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3) A batch crystallization process was developed in a 2-L (working volume) reactor in the laboratory. The reactor impeller was 4.2 cm in diameter and operated at a speed of 715 rpm, which was the minimum speed required to fully suspend the crystals. You are asked to scale-up the crystallization process to an 850-L reactor. The fluid has the density and viscosity of water. a) Assuming geometric similarity between the small and large reactors, calculate the impeller diameter of the large reactor. b) Calculate the impeller speed in the large reactor if scaling up based on constant power per volume. c) Calculate the impeller speed in the large reactor if scaling up based on constant impeller tip speed. d) Calculate the impeller speed in the large reactor if scaling up based on minimum speed for full suspension of crystals.

3) A batch crystallization process was developed in a 2-L (working volume) reactor in the laboratory. The reactor impeller was 4.2 cm in diameter and operated at a speed of 715 rpm, which was the minimum speed required to fully suspend the crystals. You are asked to scale-up the crystallization process to an 850-L reactor. The fluid has the density and viscosity of water. a) Assuming geometric similarity between the small and large reactors, calculate the impeller diameter of the large reactor. b) Calculate the impeller speed in the large reactor if scaling up based on constant power per volume. c) Calculate the impeller speed in the large reactor if scaling up based on constant impeller tip speed. d) Calculate the impeller speed in the large reactor if scaling up based on minimum speed for full suspension of crystals.

Introduction to Chemical Engineering Thermodynamics
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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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3) A batch crystallization process was developed in a 2-L (working volume) reactor in the laboratory. The reactor impeller was 4.2 cm in diameter and operated at a speed of 715 rpm, which was the minimum speed required to fully suspend the crystals. You are asked to scale-up the crystallization process to an 850-L reactor. The fluid has the density and viscosity of water. a) Assuming geometric similarity between the small and large reactors, calculate the impeller diameter of the large reactor. b) Calculate the impeller speed in the large reactor if scaling up based on constant power per volume. c) Calculate the impeller speed in the large reactor if scaling up based on constant impeller tip speed. d) Calculate the impeller speed in the large reactor if scaling up based on minimum speed for full suspension of crystals.
Transcribed Image Text:3) A batch crystallization process was developed in a 2-L (working volume) reactor in the laboratory. The reactor impeller was 4.2 cm in diameter and operated at a speed of 715 rpm, which was the minimum speed required to fully suspend the crystals. You are asked to scale-up the crystallization process to an 850-L reactor. The fluid has the density and viscosity of water. a) Assuming geometric similarity between the small and large reactors, calculate the impeller diameter of the large reactor. b) Calculate the impeller speed in the large reactor if scaling up based on constant power per volume. c) Calculate the impeller speed in the large reactor if scaling up based on constant impeller tip speed. d) Calculate the impeller speed in the large reactor if scaling up based on minimum speed for full suspension of crystals.
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