Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 10, Problem 20QLP
Explain the effects of mold materials on fluid flow and heat transfer in casting operations.
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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
Manufacturing Engineering & Technology
Ch. 10 - Explain why casting is an important manufacturing...Ch. 10 - Why do most metals shrink when they are cast?Ch. 10 - What are the differences between the...Ch. 10 - What are dendrites? Why are they called so?Ch. 10 - Describe the difference between short and long...Ch. 10 - What is superheat? Is it important? What are the...Ch. 10 - Define shrinkage and porosity. How can you tell...Ch. 10 - What is the function of chills? What are they made...Ch. 10 - Why is the Reynolds number important in casting?Ch. 10 - What is a sprue? What shape should a sprue have if...
Ch. 10 - How is fluidity defined? Why is it important?Ch. 10 - Explain the reasons for hot tearing in castings.Ch. 10 - Why is it important to remove dross or slag during...Ch. 10 - Why is Bernoullis equation important in casting?Ch. 10 - Describe thixocasting and rheocasting.Ch. 10 - What is Chvorinovs Rule?Ch. 10 - How is a blister related to a scab?Ch. 10 - Is there porosity in a chocolate bar? In an ice...Ch. 10 - Describe the stages involved in the contraction of...Ch. 10 - Explain the effects of mold materials on fluid...Ch. 10 - It is known that pouring metal at a high rate into...Ch. 10 - Describe the events depicted in Fig. 10.5.Ch. 10 - Would you be concerned about the fact that...Ch. 10 - Review Fig. 10.8 and make a summary, explaining...Ch. 10 - Make a sketch of volume vs. temperature for a...Ch. 10 - What practical demonstrations can you suggest to...Ch. 10 - Explain why a casting may have to be subjected to...Ch. 10 - List and explain the reasons why porosity can...Ch. 10 - Why does porosity have detrimental effects on the...Ch. 10 - A spoked handwheel is to be cast in gray iron. In...Ch. 10 - Which of the following considerations are...Ch. 10 - Explain why the constant C in Eq. (10.7) depends...Ch. 10 - Are external chills as effective as internal...Ch. 10 - Explain why, as shown in Table 10.1, gray cast...Ch. 10 - Referring to Fig. 10.11, explain why internal...Ch. 10 - Note the shape of the two risers shown in Fig....Ch. 10 - Is there any difference in the tendency for...Ch. 10 - What is the influence of the cross-sectional area...Ch. 10 - It has long been observed that (a) low pouring...Ch. 10 - In casting metal alloys, what would you expect to...Ch. 10 - If you inspect a typical cube of ice, you are...Ch. 10 - How can you tell whether cavities in a casting are...Ch. 10 - Describe the drawbacks to having a riser that is...Ch. 10 - Reproduce Fig. 10.2 for a casting that is...Ch. 10 - List the process variables that affect the...Ch. 10 - Assume that you have a method of measuring...Ch. 10 - A round casting is 0.2 m (7.9 in.) in diameter and...Ch. 10 - A cylinder with a diameter of 2.0 in. and a height...Ch. 10 - The constant C in Chvorinovs rule is given as 2.5...Ch. 10 - Pure copper is poured into a sand mold. The metal...Ch. 10 - For the sprue described in Problem 10.58, what...Ch. 10 - When designing patterns for casting, pattern...Ch. 10 - Can you devise fluidity tests other than that...Ch. 10 - Figure P10.55 indicates various defects and...Ch. 10 - The fluidity test shown in Fig. 10.9 illustrates...Ch. 10 - Utilizing the equipment and materials available in...Ch. 10 - One method of relieving stress concentrations in a...Ch. 10 - Describe the effects on mold design, including the...Ch. 10 - Small amounts of slag often persist after skimming...Ch. 10 - Design an experiment to measure the constants C...
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