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TASK 4: You know the compressibility index (n = 1.7) of a suspension split in three aliquots, filtered under constant pressure filtration conditions at 3 different driving forces (20, 30, and 40 bar). Volume of cake formed by the passage of unit volume of filtrate is equal to 10. (a) Calculate the cake resistance of the three aliquots. (b) For the slurry aliquot filtered at a driving force of 20 bar, calculate the filtrate flow rate (mL/s) at the end of the filtration experiment. Use the filtration time and properties of the filter and suspension reported in the tables below. Time (s) 0 15 30 35 42 Property Diameter cylindrical filter (mm) Viscosity of fluid (CP) Density of fluid (g/cm³) Total filtrate volume (mL) Powder bed porosity (c) Calculate the mean particle diameter of the slurry aliquot filtered at 30 bar of driving force. Value 50 6.9 0.86 600 0.6

TASK 4: You know the compressibility index (n = 1.7) of a suspension split in three aliquots, filtered under constant pressure filtration conditions at 3 different driving forces (20, 30, and 40 bar). Volume of cake formed by the passage of unit volume of filtrate is equal to 10. (a) Calculate the cake resistance of the three aliquots. (b) For the slurry aliquot filtered at a driving force of 20 bar, calculate the filtrate flow rate (mL/s) at the end of the filtration experiment. Use the filtration time and properties of the filter and suspension reported in the tables below. Time (s) 0 15 30 35 42 Property Diameter cylindrical filter (mm) Viscosity of fluid (CP) Density of fluid (g/cm³) Total filtrate volume (mL) Powder bed porosity (c) Calculate the mean particle diameter of the slurry aliquot filtered at 30 bar of driving force. Value 50 6.9 0.86 600 0.6

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) 5.15 x 1010 m-2 , 1.03 x 1011 m-2 , 1.67 x 1011 m-2

(b) 7.23 mL/s

(c) 32.9 µm

 

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TASK 4: You know the compressibility index (n = 1.7) of a suspension split in three aliquots, filtered under constant pressure filtration conditions at 3 different driving forces (20, 30, and 40 bar). Volume of cake formed by the passage of unit volume of filtrate is equal to 10. (a) Calculate the cake resistance of the three aliquots. (b) For the slurry aliquot filtered at a driving force of 20 bar, calculate the filtrate flow rate (mL/s) at the end of the filtration experiment. Use the filtration time and properties of the filter and suspension reported in the tables below. Time (s) 0 15 30 35 42 Property Diameter cylindrical filter (mm) Viscosity of fluid (cP) Density of fluid (g/cm³) Total filtrate volume (mL) Powder bed porosity (c) Calculate the mean particle diameter of the slurry aliquot filtered at 30 bar of driving force. Value 50 6.9 0.86 600 0.6
Transcribed Image Text:TASK 4: You know the compressibility index (n = 1.7) of a suspension split in three aliquots, filtered under constant pressure filtration conditions at 3 different driving forces (20, 30, and 40 bar). Volume of cake formed by the passage of unit volume of filtrate is equal to 10. (a) Calculate the cake resistance of the three aliquots. (b) For the slurry aliquot filtered at a driving force of 20 bar, calculate the filtrate flow rate (mL/s) at the end of the filtration experiment. Use the filtration time and properties of the filter and suspension reported in the tables below. Time (s) 0 15 30 35 42 Property Diameter cylindrical filter (mm) Viscosity of fluid (cP) Density of fluid (g/cm³) Total filtrate volume (mL) Powder bed porosity (c) Calculate the mean particle diameter of the slurry aliquot filtered at 30 bar of driving force. Value 50 6.9 0.86 600 0.6
EQN SHEET Particle Reynold's number: Re = *s Pr μ Reynold's number in a packed bed: Re= 32μU Hagen-Poiseuille equation: AP = D² -AP Carman-Kozeny equation: = kuUS² (1)² -AP Turbulent regime equation: = 1.75 Pr²(1-E) x 83 Ergun equation: = 150 μU(1-E)² x²ɛ³ Filtration cake resistance: a = 150(1-g)² Cake compressibility index: In a = n In AP Constant pressure drop filtration: How part a is calculated Ina = пли др WIVAA α = Gas cyclone characteristic gas velocity: v= a C t Feedback to aid with (b) e +1.75 U² (1-6) XE³ xUpf μ(1-ɛ) αφμ 2A² (-AP) 5-158 (0 to 1714 20x105 -V+ JAR 24P √Eu pf = Rimou A²(-AP) -Veq @ 20 Borr Task 4 (b): To determine the flow rate of filtrate you need to consider the cake resistance and the constant pressure filtration equation. dV 2A²(-AP) dt αμφVrotat You can use this equation to calculate the filtrate flow rate and the volume of filtrate at each time point during the filtration. You will notice in this question that the filter media resistance (Rm) is neglected and so the filtration equation ignores that term in the equation. This is in contrast to the worked example in the lecture which includes the filter media resistance term. Typically, tutorial questions in this class will ignore the filter media resistance.
Transcribed Image Text:EQN SHEET Particle Reynold's number: Re = *s Pr μ Reynold's number in a packed bed: Re= 32μU Hagen-Poiseuille equation: AP = D² -AP Carman-Kozeny equation: = kuUS² (1)² -AP Turbulent regime equation: = 1.75 Pr²(1-E) x 83 Ergun equation: = 150 μU(1-E)² x²ɛ³ Filtration cake resistance: a = 150(1-g)² Cake compressibility index: In a = n In AP Constant pressure drop filtration: How part a is calculated Ina = пли др WIVAA α = Gas cyclone characteristic gas velocity: v= a C t Feedback to aid with (b) e +1.75 U² (1-6) XE³ xUpf μ(1-ɛ) αφμ 2A² (-AP) 5-158 (0 to 1714 20x105 -V+ JAR 24P √Eu pf = Rimou A²(-AP) -Veq @ 20 Borr Task 4 (b): To determine the flow rate of filtrate you need to consider the cake resistance and the constant pressure filtration equation. dV 2A²(-AP) dt αμφVrotat You can use this equation to calculate the filtrate flow rate and the volume of filtrate at each time point during the filtration. You will notice in this question that the filter media resistance (Rm) is neglected and so the filtration equation ignores that term in the equation. This is in contrast to the worked example in the lecture which includes the filter media resistance term. Typically, tutorial questions in this class will ignore the filter media resistance.
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