Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 16.13, Problem 41KCP
What compositions of Ni–Fe alloys are especially important for electrical applications?
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2. Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The membrane is
30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight
of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a
solution containing a protein at a concentration of 8 g L-1 with these properties: a = 3 nm and DAB = 6.0 ×
10-7 cm² s¹. The solution viscosity is 1 cP. The hydrodynamic pressure on the protein side of the
membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Assume
that the hydrodynamic pressure difference is much larger than the osmotic pressure difference
(advection >> diffusion). Determine the convective flow rate of the solution across the membrane.
1. Calculate the filtration flow rate (cm³ s¹) of a pure fluid across a 100 cm² membrane. Assume the
viscosity (µ) of the fluid is 1.8 cP. The porosity of the membrane is 40% and the thickness of the
membrane is 500 μm. The pores run straight through the membrane and these pores have a radius of
0.225 μm. The pressure drop applied across the membrane is 75 psi. (Note: 1 cP = 0.001 N s m²² = 0.001
Pa s.)
3. Tong and Anderson (1996) obtained for BSA the following data in a polyacrylamide gel for the
partition coefficient (K) as a function of the gel volume fraction (4). The BSA they used had a molecular
weight of 67,000, a molecular radius of 3.6 nm, and a diffusivity of 6 × 10-7 cm2 s-1. Compare the
Ogston equation
K=exp
+
to their data and obtain an estimate for the radius of the cylindrical fibers (af) that comprise the gel.
Hint: You will need to plot Ink as a function of gel volume fraction as part of your analysis. Please include
your MATLAB, or other, code with your solution.
Gel Volume Fraction (4)
KBSA
0.00
1.0
0.025
0.35
0.05
0.09
0.06
0.05
0.075
0.017
0.085
0.02
0.105
0.03
Chapter 16 Solutions
Foundations of Materials Science and Engineering
Ch. 16.13 - Prob. 1KCPCh. 16.13 - Prob. 2KCPCh. 16.13 - Prob. 3KCPCh. 16.13 - Prob. 4KCPCh. 16.13 - What is the relationship between B and H?Ch. 16.13 - Prob. 6KCPCh. 16.13 - Prob. 7KCPCh. 16.13 - Prob. 8KCPCh. 16.13 - Prob. 9KCPCh. 16.13 - Prob. 10KCP
Ch. 16.13 - Prob. 11KCPCh. 16.13 - Prob. 12KCPCh. 16.13 - Prob. 13KCPCh. 16.13 - Prob. 14KCPCh. 16.13 - Prob. 15KCPCh. 16.13 - Prob. 16KCPCh. 16.13 - Prob. 17KCPCh. 16.13 - Prob. 18KCPCh. 16.13 - Prob. 19KCPCh. 16.13 - Prob. 20KCPCh. 16.13 - Prob. 21KCPCh. 16.13 - Prob. 22KCPCh. 16.13 - Prob. 23KCPCh. 16.13 - Prob. 24KCPCh. 16.13 - Prob. 25KCPCh. 16.13 - Prob. 26KCPCh. 16.13 - Prob. 27KCPCh. 16.13 - Prob. 28KCPCh. 16.13 - Prob. 29KCPCh. 16.13 - Prob. 30KCPCh. 16.13 - Prob. 31KCPCh. 16.13 - Prob. 32KCPCh. 16.13 - Prob. 33KCPCh. 16.13 - Prob. 34KCPCh. 16.13 - Prob. 35KCPCh. 16.13 - What are eddy currents? How are they created in a...Ch. 16.13 - Prob. 37KCPCh. 16.13 - Prob. 38KCPCh. 16.13 - Prob. 39KCPCh. 16.13 - Prob. 40KCPCh. 16.13 - What compositions of NiFe alloys are especially...Ch. 16.13 - Prob. 42KCPCh. 16.13 - Prob. 43KCPCh. 16.13 - Prob. 44KCPCh. 16.13 - Prob. 45KCPCh. 16.13 - Prob. 46KCPCh. 16.13 - Prob. 47KCPCh. 16.13 - Prob. 48KCPCh. 16.13 - Prob. 49KCPCh. 16.13 - Prob. 50KCPCh. 16.13 - Prob. 51KCPCh. 16.13 - Prob. 52KCPCh. 16.13 - Prob. 53KCPCh. 16.13 - Prob. 54KCPCh. 16.13 - Prob. 55KCPCh. 16.13 - Prob. 56KCPCh. 16.13 - Prob. 57KCPCh. 16.13 - Prob. 58KCPCh. 16.13 - Prob. 59KCPCh. 16.13 - Prob. 60KCPCh. 16.13 - Prob. 61KCPCh. 16.13 - Prob. 62AAPCh. 16.13 - Prob. 63AAPCh. 16.13 - Prob. 64AAPCh. 16.13 - Prob. 65AAPCh. 16.13 - Prob. 66AAPCh. 16.13 - Gadolinium at very low temperatures has an average...Ch. 16.13 - Prob. 68AAPCh. 16.13 - Prob. 69AAPCh. 16.13 - Prob. 70AAPCh. 16.13 - Prob. 71AAPCh. 16.13 - Prob. 72AAPCh. 16.13 - Prob. 73AAPCh. 16.13 - Prob. 74AAPCh. 16.13 - Prob. 75AAPCh. 16.13 - Draw a hysteresis B-H loop for a ferromagnetic...Ch. 16.13 - Describe what happens to the magnetic induction...Ch. 16.13 - What happens to the magnetic domains of a...Ch. 16.13 - What are desirable magnetic properties for a soft...Ch. 16.13 - What are hysteresis energy losses? What factors...Ch. 16.13 - How does the AC frequency affect the hysteresis...Ch. 16.13 - How can eddy currents be reduced in metallic...Ch. 16.13 - Why does the addition of 3% to 4% silicon to iron...Ch. 16.13 - What disadvantages are there to the addition of...Ch. 16.13 - Why does a laminated structure increase the...Ch. 16.13 - Prob. 86AAPCh. 16.13 - Prob. 87AAPCh. 16.13 - Prob. 88AAPCh. 16.13 - Prob. 89AAPCh. 16.13 - Prob. 90AAPCh. 16.13 - Prob. 91AAPCh. 16.13 - Prob. 92AAPCh. 16.13 - Prob. 93AAPCh. 16.13 - Prob. 94AAPCh. 16.13 - Prob. 95AAPCh. 16.13 - Prob. 96AAPCh. 16.13 - Prob. 97AAPCh. 16.13 - Prob. 98AAPCh. 16.13 - Prob. 99AAPCh. 16.13 - Prob. 100AAPCh. 16.13 - Prob. 101AAPCh. 16.13 - Prob. 102AAPCh. 16.13 - Prob. 103SEPCh. 16.13 - Prob. 104SEPCh. 16.13 - Prob. 105SEPCh. 16.13 - Prob. 106SEP
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