A sand pack is used to filter impurities from molten polyester downstream of the extruder and prior to being spun into filaments. The polymer is at T= 280°C and can be approximated as a Newtonian fluid with µ= 650 Pa•s and p= 1365 kg/m³. The sand pack is 47 mm in diameter (the diameter of the pipe through which the flow is traveling) and 16 mm in depth (the length through the packing). The mass flow rate is 5 x 10-4 kg/s. The sand particles have a diameter Dp = 0.7 mm and a void fraction ɛ= %3D 0.38. (a) What is the pressure drop [ Pa ] though this packed bed?
A sand pack is used to filter impurities from molten polyester downstream of the extruder and prior to being spun into filaments. The polymer is at T= 280°C and can be approximated as a Newtonian fluid with µ= 650 Pa•s and p= 1365 kg/m³. The sand pack is 47 mm in diameter (the diameter of the pipe through which the flow is traveling) and 16 mm in depth (the length through the packing). The mass flow rate is 5 x 10-4 kg/s. The sand particles have a diameter Dp = 0.7 mm and a void fraction ɛ= %3D 0.38. (a) What is the pressure drop [ Pa ] though this packed bed?
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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![## Problem 6
A sand pack is used to filter impurities from molten polyester downstream of the extruder and prior to being spun into filaments. The polymer is at a temperature \( T = 280^\circ C \) and can be approximated as a Newtonian fluid with a viscosity \( \mu = 650 \, \text{Pa} \cdot \text{s} \) and a density \( \rho = 1365 \, \text{kg/m}^3 \). The sand pack is 47 mm in diameter (the diameter of the pipe through which the flow is traveling) and 16 mm in depth (the length through the packing). The mass flow rate is \( 5 \times 10^{-4} \, \text{kg/s} \). The sand particles have a diameter \( D_p = 0.7 \, \text{mm} \) and a void fraction \( \varepsilon = 0.38 \).
(a) What is the pressure drop [Pa] through this packed bed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5d528f6-f704-4253-8470-44f2fbc0de86%2F26bbe0be-3aac-4e05-8ae6-239031ba7f26%2Fi2brtnd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Problem 6
A sand pack is used to filter impurities from molten polyester downstream of the extruder and prior to being spun into filaments. The polymer is at a temperature \( T = 280^\circ C \) and can be approximated as a Newtonian fluid with a viscosity \( \mu = 650 \, \text{Pa} \cdot \text{s} \) and a density \( \rho = 1365 \, \text{kg/m}^3 \). The sand pack is 47 mm in diameter (the diameter of the pipe through which the flow is traveling) and 16 mm in depth (the length through the packing). The mass flow rate is \( 5 \times 10^{-4} \, \text{kg/s} \). The sand particles have a diameter \( D_p = 0.7 \, \text{mm} \) and a void fraction \( \varepsilon = 0.38 \).
(a) What is the pressure drop [Pa] through this packed bed?
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