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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
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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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.

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
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]
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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