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A suspension with known properties (see table below) is filtered in a 1.73 m² area leaf filter using a driving force of 300 kPa. Volume of cake formed by the passage of unit volume of filtrate is equal to 5. Property Fluid viscosity (CP) Fluid density (g/cm³) Filtration flow rate is reported in the table below. Volume of Filtrate Collected (m³) 0.19 0.31 0.41 0.49 0.56 0.63 Value 2.4 0.789 Time (s) 300 600 900 1200 1500 1800 (a) Calculate the cake resistance at the constant pressure drop of 300 kPa. (b) Calculate the cake resistance when the liquid viscosity is equal to 10.2 cP. (c) Calculate the mean particle diameter of the slurry at known solid volume fraction of 0.73.

A suspension with known properties (see table below) is filtered in a 1.73 m² area leaf filter using a driving force of 300 kPa. Volume of cake formed by the passage of unit volume of filtrate is equal to 5. Property Fluid viscosity (CP) Fluid density (g/cm³) Filtration flow rate is reported in the table below. Volume of Filtrate Collected (m³) 0.19 0.31 0.41 0.49 0.56 0.63 Value 2.4 0.789 Time (s) 300 600 900 1200 1500 1800 (a) Calculate the cake resistance at the constant pressure drop of 300 kPa. (b) Calculate the cake resistance when the liquid viscosity is equal to 10.2 cP. (c) Calculate the mean particle diameter of the slurry at known solid volume fraction of 0.73.

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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answres -  (a) 4.38 x 1011 m-2 (b) 1.03 x 1011 m-2 (c) 96.3 µm

 

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A suspension with known properties (see table below) is filtered in a 1.73 m² area leaf filter using a driving force of 300 kPa. Volume of cake formed by the passage of unit volume of filtrate is equal to 5. Property Fluid viscosity (CP) Fluid density (g/cm³) Filtration flow rate is reported in the table below. Volume of Filtrate Collected (m³) 0.19 0.31 0.41 0.49 0.56 0.63 Value 2.4 0.789 Time (s) 300 600 900 1200 1500 1800 (a) Calculate the cake resistance at the constant pressure drop of 300 kPa. (b) Calculate the cake resistance when the liquid viscosity is equal to 10.2 cP. (c) Calculate the mean particle diameter of the slurry at known solid volume fraction of 0.73.
Transcribed Image Text:A suspension with known properties (see table below) is filtered in a 1.73 m² area leaf filter using a driving force of 300 kPa. Volume of cake formed by the passage of unit volume of filtrate is equal to 5. Property Fluid viscosity (CP) Fluid density (g/cm³) Filtration flow rate is reported in the table below. Volume of Filtrate Collected (m³) 0.19 0.31 0.41 0.49 0.56 0.63 Value 2.4 0.789 Time (s) 300 600 900 1200 1500 1800 (a) Calculate the cake resistance at the constant pressure drop of 300 kPa. (b) Calculate the cake resistance when the liquid viscosity is equal to 10.2 cP. (c) Calculate the mean particle diameter of the slurry at known solid volume fraction of 0.73.
Particle Reynold's number: Re = Reynold's number in a packed bed: Re= -AP 32μU D² Hagen-Poiseuille equation: = -ΔΡ Carman-Kozeny equation: 4² = x Vs Pf μl Turbulent regime equation: 4: Filtration cake resistance: a = kµUS² (1–ɛ)² 83 - = 1.75 PƒU² (1-ɛ) χε3 -AP Ergun equation: P = 150 “U(1−8)² x² 83 xUpf μ(1-⁹) - +1.75 PƒU² (1−ɛ) χε3 150(1-)² Xv8³ Cake compressibility index: In a = n ln AP Constant pressure drop filtration: = αφμ 2A² (-AP) ·V + RmOμ A²(-AP) -Veq
Transcribed Image Text:Particle Reynold's number: Re = Reynold's number in a packed bed: Re= -AP 32μU D² Hagen-Poiseuille equation: = -ΔΡ Carman-Kozeny equation: 4² = x Vs Pf μl Turbulent regime equation: 4: Filtration cake resistance: a = kµUS² (1–ɛ)² 83 - = 1.75 PƒU² (1-ɛ) χε3 -AP Ergun equation: P = 150 “U(1−8)² x² 83 xUpf μ(1-⁹) - +1.75 PƒU² (1−ɛ) χε3 150(1-)² Xv8³ Cake compressibility index: In a = n ln AP Constant pressure drop filtration: = αφμ 2A² (-AP) ·V + RmOμ A²(-AP) -Veq
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