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Consider a cylindrical vessel with radius 200 mm which contains a settling suspension composed of a solvent (solvent density 0.86 g/cm³ and dynamic viscosity 5.2 cP) and spherical particles with mean diameter 50 µm and density 1.4 g/cm³. (a) Consider the segment of suspension that is settling under unhindered settling (type 1) conditions. Calculate the time required to generate the volume of clear layer during the settling as given in the table below. The calculated velocity of the single particle is the velocity at time point 1. To calculate the single particle velocity for time points 2 and 3, consider a velocity reduction of 20% at each progression of settling. Time point 0 1 2 3 (b) A new suspension with different properties (see table below) is settling under unhindered settling (type I) conditions in a cylinder of radius 100 mm. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Volume of clear layer (mL) 0 29 75 300 Using the new settling flow rate shown in the table below, calculate the mean particle diameter using the final time point. 29 75 120 Value 0.999 10.2 1.9 Volume of cle layer (mL) Time (s) 0 0 43 135 375

Consider a cylindrical vessel with radius 200 mm which contains a settling suspension composed of a solvent (solvent density 0.86 g/cm³ and dynamic viscosity 5.2 cP) and spherical particles with mean diameter 50 µm and density 1.4 g/cm³. (a) Consider the segment of suspension that is settling under unhindered settling (type 1) conditions. Calculate the time required to generate the volume of clear layer during the settling as given in the table below. The calculated velocity of the single particle is the velocity at time point 1. To calculate the single particle velocity for time points 2 and 3, consider a velocity reduction of 20% at each progression of settling. Time point 0 1 2 3 (b) A new suspension with different properties (see table below) is settling under unhindered settling (type I) conditions in a cylinder of radius 100 mm. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Volume of clear layer (mL) 0 29 75 300 Using the new settling flow rate shown in the table below, calculate the mean particle diameter using the final time point. 29 75 120 Value 0.999 10.2 1.9 Volume of cle layer (mL) Time (s) 0 0 43 135 375

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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(a) In this question a suspension is settling over time. As time progresses the volume of the clear layer at the top of the cylinder will increase. You know that the clear layer has a cylindrical shape. Therefore, you can calculate the height of the clear layer at each volume given using the equation for the volume of a cylinder. You are told that you can calculate the single particle velocity at time point 1 which corresponds to the point where the volume of the clear layer is 29 mL.

 

 

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 Time (s)  0,1.6,5.3, 26.4

Consider a cylindrical vessel with radius 200 mm which contains a settling suspension composed of a solvent (solvent density 0.86 g/cm³ and dynamic viscosity 5.2 cP) and spherical particles with mean diameter 50 µm and density 1.4 g/cm³. (a) Consider the segment of suspension that is settling under unhindered settling (type 1) conditions. Calculate the time required to generate the volume of clear layer during the settling as given in the table below. The calculated velocity of the single particle is the velocity at time point 1. To calculate the single particle velocity for time points 2 and 3, consider a velocity reduction of 20% at each progression of settling. Time point 0 2 3 (b) A new suspension with different properties (see table below) is settling under unhindered settling (type I) conditions in a cylinder of radius 100 mm. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Volume of clear layer (mL) 0 29 75 300 Value 0.999 10.2 1.9 Using the new settling flow rate shown in the table below, calculate the mean particle diameter using the final time point. 29 75 120 Volume of clear layer (mL) Time (s) 0 0 43 135 375
Transcribed Image Text:Consider a cylindrical vessel with radius 200 mm which contains a settling suspension composed of a solvent (solvent density 0.86 g/cm³ and dynamic viscosity 5.2 cP) and spherical particles with mean diameter 50 µm and density 1.4 g/cm³. (a) Consider the segment of suspension that is settling under unhindered settling (type 1) conditions. Calculate the time required to generate the volume of clear layer during the settling as given in the table below. The calculated velocity of the single particle is the velocity at time point 1. To calculate the single particle velocity for time points 2 and 3, consider a velocity reduction of 20% at each progression of settling. Time point 0 2 3 (b) A new suspension with different properties (see table below) is settling under unhindered settling (type I) conditions in a cylinder of radius 100 mm. Property Fluid density (g/cm³) Fluid dynamic viscosity (CP) Particle density (g/cm³) Volume of clear layer (mL) 0 29 75 300 Value 0.999 10.2 1.9 Using the new settling flow rate shown in the table below, calculate the mean particle diameter using the final time point. 29 75 120 Volume of clear layer (mL) Time (s) 0 0 43 135 375
Unhindered settling, single particle velocity: vs g(Ps-Pf)x² 18μ
Transcribed Image Text:Unhindered settling, single particle velocity: vs g(Ps-Pf)x² 18μ
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