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Agitated Fermenter Impeller Power Number (Gassed vs Ungassed) Calculator

Easily calculate and compute agitated fermenter impeller power number (gassed vs ungassed) calculator with accurate equations, live formulas, and expert guidance.

Calculated Result
117 kW

Gassed Agitation Motor Power (P_g)

Gassed Agitation Motor Power (P_g)

117 kW

Total Ungassed Power Kw

188.7

Impeller Tip Speed M Per S

8.01

Shear Sensitivity Warning

HIGH SHEAR (Mammalian Cell Damage Risk - Hydrofoils Preferred)

117 — kW

Calculation Breakdown

  1. Applied FormulaCalculates turbulent ungassed and gassed agitation shaft power consumption for Rushton turbines, hydrofoils, and pitched blade impellers.P_0 = N_p \rho N^3 D^5, \quad \frac{P_g}{P_0} = 0.10 \left( \frac{Q_g}{N D^3} \right)^{-0.25} \left( \frac{N^2 D}{g} \right)^{-0.20}

Fermenter Impeller Power Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.0295988117Gassed Agitation Motor Power (P_g)

What Is the Agitated Fermenter Impeller Power Number (Gassed vs Ungassed) Calculator?

This tool computes agitated fermenter impeller power number (gassed vs ungassed) calculator with high precision arithmetic.

How Does the Agitated Fermenter Impeller Power Number (Gassed vs Ungassed) Calculator Work?

Calculates turbulent ungassed and gassed agitation shaft power consumption for Rushton turbines, hydrofoils, and pitched blade impellers.

Agitated Fermenter Impeller Power Number (Gassed vs Ungassed) Calculator Formula & Variables

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

P0=NpρN3D5,PgP0=0.10(QgND3)−0.25(N2Dg)−0.20P_0 = N_p \rho N^3 D^5, \quad \frac{P_g}{P_0} = 0.10 \left( \frac{Q_g}{N D^3} \right)^{-0.25} \left( \frac{N^2 D}{g} \right)^{-0.20}

Calculates turbulent ungassed and gassed agitation shaft power consumption for Rushton turbines, hydrofoils, and pitched blade impellers.

How to Use the Agitated Fermenter Impeller Power Number (Gassed vs Ungassed) Calculator

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

Step-by-Step Example Calculation

Agitated Fermenter Impeller Power Number (Gassed vs Ungassed) Calculator Example

Input Values:

impellerDiameterMeters:0.85
agitatorSpeedRpm:180
numberOfImpellers:3
impellerPowerNumberNp:5
brothDensityKgM3:1050
gassedPowerRatioPgOverP0:0.62
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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