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 16, Problem 51P
(a)
To determine
The rate of heat loss from the person by radiation in a large room having walls at a temperature of
(b)
To determine
The rate of heat loss from the person by radiation in a large room having walls at a temperature of
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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 16 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
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Ch. 16 - Does any of the energy of the sun reach the earth...Ch. 16 - How does forced convection differ from natural...Ch. 16 - What is the physical mechanism of heat conduction...Ch. 16 - Consider heat transfer through a windowless wall...Ch. 16 - Consider heat loss through the two walls of a...Ch. 16 - Consider two houses that are identical, except...Ch. 16 - Consider two walls of a house that are identical...Ch. 16 - Define emissivity and absorptivity. What is...Ch. 16 - What is a blackbody? How do real bodies differ...Ch. 16 - A wood slab with a thickness of 0.05 m is...Ch. 16 - The inner and outer surfaces of a 4-m × 7-m brick...Ch. 16 - The inner and outer surfaces of a 0.5-cm thick 2-m...Ch. 16 - An aluminum pan whose thermal conductivity is 237...Ch. 16 - The north wall of an electrically heated home is...Ch. 16 - In a certain experiment, cylindrical samples of...Ch. 16 - One way of measuring the thermal conductivity of a...Ch. 16 - A concrete wall with a surface area of 20 m2 and a...Ch. 16 - A hollow spherical iron container with outer...Ch. 16 - The inner and outer glasses of a 4-ft × 4-ft...Ch. 16 - An engineer who is working on the heat transfer...Ch. 16 - Air at 20°C with a convection heat transfer...Ch. 16 - Four power transistors, each dissipating 12 W, are...Ch. 16 - In a power plant, pipes transporting superheated...Ch. 16 - An electric current of 5 A passing through a...Ch. 16 - Hot air at 80°C is blown over a 2-m × 4-m flat...Ch. 16 - A 5-cm-external-diameter, 10-m-long hot-water pipe...Ch. 16 - A transistor with a height of 0.4 cm and a...Ch. 16 - A 300-ft-long section of a steam pipe whose outer...Ch. 16 - The boiling temperature of nitrogen at atmospheric...Ch. 16 - Repeat Prob. 16–43 for liquid oxygen, which has a...Ch. 16 - A series of experiments were conducted by passing...Ch. 16 - A 2.1-m-long, 0.2-cm-diameter electrical wire...Ch. 16 - Using the conversion factors between W and Btu/h,...Ch. 16 - The outer surface of a spacecraft in space has an...Ch. 16 - Consider a person whose exposed surface area is...Ch. 16 - Consider a sealed 20-cm-high electronic box whose...Ch. 16 - Two surfaces, one highly polished and the other...Ch. 16 - A spherical interplanetary probe, with a diameter...Ch. 16 - An electronic package in the shape of a sphere...Ch. 16 - Can all three modes of heat transfer occur...Ch. 16 - Can a medium involve (a) conduction and...Ch. 16 - The deep human body temperature of a healthy...Ch. 16 - We often turn the fan on in summer to help us...Ch. 16 - Consider a 20 cm thick granite wall with a thermal...Ch. 16 - A solid plate, with a thickness of 15 cm and a...Ch. 16 - Air at 20°C with a convection heat transfer...Ch. 16 - An electronic package with a surface area of 1 m2...Ch. 16 - Consider steady heat transfer between two large...Ch. 16 - Consider a person standing in a room at 18°C....Ch. 16 - The inner and outer surfaces of a 25-cm-thick wall...Ch. 16 - A 2-in-diameter spherical ball whose surface is...Ch. 16 - An 800-W iron is left on the iron board with its...Ch. 16 - A 3-m-internal-diameter spherical tank made of...Ch. 16 - Solar radiation is incident on a 5 m2 solar...Ch. 16 - A flat-plate solar collector is used to heat water...Ch. 16 - The roof of a house consists of a 22-cm-thick...Ch. 16 - Consider a flat-plate solar collector placed...Ch. 16 - An AISI 304 stainless steel sheet is going through...Ch. 16 - Engine valves (cp = 440 J/kg·K and = 7840 kg/m3)...Ch. 16 - A cylindrical resistor element on a circuit board...Ch. 16 - The heat generated in the circuitry on the surface...Ch. 16 - A 0.3-cm-thick, 12-cm-high, and 18-cm-long circuit...Ch. 16 - A 40-cm-long, 800-W electric resistance heating...Ch. 16 - It is well known that wind makes the cold air feel...Ch. 16 - An engine block with a surface area measured to be...Ch. 16 - Consider an electrical wire submerged in liquid...Ch. 16 - A cylindrical fuel rod of 2 cm in diameter is...Ch. 16 - Consider a person standing in a room maintained at...Ch. 16 - Consider a 3-m × 3-m × 3-m cubical furnace whose...Ch. 16 - A soldering iron has a cylindrical tip of 2.5 mm...Ch. 16 - A thin metal plate is insulated on the back and...Ch. 16 - Consider a flat-plate solar collector placed on...Ch. 16 - An electric heater with the total surface area of...
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