TASK 4: Consider a suspension settling under hindered settling conditions (type III) in a cylinder with radius 50 mm. Suspension properties are listed in the table below. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Particle mean diameter (um) Porosity (a) Determine the hindered velocity of settling. (b) A new suspension is settling under hindered settling conditions (type III) in a cylinder with radius 120 mm. Suspension properties are listed in the table below. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Particle mean diameter (um) 0.2 < Re < 1 1 < Re < 500 Value 0.867 14.3 1.45 55 0.55 In this case, the single particle velocity is 1.7 x 10-4 m/s. Determine the Galileo number and the Richardson Zaki index selecting the appropriate Richardson Zaki n index equation. Re at terminal velocity Re < 0.2 500 < Re Value 0.864 5.5 2.1 100 Richardson Zaki n index 5) n = 4.65 +19.5 ( 2.39 n = (4.35 +17.5)) Re n = (4.45 + 18 )) Re-0.1 Re-0.03
TASK 4: Consider a suspension settling under hindered settling conditions (type III) in a cylinder with radius 50 mm. Suspension properties are listed in the table below. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Particle mean diameter (um) Porosity (a) Determine the hindered velocity of settling. (b) A new suspension is settling under hindered settling conditions (type III) in a cylinder with radius 120 mm. Suspension properties are listed in the table below. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Particle mean diameter (um) 0.2 < Re < 1 1 < Re < 500 Value 0.867 14.3 1.45 55 0.55 In this case, the single particle velocity is 1.7 x 10-4 m/s. Determine the Galileo number and the Richardson Zaki index selecting the appropriate Richardson Zaki n index equation. Re at terminal velocity Re < 0.2 500 < Re Value 0.864 5.5 2.1 100 Richardson Zaki n index 5) n = 4.65 +19.5 ( 2.39 n = (4.35 +17.5)) Re n = (4.45 + 18 )) Re-0.1 Re-0.03
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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Question
100%
ANSWERS ARE
W6/T4 (a) 1.6 x 10-5 m/s
(b) Ga = 3.35 x 109 , n = 4.66
SHOW WORKING ON HOW TO REACH THESE PLEASE DONT COPY FROM OTHER QUETIONS AS THESE ARE WRONG.
Transcribed Image Text:TASK 4:
Consider
a suspension settling under hindered settling conditions (type III) in a cylinder with
radius 50 mm. Suspension properties are listed in the table below.
Property
Fluid density (g/cm³)
Fluid dynamic viscosity (CP)
Particle density (g/cm³)
Particle mean diameter (um)
Porosity
Property
Fluid density (g/cm³)
Fluid dynamic viscosity (CP)
Particle density (g/cm³)
Particle mean diameter (µm)
(a) Determine the hindered velocity of settling.
(b) A new suspension is settling under hindered settling conditions (type III) in a cylinder with
radius 120 mm. Suspension properties are listed in the table below.
0.2 < Re < 1
1 < Re < 500
Value
0.867
14.3
In this case, the single particle velocity is 1.7 x 10-4 m/s. Determine the Galileo number and
the Richardson Zaki index selecting the appropriate Richardson Zaki n index equation.
Re at terminal velocity
Re < 0.2
500 < Re
1.45
55
0.55
Value
0.864
5.5
2.1
100
Richardson Zaki n index
1.5 (5)
2.39
n = 4.65 + 19.5 (
n = (4.35 + 17.5 (-)) Re-0.0
n = (4.45 + 18 (-)) Re-0.1
![CP414 PARTICLE TECHNOLOGY: LIST OF EQUATIONS PART 2
Rate of change of mass fraction of particles in size interval i with time:
Dimensionless spray flux:
Critical velocity:
Archimedes number:
F (when Ar> 80):
F (when Ar < 80):
Galileo number: Ga =
D³ gp²
μ²
Richardson and Zaki index:
Brownian distance: L =
Brownian time: t =
2kT
3πxμ
4.8-n
n-2.4
dyi
dt
Unhindered settling, single particle velocity: V =
Vh
Hindered settling velocity: = En
Vs
t
Carman-Kozeny equation:
ya =
-AP
j=i-1
Σ [b(i,j)S;y;] – Si
Vc = F
(²-1)
Ar = x³ pf (Ps - Pf)/2
F = a Arb
F =
216kTμ
ng² (ps-Pf)²x5
3Q
ZvsWsdd
x Vs Pf
Particle Reynold's number: Re = H
√2 [2 + 0.3 log₁0 ()]
-AP 32μU
Hagen-Poiseuille equation: =
1
D²
Reynold's number in a packed bed: Re =
gD
= 0.043 Gq 0.57
xUpf
μ(1-ɛ)
g(Ps-Pf)x²
18μ
= kμUS² (1-8)²
83
7 [₁
Turbulent regime equation: ² = 1.75 ₁²(1-8)
-AP
x 83
-1.24 (5) 0.²7]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde55ad6b-27eb-44c5-bca1-afdb32f2dfc7%2F48b1ed16-ca9f-488d-bbb8-65700ce7f28e%2F35la0x_processed.png&w=3840&q=75)
Transcribed Image Text:CP414 PARTICLE TECHNOLOGY: LIST OF EQUATIONS PART 2
Rate of change of mass fraction of particles in size interval i with time:
Dimensionless spray flux:
Critical velocity:
Archimedes number:
F (when Ar> 80):
F (when Ar < 80):
Galileo number: Ga =
D³ gp²
μ²
Richardson and Zaki index:
Brownian distance: L =
Brownian time: t =
2kT
3πxμ
4.8-n
n-2.4
dyi
dt
Unhindered settling, single particle velocity: V =
Vh
Hindered settling velocity: = En
Vs
t
Carman-Kozeny equation:
ya =
-AP
j=i-1
Σ [b(i,j)S;y;] – Si
Vc = F
(²-1)
Ar = x³ pf (Ps - Pf)/2
F = a Arb
F =
216kTμ
ng² (ps-Pf)²x5
3Q
ZvsWsdd
x Vs Pf
Particle Reynold's number: Re = H
√2 [2 + 0.3 log₁0 ()]
-AP 32μU
Hagen-Poiseuille equation: =
1
D²
Reynold's number in a packed bed: Re =
gD
= 0.043 Gq 0.57
xUpf
μ(1-ɛ)
g(Ps-Pf)x²
18μ
= kμUS² (1-8)²
83
7 [₁
Turbulent regime equation: ² = 1.75 ₁²(1-8)
-AP
x 83
-1.24 (5) 0.²7]
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