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 21, Problem 105P
To determine
The net rate of radiation heat transfer per unit length between the two cylinders.
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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 21 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 21 - Prob. 1PCh. 21 - By what properties is an electromagnetic wave...Ch. 21 - What is thermal radiation? How does it differ from...Ch. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Prob. 6PCh. 21 - Prob. 7PCh. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - Prob. 10P
Ch. 21 - A radio station is broadcasting radio waves at a...Ch. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - Define the total and spectral blackbody emissive...Ch. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - A small body is placed inside of a spherical...Ch. 21 - Prob. 23PCh. 21 - A thin vertical copper plate is subjected to a...Ch. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - The temperature of the filament of an incandescent...Ch. 21 - The temperature of the filament of an incandescent...Ch. 21 - Prob. 30PCh. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - Prob. 34PCh. 21 - Define the properties emissivity and absorptivity....Ch. 21 - Define the properties reflectivity and...Ch. 21 - Prob. 37PCh. 21 - Prob. 38PCh. 21 - A furnace that has a 40-cm × 40-cm glass window...Ch. 21 - Prob. 40PCh. 21 - The emissivity of a tungsten filament can be...Ch. 21 - Prob. 42PCh. 21 - Prob. 43PCh. 21 - Prob. 44PCh. 21 - Prob. 45PCh. 21 - Prob. 46PCh. 21 - An opaque horizontal plate is well insulated on...Ch. 21 - Prob. 48PCh. 21 - Prob. 49PCh. 21 - Prob. 50PCh. 21 - What does the view factor represent? When is the...Ch. 21 - How can you determine the view factor F12 when the...Ch. 21 - What are the summation rule and the superposition...Ch. 21 - Prob. 54PCh. 21 - Consider two coaxial parallel circular disks of...Ch. 21 - Consider two coaxial parallel circular disks of...Ch. 21 - Prob. 57PCh. 21 - Prob. 58PCh. 21 - Prob. 59PCh. 21 - Prob. 60PCh. 21 - Determine the four view factors associated with an...Ch. 21 - Prob. 62PCh. 21 - Prob. 63PCh. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - Prob. 66PCh. 21 - Determine the view factors F13 and F23 between the...Ch. 21 - Prob. 68PCh. 21 - Prob. 69PCh. 21 - Two infinitely long parallel plates of width w are...Ch. 21 - Prob. 71PCh. 21 - Prob. 72PCh. 21 - Prob. 73PCh. 21 - Why is the radiation analysis of enclosures that...Ch. 21 - Prob. 75PCh. 21 - Prob. 76PCh. 21 - Prob. 77PCh. 21 - What are the two methods used in radiation...Ch. 21 - Prob. 79PCh. 21 - Prob. 80PCh. 21 - Prob. 82PCh. 21 - Two black parallel rectangles with dimensions 3 ft...Ch. 21 - Prob. 84PCh. 21 - Prob. 85PCh. 21 - Prob. 86PCh. 21 - Prob. 87PCh. 21 - Prob. 88PCh. 21 - Consider a hemispherical furnace of diameter D = 5...Ch. 21 - A dryer is shaped like a long semicylindrical duct...Ch. 21 - Prob. 91PCh. 21 - Prob. 92PCh. 21 - Prob. 93PCh. 21 - Prob. 94PCh. 21 - Prob. 95PCh. 21 - Prob. 96PCh. 21 - Prob. 97PCh. 21 - Prob. 99PCh. 21 - Prob. 100PCh. 21 - Prob. 101PCh. 21 - Reconsider Prob. 21–101. Using an appropriate...Ch. 21 - Air is flowing between two infinitely large...Ch. 21 - Prob. 104PCh. 21 - Prob. 105PCh. 21 - Prob. 106PCh. 21 - Prob. 107PCh. 21 - Prob. 108PCh. 21 - Prob. 109PCh. 21 - Prob. 111PCh. 21 - Prob. 112PCh. 21 - Prob. 113PCh. 21 - Prob. 114PCh. 21 - A 1-m-diameter spherical cavity is maintained at a...Ch. 21 - Prob. 117RQCh. 21 - Prob. 118RQCh. 21 - Prob. 119RQCh. 21 - Prob. 120RQCh. 21 - Prob. 121RQCh. 21 - Prob. 122RQCh. 21 - Prob. 123RQCh. 21 - Prob. 124RQCh. 21 - Prob. 125RQCh. 21 - Consider an enclosure consisting of eight...Ch. 21 - Consider a cylindrical enclosure with A1, A2, and...Ch. 21 - Two parallel back disks are positioned coaxially...Ch. 21 - Two parallel concentric disks, 20 cm and 40 cm in...Ch. 21 - A dryer is shaped like a long semicylindrical duct...Ch. 21 - Prob. 131RQCh. 21 - Prob. 132RQCh. 21 - Prob. 133RQCh. 21 - Prob. 134RQCh. 21 - A 2-m-internal-diameter double-walled spherical...Ch. 21 - Prob. 136RQCh. 21 - Prob. 137RQCh. 21 - Prob. 138RQ
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