Example 11.1. Figure 11.3 shows a water softener in which water trickles by gravity through a bed of spherical ion-exchange resin particles, each 0.03 in (0.76 mm) in diameter. The bed has a porosity of 0.33. Calculate the volumetric flow rate of water. Applying B.E. from the top surface of the fluid to the outlet of the packed bed and ignoring the kinetic-energy term and the pressure drop through the support screen, which are both small, we find

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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11.5.* Calculate the permeability of the bed of ion-exchange
particles in Example 11.1.
Transcribed Image Text:11.5.* Calculate the permeability of the bed of ion-exchange particles in Example 11.1.
Example 11.1. Figure 11.3 shows a water softener in which water
trickles by gravity through a bed of spherical ion-exchange resin
particles, each 0.03 in (0.76 mm) in diameter. The bed has a
porosity of 0.33. Calculate the volumetric flow rate of water.
Applying B.E. from the top surface of the fluid to the outlet of
the packed bed and ignoring the kinetic-energy term and the
pressure drop through the support screen, which are both small,
we find
1/4 ft
Ift
Large
<-2 in
g(Az)=-F
Water
Ion-exchange
resin D₂ = 0.03 in = 0.76 mm
Wire mesh
support screen
FIGURE 11.3
Gravity drainage of fluid through a porous medium.
(11.C
Transcribed Image Text:Example 11.1. Figure 11.3 shows a water softener in which water trickles by gravity through a bed of spherical ion-exchange resin particles, each 0.03 in (0.76 mm) in diameter. The bed has a porosity of 0.33. Calculate the volumetric flow rate of water. Applying B.E. from the top surface of the fluid to the outlet of the packed bed and ignoring the kinetic-energy term and the pressure drop through the support screen, which are both small, we find 1/4 ft Ift Large <-2 in g(Az)=-F Water Ion-exchange resin D₂ = 0.03 in = 0.76 mm Wire mesh support screen FIGURE 11.3 Gravity drainage of fluid through a porous medium. (11.C
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