Tailings Engineering

Tailings Pipeline Critical Velocity Diagnostic Tool Calculator

Tailings Pipeline Critical Velocity Diagnostic Tool engineering calculator.

Quick Answer

Calculate Tailings Pipeline Critical Velocity Diagnostic Tool

Calculator

Critical velocity (m⁄s)
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Result Interpretation

Tailings Pipeline Critical Velocity Diagnostic Tool Calculator computes Critical velocity in m/s using the defined engineering formula and the input values provided.

Worked Example

Verified calculation

Given:

  • Gravitational acceleration = 9.81
  • Drag coefficient = 0.44
  • Volumetric concentration of solids = 0.25
  • Particle median diameter = 0.00015
  • Reference volumetric concentration (typically 0.5) = 0.5
  • Specific gravity of solid particles = 2.65
  • Specific gravity of slurry = 1.15

Expected Result:

  • Critical velocity = 0.062894386943503

Engineering Interpretation:

Under the given input conditions, the calculated result is: Critical velocity = 0.062894386943503 m/s.

The actual numerical result is computed by the Runtime engine using the persisted tool definition. The values shown here come from automatically validated test cases.

Formula / Method

critical velocity = 1.25 * sqrt( (2 * gravitational acceleration * particle median diameter * (specific gravity of solid particles - specific gravity of slurry)) / (3 * drag coefficient * specific gravity of slurry) ) * pow( (volumetric concentration of solids / typically 0.5), 0.1 )

Formula family: formula_tailings_tailings_pipeline_critical_velocity_diagnostic_tool

Variables

SymbolLabelRoleDescription
g Gravitational acceleration INPUT Gravitational acceleration
d50 Particle median diameter INPUT Particle median diameter
sg_solid Specific gravity of solid particles INPUT Specific gravity of solid particles
sg_slurry Specific gravity of slurry INPUT Specific gravity of slurry
C_d Drag coefficient INPUT Drag coefficient
C_v Volumetric concentration of solids INPUT Volumetric concentration of solids
C_v50 Reference volumetric concentration (typically 0.5) INPUT Reference volumetric concentration (typically 0.5)
result Critical velocity OUTPUT Critical velocity

Calculation Steps

  1. Enter the gravitational acceleration in m/s^2.
  2. Enter the particle median diameter in m.
  3. Enter the specific gravity of solid particles in dimensionless.
  4. Enter the specific gravity of slurry in dimensionless.
  5. Enter the drag coefficient in dimensionless.
  6. Enter the volumetric concentration of solids in dimensionless.
  7. Enter the reference volumetric concentration (typically 0.5) in dimensionless.
  8. Step 1: Compute critical velocity.
  9. Read the critical velocity (m/s) from the results.

Engineering Summary

Calculate Tailings Pipeline Critical Velocity Diagnostic Tool

Frequently Asked Questions

What does this calculator calculate?

The Tailings Critical Velocity Diagnostic Tool Calculator estimates Critical velocity based on the input parameters you provide

Why is gravitational acceleration important in this calculation?

gravitational acceleration is directly proportional to critical velocity. When you enter gravitational acceleration in m/s^2, the calculator uses it in the engineering formula to compute the output

How should I interpret the result critical velocity?

The calculator outputs critical velocity in m/s. To convert to km/h, multiply the result by 3.6. The result is computed directly from the input values using the defined engineering formula

What units should I use for the inputs?

Enter each value in the units shown next to the input field: Gravitational acceleration (m/s^2), Particle median diameter (m), Specific gravity of solid particles (dimensionless), Specific gravity of slurry (dimensionless), Drag coefficient (dimensionless), Volumetric concentration of solids (dimensionless), Reference volumetric concentration (typically 0.5) (dimensionless). Make sure all inputs use the specified units for consistent results

What assumptions does this calculator use?

This calculator uses automatically validated engineering formulas. Results are approximate and should be validated against site-specific conditions, applicable codes, and professional engineering judgment

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