Solutions for Fundamentals of Heat and Mass Transfer
Problem 3.1P:
Consider the plane wall of Figure 3.1, separating hot and cold fluids at temperatures T,1 and T,2,...Problem 3.2P:
A new building to be located in a cold climate is being designed with a basement that has an...Problem 3.3P:
The rear window of an automobile is defogged by passing warm air over its inner surface. If the warm...Problem 3.4P:
The rear window of an automobile is defogged by attaching a thin, transparent, film-type heating...Problem 3.5P:
A dormitory at a large university, built 50 years ago, has exterior walls constructed of...Problem 3.6P:
In a manufacturing process, a transparent film is being bonded to a substrate as shown in the...Problem 3.7P:
The walls of a refrigerator are typically constructed by sandwiching a layer of insulation between...Problem 3.8P:
A t=10-mm -thick horizontal layer of water has a top surface temperature of Tc=4C and a bottom...Problem 3.9P:
A technique for measuring convection heat transfer coefficients involves bonding one surface of a...Problem 3.10P:
The wind chill, which is experienced on a cold, windy day, is related to increased heat transfer...Problem 3.11P:
Determine the thermal conductivity of the carbon nanotube of Example 3.4 when the heating island...Problem 3.12P:
A thermopane window consists of two pieces of glass 7 mm thick that enclose an air space 7 mm thick....Problem 3.13P:
A house has a composite wall of wood, fiberglass insulation. and plaster board. as indicated in the...Problem 3.14P:
Consider the composite wall of Problem 3.13 under conditions for which the inside air is still...Problem 3.15P:
Consider a composite wall that includes an 8-mm-thick hardwood siding, 40-rnm by 130-mm hardwood...Problem 3.17P:
Consider the oven of Problem 1.54. The walls of the oven consist of L=30-mm -thick layers of...Problem 3.18P:
The composite wall of an oven consists of three materials, two of which are of known thermal...Problem 3.19P:
The wall of a drying oven is constructed by sandwiching an insulation material of thermal...Problem 3.20P:
The t=4-mm-thick glass windows of an automobile have a surface area of A=2.6m2. The outside...Problem 3.21P:
The thermal characteristics of a small, dormitory refrigerator are determined by performing two...Problem 3.22P:
In the design of buildings, energy conservation requirements dictate that the exterior surface area,...Problem 3.23P:
When raised to very high temperatures. many conventional liquid fuels dissociate into hydrogen and...Problem 3.24P:
A firefighter's protective clothing, referred to as a turnout coat. is typically constructed as an...Problem 3.25P:
A particular thermal system involves three objects of fixed shape with conduction resistances of...Problem 3.26P:
A composite wall separates combustion gases at 2600C from a liquid coolant at 100C, with gas-and...Problem 3.27P:
Approximately 106 discrete electrical components can be placed on a single integrated circuit...Problem 3.28P:
Two stainless steel plates 10 mm thick are subjected to a contact pressure of I bar under vacuum...Problem 3.29P:
Consider a plane composite wall that is composed of two materials of thermal conductivities...Problem 3.30P:
The performance of gas turbine engines may be improved by increasing the tolerance of the turbine...Problem 3.31P:
A commercial grade cubical freezer, 3 m on a side, has a composite wall consisting of an exterior...Problem 3.32P:
Physicists have determined the theoretical value of the thermal conductivity of a carbon nanotube to...Problem 3.33P:
Consider a power transistor encapsulated in an aluminum case that is attached at its base to a...Problem 3.34P:
Ring-porous woods, such as oak, are characterized by grains. dark grains consist of very low-density...Problem 3.35P:
A batt of glass fiber insulation is of density =28kg/m3. Determine the maximum and minimum possible...Problem 3.36P:
Air usually constitutes up to half of the volume of commercial ice creams and takes the form of...Problem 3.37P:
Determine the density, specific heat, and thermal conductivity of a lightweight aggregate concrete...Problem 3.38P:
A one-dimensional plane wall of thickness L is constructed of a solid material with a linear,...Problem 3.39P:
The diagram shows a conical section fabricated from pure aluminum. It is of circular cross section...Problem 3.40P:
A truncated solid cone is of circular cross section, and its diameter is related to the axial...Problem 3.41P:
From Figure 2.5 it is evident that, over a wide temperature range, the temperature dependence of the...Problem 3.42P:
Consider a tube wall of inner and outer radii ri and ro, whose temperatures are maintained at Ti and...Problem 3.43P:
Measurements show that steady-state conduction through a plane wall without heat generation produced...Problem 3.44P:
A device used to measure the surface temperature of an object to within a spatial resolution of...Problem 3.45P:
A steam pipe of 0.12-m outside diameter is insulated with a layer of calcium silicate. If the...Problem 3.46P:
Consider the water heater described in Problem 1.48. We now wish to determine the energy needed to...Problem 3.47P:
