Filtration Engineering

Centrifugal Filter Cut-Point (d50) Estimator (Stokes-Based) calculator

Centrifugal Filter Cut-Point (d50) Estimator (Stokes-Based) engineering calculator.

Runnable This tool can run, but independent engineering verification has not been established.

Quick Answer

The centrifugal filter cut-point (d50) estimator (stokes-based) calculator computes cut-point particle diameter (d50) from the input values you provide.

Calculator

Cut-Point Particle Diameter (d50) (m)
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Result Interpretation

Centrifugal Filter Cut-Point (d50) Estimator (Stokes-Based) calculator computes Cut-Point Particle Diameter (d50) in m using the defined engineering formula and the input values provided. Cut-Point Particle Diameter (d50) is expressed in m. No universal acceptance threshold is defined by this calculator.

Worked Example

Verified calculation

Given:

  • Dynamic Viscosity of Fluid = 0.001
  • Terminal Settling Velocity in Centrifuge = 0.02
  • Density Difference (Particle − Fluid) = 1500
  • Square of Angular Velocity = 1000000
  • Radial Position (Effective Separation Radius) = 0.1

Expected Result:

  • Cut-Point Particle Diameter (d50) = 1.549193338483E-6

Engineering Interpretation:

Under the given input conditions, the calculated result is: Cut-Point Particle Diameter (d50) = 1.549193338483E-6 m.

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

d50 = pow((18.0 * dynamic viscosity of fluid * terminal settling velocity in centrifuge) / (Particle − Fluid * square of angular velocity * Effective Separation Radius), 0.5)

Cut-Point Particle Diameter (d50).

Variables

SymbolLabelRoleDescription
dynamic_viscosity Dynamic Viscosity of Fluid INPUT Dynamic Viscosity of Fluid
terminal_velocity Terminal Settling Velocity in Centrifuge INPUT Terminal Settling Velocity in Centrifuge
density_difference Density Difference (Particle − Fluid) INPUT Density Difference (Particle − Fluid)
angular_velocity_squared Square of Angular Velocity INPUT Square of Angular Velocity
radius Radial Position (Effective Separation Radius) INPUT Radial Position (Effective Separation Radius)
particle_size_d50 Cut-Point Particle Diameter (d50) OUTPUT Cut-Point Particle Diameter (d50)

Calculation Steps

  1. Enter the dynamic viscosity of fluid in Pa·s.
  2. Enter the terminal settling velocity in centrifuge in m/s.
  3. Enter the density difference (particle − fluid) in kg/m³.
  4. Enter the square of angular velocity in rad²/s².
  5. Enter the radial position (effective separation radius) in m.
  6. Step 1: Compute cut-point particle diameter (d50).
  7. Read the cut-point particle diameter (d50) (m) from the results.

Frequently Asked Questions

What does this calculator calculate?

The Centrifugal Filter Cut-Point (d50) Estimator (Stokes-Based) calculator estimates Cut-Point Particle Diameter (d50) based on the input parameters you provide

Why is dynamic viscosity of fluid important in this calculation?

dynamic viscosity of fluid is used directly in the calculation of cut-point particle diameter (d50). Its effect on the result depends on the complete formula and the values of the other inputs.. When you enter dynamic viscosity of fluid in Pa·s, the calculator uses it in the engineering formula to compute the output

How should I interpret the result cut-point particle diameter (d50)?

The calculator outputs cut-point particle diameter (d50) in m. 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: Dynamic Viscosity of Fluid (Pa·s), Terminal Settling Velocity in Centrifuge (m/s), Density Difference (Particle − Fluid) (kg/m³), Square of Angular Velocity (rad²/s²), Radial Position (Effective Separation Radius) (m). 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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