Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Chapter 3, Problem 53P
To determine
State whether the combined turbine-generator efficiency can be greater than either the generator or turbine efficiency.
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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 3 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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Ch. 3 - Electric power is to be generated by installing a...Ch. 3 - Prob. 12PCh. 3 - Prob. 13PCh. 3 - Prob. 14PCh. 3 - A river flowing steadily at a rate of 175 m3/s is...Ch. 3 - Consider a river flowing toward a lake at an...Ch. 3 - Prob. 17PCh. 3 - Prob. 18PCh. 3 - A gas in a piston-cylinder device is compressed,...Ch. 3 - A room is heated by an iron that is left plugged...Ch. 3 - A room is heated as a result of solar radiation...Ch. 3 - An insulated room is heated by burning candles. Is...Ch. 3 - Prob. 23PCh. 3 - A model aircraft internal-combustion engine...Ch. 3 - Lifting a weight to a height of 20 m takes 20 s...Ch. 3 - A construction crane lifts a prestressed concrete...Ch. 3 - A man weighing 180 lbf is pushing a cart that...Ch. 3 - Prob. 28PCh. 3 - Determine the energy required to accelerate a...Ch. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Determine the work required to deflect a linear...Ch. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - What are the different mechanisms for transferring...Ch. 3 - Prob. 37PCh. 3 - Water is being heated in a closed pan on top of a...Ch. 3 - A vertical piston-cylinder device contains water...Ch. 3 - Prob. 40PCh. 3 - A water pump increases the water pressure from 15...Ch. 3 - Prob. 42PCh. 3 - A classroom that normally contains 40 people is to...Ch. 3 - Prob. 44PCh. 3 - Consider a room that is initially at the outdoor...Ch. 3 - Prob. 46PCh. 3 - The 60-W fan of a central heating system is to...Ch. 3 - The driving force for fluid flow is the pressure...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - How is the combined pump–motor efficiency of a...Ch. 3 - Define turbine efficiency, generator efficiency,...Ch. 3 - Prob. 53PCh. 3 - Consider a 24-kW hooded electric open burner in an...Ch. 3 - Prob. 55PCh. 3 - Prob. 56PCh. 3 - The steam requirements of a manufacturing facility...Ch. 3 - Prob. 59PCh. 3 - Prob. 60PCh. 3 - Prob. 61PCh. 3 - The water in a large lake is to be used to...Ch. 3 - Prob. 63PCh. 3 - Prob. 64PCh. 3 - Reconsider Prob. 3–64. Using an appropriate...Ch. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - Prob. 68PCh. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73RQCh. 3 - Prob. 74RQCh. 3 - Prob. 75RQCh. 3 - Prob. 76RQCh. 3 - Prob. 77RQCh. 3 - Prob. 78RQCh. 3 - Prob. 79RQCh. 3 - A man weighing 180 lbf pushes a block weighing 100...Ch. 3 - Prob. 81RQCh. 3 - Prob. 82RQCh. 3 - Prob. 83RQCh. 3 - Windmills slow the air and cause it to fill a...Ch. 3 - In a hydroelectric power plant, 65 m3/s of water...Ch. 3 - Prob. 86RQCh. 3 - The pump of a water distribution system is powered...
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