7th Edition

ISBN: 9780470501979

Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine

Publisher: Wiley, John & Sons, Incorporated

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It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

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Textbook Question

Chapter 8, Problem 8.67P

Repeat Problem 8.66 for a circular tube of diameter D = 2 mm . an applied heat flux of q n = 200 , 000 W/m 2 . and a mass flow rate of m = 1 0 g / s .

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Chapter 8, Problem 8.66P

Chapter 8, Problem 8.68P

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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 8 Solutions

Fundamentals of Heat and Mass Transfer

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