the dimensionless spray flux

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
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Problem 2 (Size Enlargement)
A pharmaceutical product is being scaled up from a pilot scale mixer granulator with a batch size
of 2.5 kg to a full-scale mixer granulator with a 50 kg batch size. In the pilot scale mixer, 0.15 kg
of water is added to the mixer over 25 minutes through a nozzle producing 150 um diameter spray
drops across a 0.25 m wide spray.
During scale up, the ratio of liquid to dry powder is kept constant but the solution flowrate can be
scaled to maintain either constant spray time or constant spray rate through the nozzle. If the flow
rate is increased to maintain constant spray time, the new nozzle produces 500 µm drops over a
1.00 m wide spray zone.
The powder velocities in the spray zone are currently 1.0 m/s and 0.75 m/s for pilot scale and full
scale respectively.
Calculate the following for (a) pilot scale, (b) full scale at constant spray time, and (c) full scale at
constant spray rate:
i. the dimensionless spray flux
ii.
the fraction of the powder surface wetted by the spray
iii. the percentage of nuclei formed by a single drop
iv. the percentage of nuclei formed by 2 drops
Transcribed Image Text:Problem 2 (Size Enlargement) A pharmaceutical product is being scaled up from a pilot scale mixer granulator with a batch size of 2.5 kg to a full-scale mixer granulator with a 50 kg batch size. In the pilot scale mixer, 0.15 kg of water is added to the mixer over 25 minutes through a nozzle producing 150 um diameter spray drops across a 0.25 m wide spray. During scale up, the ratio of liquid to dry powder is kept constant but the solution flowrate can be scaled to maintain either constant spray time or constant spray rate through the nozzle. If the flow rate is increased to maintain constant spray time, the new nozzle produces 500 µm drops over a 1.00 m wide spray zone. The powder velocities in the spray zone are currently 1.0 m/s and 0.75 m/s for pilot scale and full scale respectively. Calculate the following for (a) pilot scale, (b) full scale at constant spray time, and (c) full scale at constant spray rate: i. the dimensionless spray flux ii. the fraction of the powder surface wetted by the spray iii. the percentage of nuclei formed by a single drop iv. the percentage of nuclei formed by 2 drops
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