ToolFusion

Compute power number (Po) from measured torque and rotational parameters

To characterize agitator hydrodynamic loading using dimensionless analysis, enabling comparison across scales and conditions.

Engineering Verified

Quick Answer

The compute power number (po) from measured torque and rotational parameters computes power_number from the input values you provide.

Calculator

power_number (dimensionless)
—

ToolFusion Engineering Network

ToolFusion Engineering Network

Access thousands of engineering calculators, standards, and design tools. Join the ToolFusion network for comprehensive engineering resources.

Explore ToolFusion

Result Interpretation

Compute power number (Po) from measured torque and rotational parameters computes power_number in dimensionless using the defined engineering formula and the input values provided. power_number is expressed in dimensionless. No universal acceptance threshold is defined by this calculator.

Worked Example

typical_agitator

Given:

  • rotation_speed = 100
  • agitator_diameter = 0.5
  • slurry_bulk_density = 1000
  • loaded_torque_at_speed = 10

Expected Result:

  • power_number = 0.1152

Engineering Interpretation:

Under the given input conditions, the calculated result is: power_number = 0.1152 dimensionless.

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

Formula / Method

power_number = loaded_torque_at_speed / (slurry_bulk_density * pow(rotation_speed / 60, 2) * pow(agitator_diameter, 5))

power_number.

Variables

SymbolLabelRoleDescription
loaded_torque_at_speed loaded_torque_at_speed INPUT loaded_torque_at_speed
rotation_speed rotation_speed INPUT rotation_speed
agitator_diameter agitator_diameter INPUT agitator_diameter
slurry_bulk_density slurry_bulk_density INPUT slurry_bulk_density
power_number power_number OUTPUT power_number

Calculation Steps

  1. Enter the loaded_torque_at_speed in N·m.
  2. Enter the rotation_speed in rpm.
  3. Enter the agitator_diameter in m.
  4. Enter the slurry_bulk_density in kg/m³.
  5. Step 1: Compute power_number.
  6. Read the power_number (dimensionless) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Compute power number (Po) from measured torque and rotational parameters estimates power_number based on the input parameters you provide

Why is loaded_torque_at_speed important in this calculation?

loaded_torque_at_speed is directly proportional to power_number. When you enter loaded_torque_at_speed in N·m, the calculator uses it in the engineering formula to compute the output

How should I interpret the result power_number?

The calculator outputs power_number in dimensionless. 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: loaded_torque_at_speed (N·m), rotation_speed (rpm), agitator_diameter (m), slurry_bulk_density (kg/m³). 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

Browse More Tools

Explore the full index of engineering calculators on this vertical site.