Question

In: Other

A membrane consists of a rigid disk of ? = 10 µm thick polycarbonate with 108...

A membrane consists of a rigid disk of ? = 10 µm thick polycarbonate with 108 identical cylindrical pores, each with ? = 30 nm diameter. The pores pass through the entire membrane thickness normal to the membrane surface. Water (? = 1000 kg/m3 , ? = 10−3 Pa∙s) is forced through the membrane by applying a pressure of 10 atm (absolute) upstream, with 1 atm (absolute) pressure downstream. The pores are sufficiently spaced that flow through each pore is independent of that through all other pores. Furthermore, the pores are sufficiently large that continuum fluid mechanics remains valid. (a) Neglecting minor losses, what is the volume flow rate of water through the membrane? (b) Assuming the flow remains incompressible, what is the maximum pressure difference across the membrane at which the flow would be laminar?

Solutions

Expert Solution


Related Solutions

A thin film suspended in air is 0.400 µm thick and is illuminated with white light...
A thin film suspended in air is 0.400 µm thick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.58. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?
The soil profile at a site consists of a clay layer 10 m thick, sandwich between...
The soil profile at a site consists of a clay layer 10 m thick, sandwich between two sand layers. The top sand layer has a density of 1.9 Mg/m3 and is 5 m thick. Below this layer is a 10 m thick clay layer with a saturated density of 1.8 Mg/m3 and a saturated water content 42%. The deeper sand layer has a saturated density of 1.9 Mg/m3 and extend to the depth investigated at the site. The water table...
The soil profile at a site consists of a clay layer 10 m thick, sandwich between...
The soil profile at a site consists of a clay layer 10 m thick, sandwich between two sand layers. The top sand layer has a density of 1.9 Mg/m3 and is 5 m thick. Below this layer is a 10 m thick clay layer with a saturated density of 1.8 Mg/m3 and a saturated water content 42%. The deeper sand layer has a saturated density of 1.9 Mg/m3 and extend to the depth investigated at the site. The water table...
The soil profile at a site consists of a clay layer 10 m thick, sandwich between...
The soil profile at a site consists of a clay layer 10 m thick, sandwich between two sand layers. The top sand layer has a density of 1.9 Mg/m3 and is 5 m thick. Below this layer is a 10 m thick clay layer with a saturated density of 1.8 Mg/m3 and a saturated water content 42%. The deeper sand layer has a saturated density of 1.9 Mg/m3 and extend to the depth investigated at the site. The water table...
The erythrocyte membrane consists of different phospholipids that are asymmetrically distributed across the membrane. Explain the...
The erythrocyte membrane consists of different phospholipids that are asymmetrically distributed across the membrane. Explain the different lipid composition of the inner and outer leaflets of the erythrocyte membrane. Which leaflet would you expect to be the most permeable to Na+ or Cl– ions? Explain your answer.
2. A rigid disk with radius 2 m is spinning at an angular speed of 8...
2. A rigid disk with radius 2 m is spinning at an angular speed of 8 1/s (or 8 rad/s). A constant angular acceleration is applied that slows downthe disk at a rate of 2 1/s2(or 2 rad/s2). (i) Calculate the number of revolutions the disk does before coming to a full stop. (ii) Calculate the centripetal acceleration of a point, positioned at 1 m from the disk rotation axis, at t = 2 s. (iii) Calculate the tangent speed...
Consider a rigid, thick-walled tube that is filled with H2O liquid and vapor at 0.1 MPa....
Consider a rigid, thick-walled tube that is filled with H2O liquid and vapor at 0.1 MPa. After it is sealed, it is heated so that it passes through its critical point. What fraction of the mass in the tube is liquid?
A potter's wheel (a thick stone disk with radius 0.45 m and mass 85 kg) is...
A potter's wheel (a thick stone disk with radius 0.45 m and mass 85 kg) is freely rotating at 52 rev/min. The potter can stop the wheel in 6.3 seconds by pressing a wet rag against the rim and exerting a radially inward force of 85 N. What is the coefficient of kinetic friction between the rag and the wheel? The Correct answer is 0.19 please explain and show in why?
A membrane consists of 36.0 % protein by weight and 64.0 % phosphoglycerides by weight. The...
A membrane consists of 36.0 % protein by weight and 64.0 % phosphoglycerides by weight. The average molecular weight of the lipids is 890. Da, and the average molecular weight of the proteins is 55200 Da. Calculate the molar ratio of lipid to protein. (Enter your answer in number form. Fractional ratios will not be accepted.)
Determine the removal efficiency of a “standard” cyclone that is being designed to remove 10 µm...
Determine the removal efficiency of a “standard” cyclone that is being designed to remove 10 µm diameter particles with a density of 800 kg/m3 , using the following design specifications: • Cyclone barrel diameter = 0.50 m • Gas flow rate = 4.0 m3 /sec • Gas temperature = 25°C Ans. 94.4%
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT