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Gassed Power Number Calculation

Calculates the gassed-to-ungassed power ratio (Pg/P0) and fractional power loss in an aerobic stirred-tank bioreactor using the dimensionless aeration number.

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1. Define Input Parameters

2. Engineering Output

Aeration Number (Na)
- dimensionless
Gassed to Ungassed Power Ratio (Pg_P0)
- dimensionless
Fractional Power Loss (fractional_loss)
- dimensionless
Actual Gassed Power (P_g)
- W

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Context & Assumptions

The gassed-to-ungassed power ratio is a critical metric in aerobic stirred-tank bioreactors for evaluating mechanical power reduction during gas sparging. Accurately estimating this drop ensures proper drive-motor sizing and stable fermenter operation under continuous aeration.

Understand the Engineering Principles

Review the step-by-step derivations, typical industrial limits, and scale-up rules.

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