A laboratory test was conducted with a small, tubular-bowl centrifuge on a fermentation broth. At the operating conditions, a sigma value of 7,400 ft2 was computed, with a measured volumetric flow rate of 0.11 gpm. For the commercial plant that will process the same broth, the largest tubular-bowl centrifuge available has the following characteristics: bowl speed = 15,000 rpm, R0=5 cm, R1=2 cm, and bowl length = L = 10 cm. Using the sigma scale-up theory, calculate how many gpm this unit can process.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A laboratory test was conducted with a small, tubular-bowl centrifuge on a fermentation broth. At the operating conditions, a sigma value of 7,400 ft2 was computed, with a measured volumetric flow rate of 0.11 gpm. For the commercial plant that will process the same broth, the largest tubular-bowl centrifuge available has the following characteristics: bowl speed = 15,000 rpm, R0=5 cm, R1=2 cm, and bowl length = L = 10 cm. Using the sigma scale-up theory, calculate how many gpm this unit can process.

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