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Bioreactor Impeller Power Number (N_p) & Ungassed Power Consumption Calculator

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

Standard Rushton 6-blade turbine Np ≈ 5.0; Hydrofoil Pitched blade ≈ 1.3.

Shaft revolutions per minute.

Blade tip diameter.

Aqueous fermentation broth density.

Calculated Result
38.99 kW

Agitator Power

Agitator Power

38.99 kW

Ungassed Impeller Power Kw

38.99

Ungassed Impeller Power Horsepower

52.3

Impeller Tip Speed M Per Sec

8.17

Shear Sensitivity Note

High Tip Speed (> 6 m/s): Severe shear stress; risk of shearing filamentous fungi or mammalian cells

38.99 — kW

Calculation Breakdown

  1. Applied FormulaCalculates the ungassed mechanical power consumption (kW) and impeller tip speed (m/s) for stirred-tank fermenters in the turbulent mixing regime.P = N_p \rho N^3 D_i^5, \quad v_{\text{tip}} = \pi D_i N

Impeller Power Number (N_p) Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.09.7192939Agitator Power

What Is the Bioreactor Impeller Power Number (N_p) & Ungassed Power Consumption Calculator?

This tool computes bioreactor impeller power number (n_p) & ungassed power consumption calculator with high precision arithmetic.

How Does the Bioreactor Impeller Power Number (N_p) & Ungassed Power Consumption Calculator Work?

Calculates the ungassed mechanical power consumption (kW) and impeller tip speed (m/s) for stirred-tank fermenters in the turbulent mixing regime.

Bioreactor Impeller Power Number (N_p) & Ungassed Power Consumption Calculator Formula & Variables

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

P=NpρN3Di5,vtip=πDiNP = N_p \rho N^3 D_i^5, \quad v_{\text{tip}} = \pi D_i N

Calculates the ungassed mechanical power consumption (kW) and impeller tip speed (m/s) for stirred-tank fermenters in the turbulent mixing regime.

How to Use the Bioreactor Impeller Power Number (N_p) & Ungassed Power Consumption Calculator

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

Step-by-Step Example Calculation

Bioreactor Impeller Power Number (N_p) & Ungassed Power Consumption Calculator Example

Input Values:

impellerPowerNumberNp:5
agitatorSpeedRpm:240
impellerDiameterMeters:0.65
brothDensityKgPerM3:1050
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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