1) Porous Membrane and Pressure differentials Water at 70°C is passed through a polyethylene membrane of 25% porosity having an average pore diameter of 0.30 µm and tortuosity of 1.8. The pressure upstream is 500 kPa and downstream 125 kPa. Assume a 1.0 micron thick membrane. Estimate the flux of water in m³/m² day. If the tortuosity, pore diameter, porosity and membrane thickness each have an uncertainty of 5% (Example: the membrane thickness can be anything from 0.95 micron to 1.05 microns) how does the flux differ?

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
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the viscosity of water at 70 Celcius is .405*10-3 (Ns)/m

the density of water at 70 Celcius is 977.7 kg/m3

 

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1) Porous Membrane and Pressure differentials
Water at 70°C is passed through a polyethylene membrane of 25% porosity having an average pore diameter
of 0.30 um and tortuosity of 1.8. The pressure upstream is 500 kPa and downstream 125 kPa. Assume a
1.0 micron thick membrane. Estimate the flux of water in m³/m? day.
If the tortuosity, pore diameter, porosity and membrane thickness each have an uncertainty of 5% (Example:
the membrane thickness can be anything from 0.95 micron to 1.05 microns) how does the flux differ?
Transcribed Image Text:1) Porous Membrane and Pressure differentials Water at 70°C is passed through a polyethylene membrane of 25% porosity having an average pore diameter of 0.30 um and tortuosity of 1.8. The pressure upstream is 500 kPa and downstream 125 kPa. Assume a 1.0 micron thick membrane. Estimate the flux of water in m³/m? day. If the tortuosity, pore diameter, porosity and membrane thickness each have an uncertainty of 5% (Example: the membrane thickness can be anything from 0.95 micron to 1.05 microns) how does the flux differ?
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