1. The settling chamber, shown schematically in Figure 2E1.1, is used as a primary separation device in the removal of dust particles of density 1500 kg/m³ from a gas of density 0:7 kg/m³ and viscosity 1.90 x 10-5 Pa s. Gas inlet Elevation Gas Gas exit exit H Collection surface -W Section X-X Dimensions: H=3m L = 10 m W=2m Figure 2E1.1 Schematic diagram of settling chamber Assuming Stokes' law applies, show that the efficiency of collection of particles of size x is given by the expression collection efficiency, x = x²8(pp - Pi)L 18μHU where U is the uniform gas velocity through the parallel-sided section of the chamber. State any other assumptions made. (b) What is the upper limit of particle size for which Stokes' law applies? (c) When the volumetric flow rate of gas is 0.9 m³/s, and the dimensions of the chamber are those shown in Figure 2E1.1, determine the collection efficiency for spherical particles of diameter 30 mm.
1. The settling chamber, shown schematically in Figure 2E1.1, is used as a primary separation device in the removal of dust particles of density 1500 kg/m³ from a gas of density 0:7 kg/m³ and viscosity 1.90 x 10-5 Pa s. Gas inlet Elevation Gas Gas exit exit H Collection surface -W Section X-X Dimensions: H=3m L = 10 m W=2m Figure 2E1.1 Schematic diagram of settling chamber Assuming Stokes' law applies, show that the efficiency of collection of particles of size x is given by the expression collection efficiency, x = x²8(pp - Pi)L 18μHU where U is the uniform gas velocity through the parallel-sided section of the chamber. State any other assumptions made. (b) What is the upper limit of particle size for which Stokes' law applies? (c) When the volumetric flow rate of gas is 0.9 m³/s, and the dimensions of the chamber are those shown in Figure 2E1.1, determine the collection efficiency for spherical particles of diameter 30 mm.
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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Transcribed Image Text:1.
The settling chamber, shown schematically in Figure 2E1.1, is used as a primary separation device in
the removal of dust particles of density 1500 kg/m³ from a gas of density 0:7 kg/m³ and viscosity 1.90 x 10-5
Pa s.
Gas
inlet
Elevation
Gas
Gas
exit
exit
H
Collection
surface
-W
Section X-X
Dimensions:
H=3m
L = 10 m
W=2m
Figure 2E1.1 Schematic diagram of settling chamber
Assuming Stokes' law applies, show that the efficiency of collection of particles of size x is
given by the expression
collection efficiency, x =
x²8(pp - Pi)L
18μHU
where U is the uniform gas velocity through the parallel-sided section of the chamber.
State any other assumptions made.
(b) What is the upper limit of particle size for which Stokes' law applies?
(c) When the volumetric flow rate of gas is 0.9 m³/s, and the dimensions of the chamber are those shown
in Figure 2E1.1, determine the collection efficiency for spherical particles of diameter 30 mm.
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