4. A certain sludge is treated with a centrifuge with the following data: Diameter = 22 in N = 1 285 rpm Depth = 14 in The solid component of the sludge has specific gravity of 1.6. Calculate the capacity in SG of liquid = 1.2 thickness (iquid layer) = 1.8 in viscosity of liquid = 2,8 cP Des = 37 microns apm.
4. A certain sludge is treated with a centrifuge with the following data: Diameter = 22 in N = 1 285 rpm Depth = 14 in The solid component of the sludge has specific gravity of 1.6. Calculate the capacity in SG of liquid = 1.2 thickness (iquid layer) = 1.8 in viscosity of liquid = 2,8 cP Des = 37 microns apm.
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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Solve the following and round your answer up to 4 decimal places
Transcribed Image Text:4. A certain sludge is treated with a centrifuge with the following data:
SG of liquid = 1.2 thickness (iquid layer) = 18 in
viscosity of liquid = 2,8 cP
Des = 37 microns
Diameter = 22 in
N= 1285 rpm
Depth = 14 in
The solid component of the sludge has specific gravity of 1.6. Calculate the capacity in
gpm.
Expert Solution
Step 1
Given:
Bowl diameter, d = 22 in. = 0.5588 m
Bowl depth, b = 14 in. = 0.3556 m
Liquid layer thickness, t = 1.8 in. = 0.04572 m
Speed of the centrifuge, ω = 1285 rpm
Specific gravity of the liquid layer, (SG)L = 1.2
Viscosity of the liquid layer, μL = 2.8 cP = 2800 kg/m-s
Specific gravity of the solid layer, (SG)S = 1.6
Particle cut size, dpc = 37 μm = 3.7 x 10-5 m
Step 2
The bowl radius is the outside radius and is calculated as:
The inside radius of the bowl is calculated from the liquid layer thickness as:
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