Fundamentals of Modern Manufacturing, Binder Ready Version: Materials, Processes, and Systems
6th Edition
ISBN: 9781119128694
Author: Mikell P. Groover
Publisher: WILEY
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Chapter 10, Problem 13P
To determine
The time taken for the solidification of the rectangular casting.
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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 10 Solutions
Fundamentals of Modern Manufacturing, Binder Ready Version: Materials, Processes, and Systems
Ch. 10 - Prob. 1RQCh. 10 - 10.2 What are some of the disadvantages of...Ch. 10 - Prob. 3RQCh. 10 - 10.4 What is the difference between an open mold...Ch. 10 - Prob. 5RQCh. 10 - Prob. 6RQCh. 10 - Prob. 7RQCh. 10 - Prob. 8RQCh. 10 - Prob. 9RQCh. 10 - 10.10 Why should turbulent flow of molten metal...
Ch. 10 - Prob. 11RQCh. 10 - 10.12 What is the continuity law as it applies to...Ch. 10 - 10.13 What are some of the factors that affect the...Ch. 10 - 10.14 What does heat of fusion mean in casting?
Ch. 10 - 10.15 How does solidification of alloys differ...Ch. 10 - Prob. 16RQCh. 10 - Prob. 17RQCh. 10 - Prob. 18RQCh. 10 - 10.19 Identify the three sources of contraction in...Ch. 10 - 10.1 (SI units) A casting made of cast iron weighs...Ch. 10 - 10.2 (A) (SI units) A disk with diameter = 40 cm...Ch. 10 - 10.3 (USCS units) Pure copper is heated to cast a...Ch. 10 - 10.4 (A) (SI units) The length of the downsprue...Ch. 10 - 10.5 (USCS units) A mold has a downsprue length =...Ch. 10 - 10.6 (SI units) The flow rate of liquid metal into...Ch. 10 - 10.7 (SI units) Molten metal is poured into the...Ch. 10 - 10.8 (A) (USCS units) The volume flow rate of...Ch. 10 - 10.9 (A) (SI units) Determine the shrink rule to...Ch. 10 - 10.10 (USCS units) Determine the shrink rule to be...Ch. 10 - 10.11 (SI units) A flat plate is to be cast in an...Ch. 10 - 10.12 (SI units) When casting low carbon steel...Ch. 10 - 10.13 (SI units) In the previous problem, solve...Ch. 10 - 10.14 (A) (SI units) A disk-shaped part is cast...Ch. 10 - 10.15 (SI units) In casting experiments performed...Ch. 10 - 10.16 (SI units) Total solidification times of...Ch. 10 - 10.17 (USCS units) A steel casting has a...Ch. 10 - 10.18 A cylindrical riser is to be used for a...Ch. 10 - 10.19 (A) (SI units) A riser in the shape of a...Ch. 10 - 10.20 (USCS units) A cylindrical riser with a...
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