Skip to main content

Disc-Stack Centrifuge Equivalent Clarification Area (Sigma Theory) Calculator

Easily calculate and compute disc-stack centrifuge equivalent clarification area (sigma theory) calculator with accurate equations, live formulas, and expert guidance.

Total disc stack count.

Outer rim radius.

Inner hole radius.

Half-angle of conical disc (typically 40-50°).

Operating bowl speed.

Calculated Result
63,171 m²

Sigma Area Σ

Sigma Area Σ

63,171 m²

Equivalent Sedimentation Area Sigma M2

63171

Relative Centrifugal Force Rcf G

8504

Angular Velocity Omega Rad Per Sec

680.7

Amphlett Scale Up Principle

Q1 / Sigma1 = Q2 / Sigma2 (Constant critical settling velocity scale-up across centrifuge frames)

63,171 — m²

Calculation Breakdown

  1. Applied FormulaCalculates the equivalent clarification sedimentation area (Sigma, Σ) of disc-stack centrifuges using Amblers Sigma Theory for bioprocess broth clarification scale-up.\Sigma = \frac{2\pi}{3g} N \omega^2 \cot\theta (r_2^3 - r_1^3)

Disc Centrifuge Sigma Theory Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.015.8k31.6k47.4k63.2kSigma Area Σ

What Is the Disc-Stack Centrifuge Equivalent Clarification Area (Sigma Theory) Calculator?

This tool computes disc-stack centrifuge equivalent clarification area (sigma theory) calculator with high precision arithmetic.

How Does the Disc-Stack Centrifuge Equivalent Clarification Area (Sigma Theory) Calculator Work?

Calculates the equivalent clarification sedimentation area (Sigma, Σ) of disc-stack centrifuges using Amblers Sigma Theory for bioprocess broth clarification scale-up.

Disc-Stack Centrifuge Equivalent Clarification Area (Sigma Theory) Calculator Formula & Variables

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

Σ=2π3gNω2cot⁡θ(r23−r13)\Sigma = \frac{2\pi}{3g} N \omega^2 \cot\theta (r_2^3 - r_1^3)

Calculates the equivalent clarification sedimentation area (Sigma, Σ) of disc-stack centrifuges using Amblers Sigma Theory for bioprocess broth clarification scale-up.

How to Use the Disc-Stack Centrifuge Equivalent Clarification Area (Sigma Theory) Calculator

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

Step-by-Step Example Calculation

Disc-Stack Centrifuge Equivalent Clarification Area (Sigma Theory) Calculator Example

Input Values:

numberOfDiscsN:120.0
outerDiscRadiusR2Meters:0.18
innerDiscRadiusR1Meters:0.08
discConicalHalfAngleThetaDeg:45.0
centrifugeSpeedRpm:6500.0
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.

\n

Explore more tools and calculators in Biology Calculators