Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
6th Edition
ISBN: 9780135257272
Author: James D. Halderman
Publisher: PEARSON
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Chapter 23, Problem 4RQ

Describe how the oil flows from the oil pump, through the filter and main engine bearings, to the valve train.

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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
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