One of the most frequently used devices for batch fermentations is the stirred tank. The power that should be applied to the stirrer (P) is a function of its rotation velocity (N) and diameter (D), density (ρ) and viscosity of the substrate, gravityacceleration (g), and time (t) since the beginning of operation. Demonstrate using the method for dimensional analysis of your choice that the power module (Po) is a function of the Reynolds (Re) number, Froude’s (Fr) number and time module (Nt)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
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Problem 17P: Find the order of magnitude of the number of table-tennis balls that would fit into a typical-size...
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One of the most frequently used devices for batch fermentations is the stirred tank.

The power that should be applied to the stirrer (P) is a function of its rotation

velocity (N) and diameter (D), density (ρ) and viscosity of the substrate, gravityacceleration (g), and time (t) since the beginning of operation. Demonstrate using

the method for dimensional analysis of your choice that the power module (Po) is a

function of the Reynolds (Re) number, Froude’s (Fr) number and time module (Nt)

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