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Centrifugal Disc Stack Clarifier Equivalent Settling Area (Sigma Factor Σ) Calculator

Easily calculate and compute centrifugal disc stack clarifier equivalent settling area (sigma factor σ) calculator with accurate equations, live formulas, and expert guidance.

Disc count in stack (typically 80 to 200 discs).

Operating bowl speed.

Outer rim radius.

Inner hole radius.

Cone angle from vertical axis (typically 40° to 50°, standard 45°).

Calculated Result
64,241 m²

Sigma Area (Σ)

Sigma Area (Σ)

64,241 m²

Sigma Equivalent Settling Area M2

64241

Centrifugal G Force At Rim

8504

Scaling Utility Note

Ambler Sigma theory allows direct linear scale-up between pilot and commercial industrial disc stack centrifuges: Q1/Sigma1 = Q2/Sigma2

64,241 — m²

Calculation Breakdown

  1. Applied FormulaCalculates the equivalent clarifying settling area (Sigma Factor Σ in m²) of conical disc-stack centrifuges used for industrial cell harvesting and broth clarification.\Sigma = \frac{2\pi N \omega^2}{3 g \tan\theta}\left(r_2^3 - r_1^3\right)

Centrifuge Sigma Factor (Σ) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.016.1k32.1k48.2k64.2kSigma Area (Σ)

What Is the Centrifugal Disc Stack Clarifier Equivalent Settling Area (Sigma Factor Σ) Calculator?

This tool computes centrifugal disc stack clarifier equivalent settling area (sigma factor σ) calculator with high precision arithmetic.

How Does the Centrifugal Disc Stack Clarifier Equivalent Settling Area (Sigma Factor Σ) Calculator Work?

Calculates the equivalent clarifying settling area (Sigma Factor Σ in m²) of conical disc-stack centrifuges used for industrial cell harvesting and broth clarification.

Centrifugal Disc Stack Clarifier Equivalent Settling Area (Sigma Factor Σ) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

Σ=2πNω23gtan⁡θ(r23−r13)\Sigma = \frac{2\pi N \omega^2}{3 g \tan\theta}\left(r_2^3 - r_1^3\right)

Calculates the equivalent clarifying settling area (Sigma Factor Σ in m²) of conical disc-stack centrifuges used for industrial cell harvesting and broth clarification.

How to Use the Centrifugal Disc Stack Clarifier Equivalent Settling Area (Sigma Factor Σ) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Centrifugal Disc Stack Clarifier Equivalent Settling Area (Sigma Factor Σ) Calculator Example

Input Values:

numberOfDiscsN:120
bowlRotationSpeedRpm:6500
outerDiscRadiusCm:18
innerDiscRadiusCm:7.5
discConicalHalfAngleDeg:45
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required m².

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

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