of the formulas in real-world scenarios.
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