To maximize production and minimize pumping costs. crude oil is heated to reduce its viscosity...Problem 3.48P:
A thin electrical heater is wrapped around the outer surface of a long cylindrical tube whose inner...Problem 3.50P:
A stainless steel (AISI 304) tube used to transport a chilled pharmaceutical has an inner diameter...Problem 3.52P:
A thin electrical heater is inserted between a long circular rod and a concentric tube with inner...Problem 3.54P:
A 2-mm-diameter electrical wire is insulated by a 2-mm-thick rubberized sheath (k=0.13W/mK), and the...Problem 3.55P:
Electric current flows through a long rod generating thermal energy at a uniform volumetric rate of...Problem 3.57P:
A composite cylindrical wall is composed of two materials of thermal conductivity kA and kB, which...Problem 3.58P:
An electrical current of 700 A flows through a stainless steel cable having a diameter of 5 mm and...Problem 3.59P:
A 0.20-m-diameter. thin-walled steel pipe is used to transport saturated steam at a pressure of 20...Problem 3.60P:
An uninsulated. thin-walled pipe of 100-mm diameter is used to transport water to equipment that...Problem 3.61P:
Steam flowing through a long. thin-walled pipe maintains the pipe wall at a uniform temperature of...Problem 3.63P:
A storage tank consists of a cylindrical section that has a length and inner diameter of L=2m and...Problem 3.64P:
Consider the liquid oxygen storage system and the laboratory environmental conditions of Problem...Problem 3.65P:
A spherical Pyrex glass shell has inside and outside diameters of D1=0.1m and D2=0.2m, respectively....Problem 3.66P:
In Example 3.6. an expression was derived for the critical insulation radius of an insulated,...Problem 3.67P:
A hollow aluminum sphere. with an electrical heater in the center. is used in tests to determine the...Problem 3.68P:
A spherical tank for storing liquid oxygen on the space shuttle is to be made from stainless steel...Problem 3.69P:
A spherical, cryosurgical probe may be imbedded in diseased tissue for the purpose of freezing, and...Problem 3.72P:
A composite spherical shell of inner radius r1=0.25m is constructed from lead of outer radius...Problem 3.73P:
The energy transferred from the anterior chamber of the eye through the cornea varies considerably...Problem 3.74P:
The outer surface of a hollow sphere of radius r2 is subjected to a uniform heat flux q2n. The inner...Problem 3.75P:
A spherical shell of inner and outer radii r1 and ro, respectively, is filled with a heat-generating...Problem 3.79P:
The air inside a chamber at T,i=50C is heated convectively with hi=20W/m2K by a 200-mm-thick wall...Problem 3.81P:
A plane wall of thickness 0.1 m and thermal conductivity 25W/mK having uniform volumetric heat...Problem 3.82P:
Large, cylindrical bales of hay used to feed livestock in the winter months are D=2m in diameter and...Problem 3.84P:
Consider one-dimensional conduction in a plane composite wall. The outer surfaces are exposed to a...Problem 3.85P:
Consider a plane composite wall that is composed of three materials (materials A, B, and C are...Problem 3.86P:
An air heater may be fabricated by coiling Nichrome wire and passing air in cross flow over the...Problem 3.88P:
Consider uniform thermal energy generation inside a one-dimensional plane wall of thickness L with...Problem 3.89P:
A plane wall of thickness and thermal conductivity k experiences a uniform volumetric generation...Problem 3.90P:
A nuclear fuel element of thickness 21, is covered with a steel cladding of thickness b. Heat...Problem 3.92P:
In Problem 3.79 the strip heater acts to guard against heat losses from the wall to the outside, and...Problem 3.93P:
The exposed surface (x=0) of a plane wall of thermal conductivity k is subjected to microwave...Problem 3.94P:
A quartz window of thickness L serves as a viewing port in a furnace used for annealing steel. The...Problem 3.95P:
For the conditions described in Problem 1.44. determine the temperature distribution, T(r), in the...Problem 3.96P:
A cylindrical shell of inner and outer radii, ri and ro, respectively, is filled with a...Problem 3.97P:
The cross section of a long cylindrical fuel element in a nuclear reactor is shown. Energy...Problem 3.101P:
A long cylindrical rod of diameter 200 mm with thermal conductivity of 0.5W/mK experiences uniform...Problem 3.102P:
A radioactive material of thermal conductivity k is cast as a solid sphere of radius ro and placed...Problem 3.103P:
Radioactive wastes are packed in a thin-walled spherical container. The wastes generate thermal...Problem 3.104P:
Radioactive wastes (ktw=20W/mK) are stored in a spherical, stainless steel (kss=15W/mK) container of...Problem 3.105P:
Unique characteristics of biologically active materials such as fruits, vegetables, and other...Problem 3.106P:
Consider the plane wall, long cylinder, and sphere shown schematically, each with the same...Problem 3.109P:
One method that is used to grow nanowires (nanotubes with solid cores) is to initially deposit a...Problem 3.110P:
Consider the manufacture of photovoltaic silicon, as described in Problem 1.42. The thin sheet of...Problem 3.111P:
