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Bioreactor Impeller Power Number (Rushton Turbine) Calculator

Easily calculate and compute bioreactor impeller power number (rushton turbine) calculator with accurate equations, live formulas, and expert guidance.

Tip-to-tip diameter of Rushton turbine (typically D = T/3).

Impeller shaft speed.

Density of fermentation broth.

Impeller shape constant (Rushton ~5.0 - 5.5, marine hydrofoil ~0.3 - 0.8).

Aeration sparging power derating factor.

Calculated Result
9.41 kW

Gassed Impeller Dissipated Power P_g

Gassed Impeller Dissipated Power P_g

9.41 kW

Gassed Power Kw

9.4077524165625

Ungassed Power P0 Kw

17.10500439375

Impeller Tip Speed M S

6.126105674500097

Impeller Diameter M

0.65

9.41 — kW

Calculation Breakdown

  1. Applied FormulaSizes agitation motors, ungassed turbulent power draw, and gas-sparged power derating (Pg/P0) for standard Rushton disc turbines in fermenters.P = N_p \rho N^3 D^5

Bioreactor Agitation Power Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.44.77.19.4Gassed Impeller Dissipated Power P_g

What Is the Bioreactor Impeller Power Number (Rushton Turbine) Calculator?

This tool computes bioreactor impeller power number (rushton turbine) calculator with high precision arithmetic.

How Does the Bioreactor Impeller Power Number (Rushton Turbine) Calculator Work?

Sizes agitation motors, ungassed turbulent power draw, and gas-sparged power derating (Pg/P0) for standard Rushton disc turbines in fermenters.

Bioreactor Impeller Power Number (Rushton Turbine) Calculator Formula & Variables

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

P=NpρN3D5P = N_p \rho N^3 D^5

Sizes agitation motors, ungassed turbulent power draw, and gas-sparged power derating (Pg/P0) for standard Rushton disc turbines in fermenters.

How to Use the Bioreactor Impeller Power Number (Rushton Turbine) Calculator

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

Step-by-Step Example Calculation

Bioreactor Impeller Power Number (Rushton Turbine) Calculator Example

Input Values:

impellerDiameterM:0.65
rotationalSpeedRpm:180
brothDensityKgM3:1050
powerNumberNp:5.2
gassedPowerRatio:0.55
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required kW.

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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