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a. How many sphere pack. culate V cylinder occupied by spheres/volume of a sphere .. although this is not exactly correct) b. What is the pressure drop needed to flow water through the pack at a nominal velocity (Q/A) of 0.05 m/s. Use Ergun Equation. c. Would this be laminar or turbulent... or does that even apply? d. What would the permeability be if we applied Darcy's Law (ignoring whether it is laminar or turbulent)

a. How many sphere pack. culate V cylinder occupied by spheres/volume of a sphere .. although this is not exactly correct) b. What is the pressure drop needed to flow water through the pack at a nominal velocity (Q/A) of 0.05 m/s. Use Ergun Equation. c. Would this be laminar or turbulent... or does that even apply? d. What would the permeability be if we applied Darcy's Law (ignoring whether it is laminar or turbulent)

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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5. Porous Flow Problem: Suppose we have a horizontal catalyst pack of spheres 1 mm in diameter, which pack at a porosity of 40 %. The pack is in a cylindrical tube 1 m long, and 8 cm in diameter. Some questions... a. How many spheres (roughly) would fit in the pack. (You can calculate V cylinder occupied by spheres/volume of a sphere .. although this is not exactly correct) b. What is the pressure drop needed to flow water through the pack at a nominal velocity (Q/A) of 0.05 m/s. Use Ergun Equation. c. Would this be laminar or turbulent... or does that even apply? d. What would the permeability be if we applied Darcy's Law (ignoring whether it is laminar or turbulent) 6. For the problem above, if the sphere specific gravity was 0.7, what flow rate (Q) would be required to lift the bed upwards if the orientation were vertical? (Note .. we have to lift the pack and the fluid in it.. not just the pack. So find Q where AP x A = Weight of pack and fluid).
Transcribed Image Text:5. Porous Flow Problem: Suppose we have a horizontal catalyst pack of spheres 1 mm in diameter, which pack at a porosity of 40 %. The pack is in a cylindrical tube 1 m long, and 8 cm in diameter. Some questions... a. How many spheres (roughly) would fit in the pack. (You can calculate V cylinder occupied by spheres/volume of a sphere .. although this is not exactly correct) b. What is the pressure drop needed to flow water through the pack at a nominal velocity (Q/A) of 0.05 m/s. Use Ergun Equation. c. Would this be laminar or turbulent... or does that even apply? d. What would the permeability be if we applied Darcy's Law (ignoring whether it is laminar or turbulent) 6. For the problem above, if the sphere specific gravity was 0.7, what flow rate (Q) would be required to lift the bed upwards if the orientation were vertical? (Note .. we have to lift the pack and the fluid in it.. not just the pack. So find Q where AP x A = Weight of pack and fluid).
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