Copper tubing is joined to a solar collector plate of thickness t, and the working fluid maintains...Problem 3.112P:
A thin flat plate of length L thickness t. and width WL is thermally joined to two large heat sinks...Problem 3.114P:
The temperature of a flowing gas is to be measured with a thermocouple junction and wire stretched...Problem 3.116P:
A thin metallic wire of thermal conductivity k, diameter D, and length 2L is annealed by passing an...Problem 3.117P:
A motor draws electric power Pelec from a supply line and delivers mechanical power Pmech to a pump...Problem 3.118P:
Consider the fuel cell stack of Problem 158. The t=0.42 -mm-thick membranes have a nominal thermal...Problem 3.119P:
Consider a rod of diameter D, thermal conductivity k, and length 2L that is perfectly insulated over...Problem 3.120P:
A carbon nanotube is suspended across a trench of width s=5m that separates two islands, each at...Problem 3.121P:
A probe of overall length L=200mm and diameter D=12.5mm is inserted through a duct wall such that a...Problem 3.123P:
A metal rod of length 2L diameter D, and thermal conductivity k is inserted into a perfectly...Problem 3.124P:
A very long rod of 5-mm diameter and uniform thermal conductivity k=25W/mK is subjected to a heat...Problem 3.125P:
From Problem 1.71, consider the wire leads connecting the transistor to the circuit board. The leads...Problem 3.126P:
Turbine blades mounted to a rotating disc in a turbine engine are exposed to a gas stream that is at...Problem 3.130P:
A brass rod 100 mm long and 5 mm in diameter extends horizontally from a casting at 200C. The rod is...Problem 3.131P:
The extent to which the tip condition affects the thermal performance of a tin depends on the fin...Problem 3.132P:
A pin fin of uniform. cross-sectional area is fabricated of an aluminum alloy (k=160W/mK). The fin...Problem 3.133P:
The extent to which the tip condition affects the thermal performance of a tin depends on the fin...Problem 3.134P:
A straight tin fabricated from 2024 aluminum alloy (k=185W/mK) has a base thickness of t=3mm and a...Problem 3.135P:
Triangular and parabolic straight tins are subjected to the same thermal conditions as the...Problem 3.136P:
Two long copper rods of diameter D=10mm are soldered together end to end. with solder having a...Problem 3.137P:
Circular copper rods of diameter D=1mm and length L=25mm are used to enhance heat transfer from a...Problem 3.138P:
During the initial stages of the growth of the nanowire of Problem 3.109, a slight perturbation of...Problem 3.139P:
Consider two long, slender rods of the same diameter but different materials. One end of each rod is...Problem 3.140P:
A 40-mm-long, 2-mm-diameter pin fin is fabricated of an aluminum alloy (k=140W/mK). Determine the...Problem 3.141P:
An experimental arrangement for measuring the thermal conductivity of solid materials involves the...Problem 3.142P:
Finned passages are frequently formed between parallel plates to enhance convection heat transfer in...Problem 3.143P:
The fin array of Problem 3.142 is commonly found in compact heat exchangers. Whose function is to...Problem 3.144P:
An isothermal silicon chip of width W=20mm on a side is soldered to an aluminum heat sink...Problem 3.145P:
As seen in Problem 3.109, silicon carbide nanowires of diameter D=15nm can be grown onto a solid...Problem 3.147P:
A homeowner's wood stove is equipped with a top burner for cooking. The D=200-mm -diameter burner is...Problem 3.149P:
Water is heated by submerging 50-mm-diameter, thin-walled copper tubes in a tank and passing hot...Problem 3.150P:
As a means of enhancing heat transfer from high-performance logic chips, it is common to attach a...Problem 3.152P:
Consider design B of Problem 3.151. Over time. dust can collect in the fine grooves that separate...Problem 3.155P:
Determine the percentage increase in heat transfer associated with attaching aluminum fins of...Problem 3.157P:
Aluminum fins of triangular profile are attached to a plane wall whose surface temperature is 250C....Problem 3.158P:
An annular aluminum fin of rectangular profile is attached to a circular tube having an outside...Problem 3.159P:
Annular aluminum fins of rectangular profile are attached to a circular tube having an outside...Browse All Chapters of This Textbook
Chapter 1 - IntroductionChapter 2 - Introduction To ConductionChapter 3 - One-dimensional, Steady-state ConductionChapter 4 - Two-dimensional, Steady-state ConductionChapter 5 - Transient ConductionChapter 6 - Introduction To ConvectionChapter 7 - External FlowChapter 8 - Internal FlowChapter 9 - Free ConvectionChapter 10 - Boiling And Condensation
Book Details
Completely updated, the seventh edition provides engineers with an in-depth look at the key concepts in the field. It incorporates new discussions on emerging areas of heat transfer, discussing technologies that are related to nanotechnology, biomedical engineering and alternative energy. The example problems are also updated to better show how to apply the material. And as engineers follow the rigorous and systematic problem-solving methodology, they'll gain an appreciation for the richness and beauty of the discipline.
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