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Bioreactor Impeller Power Draw & Power Number (N_p) Rushton Turbine Calculator

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

Radial or axial impeller diameter.

Shaft rotational speed.

Broth liquid density.

5.0-5.5 for Rushton 6-flat blade turbine, 1.5 for marine propeller, 0.8 for hydrofoil.

Number of turbine stages.

Aeration sparging cavity factor (typically 0.6 - 0.75).

Calculated Result
16.2 kW

Gassed Power P_g

Gassed Power P_g

16.2 kW

Total Gassed Agitator Power Kw

16.2

Total Ungassed Power Kw

24.9

Impeller Tip Speed Ms

7.07

Shear Sensitivity Tip Speed Status

HIGH SHEAR (Microbial bacteria/yeast okay; mammalian CHO cell rupture hazard)

16.2 — kW

Calculation Breakdown

  1. Applied FormulaSizes agitator electric drive motors and calculates ungassed and gassed power draw (P_g) and impeller tip shear speed for Rushton and hydrofoil bioreactor impellers.P = N_p \rho N^3 D_i^5

Bioreactor Impeller Power Draw Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.04.08.11216Gassed Power P_g

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

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

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

Sizes agitator electric drive motors and calculates ungassed and gassed power draw (P_g) and impeller tip shear speed for Rushton and hydrofoil bioreactor impellers.

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

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

P=NpρN3Di5P = N_p \rho N^3 D_i^5

Sizes agitator electric drive motors and calculates ungassed and gassed power draw (P_g) and impeller tip shear speed for Rushton and hydrofoil bioreactor impellers.

How to Use the Bioreactor Impeller Power Draw & Power Number (N_p) 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 Draw & Power Number (N_p) Rushton Turbine Calculator Example

Input Values:

impellerDiameterDiMeters:0.45
agitatorRotationalSpeedRpm:300.0
brothDensityKgM3:1040.0
turbulentPowerNumberNp:5.2
numberOfImpellersOnShaft:2.0
gassedPowerReductionRatioPgPo:0.65
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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