Solutions for Fundamentals of Heat and Mass Transfer
Problem 5.1P:
Consider a thin electrical heater attached to a plate and backed by insulation. Initially, the...Problem 5.2P:
The inner surface of a plane wall is insulated while the outer surface is exposed to an airstream at...Problem 5.3P:
A microwave oven operates on the principle that application of a high-frequency field causes...Problem 5.4P:
A plate of thickness 2L, surface area As, mass M, and specific heat cp, initially at a uniform...Problem 5.5P:
For each of the following cases, determine an appropriate characteristic length Lc and the...Problem 5.6P:
Steel balls 12 mm in diameter are annealed by heating to 1150K and then slowly cooling to 400 K in...Problem 5.7P:
Consider the steel balls of Problem 5.6, except now the air temperature increases with time as...Problem 5.8P:
The heat transfer coefficient for air flowing over a sphere is to be determined by observing the...Problem 5.9P:
A solid steel sphere (AISI 1010), 300 mm in diameter, is coated with a dielectric material layer of...Problem 5.10P:
A flaked cereal is of thickness 2L=1.2mm. The density, specific heat, and thermal conductivity of...Problem 5.11P:
The base plate of an iron has a thickness of L=7mm and is made from an aluminum alloy...Problem 5.12P:
Thermal energy storage systems commonly involve a packed bed of solid spheres, through which a hot...Problem 5.13P:
A tool used for fabricating semiconductor devices consists of a chuck (thick metallic, cylindrical...Problem 5.14P:
A copper sheet of thickness 2L=2mm has an initial temperature of Ti=118C. It is suddenly quenched in...Problem 5.15P:
Carbon steel (AISI 1010) shafts of 0.1-m diameter are heat treated in a gas-fired furnace whose...Problem 5.16P:
A thermal energy storage unit consists of a large rectangular channel. which is well insulated on...Problem 5.17P:
Small spherical particles of diameter D=50m contain a fluorescent material that. when irradiated...Problem 5.18P:
A spherical vessel used as a reactor for producing pharmaceuticals has a 5-mm-thick stainless steel...Problem 5.19P:
Batch processes are often used in chemical and pharmaceutical operations to achieve a desired...Problem 5.20P:
An electronic device. such as a power transistor mounted on a finned heat sink. can be modeled as a...Problem 5.21P:
Molecular electronics is an emerging field associated with computing and data storage utilizing...Problem 5.22P:
A plane wall of a furnace is fabricated from plain carbon steel (k=60W/mK,=7850kg/m3,c=430J/kgK) and...Problem 5.23P:
A steel strip of thickness =12mm is annealed by passing it through a large furnace whose walls are...Problem 5.24P:
In a material processing experiment conducted aboard the space shuttle. a coated niobium sphere of...Problem 5.25P:
Plasma spray-coating processes are often used to provide surface protection for materials exposed to...Problem 5.26P:
The plasma spray-coating process of Problem 5.25 can be used to produce nanostructured ceramic...Problem 5.27P:
A chip that is of length L=5mm on a side and thickness t=1mm is encased in a ceramic substrate, and...Problem 5.28P:
Consider the conditions of Problem 5.27. In addition to treating heat transfer by convection...Problem 5.29P:
A long wire of diameter D=1mm is submerged in an oil bath of temperature T=25C. The wire has an...Problem 5.30P:
Consider the system of Problem 5.1 where the temperature of the plate is spacewise isothermal during...Problem 5.31P:
Shape memory alloys (SMAs) are metals that undergo a change in crystalline structure within a...Problem 5.32P:
Before being injected into a furnace, pulverized coal is preheated by passing it through a...Problem 5.33P:
As noted in Problem 5.3, microwave ovens operate by rapidly aligning and reversing water molecules...Problem 5.34P:
A metal sphere of diameter D, which is at a uniform temperature Ti, is suddenly removed from a...Problem 5.35P:
A horizontal structure consists of an LA=10 mm-thick layer of copper and an LB=10 -mm-thick layer of...Problem 5.36P:
As permanent space stations increase in size. there is an attendant increase in the amount of...Problem 5.37P:
Thin film coatings characterized by high resistance to abrasion and fracture may be formed by using...Problem 5.38P:
A long. highly polished aluminum rod of diameter D=35mm is hung horizontally in a large room. The...Problem 5.39P:
Thermal stress testing is a common procedure used to assess the reliability of an electronic...Problem 5.40P:
The objective of this problem is to develop thermal models for estimating the steady-state...Problem 5.41P:
In thermomechanical data storage, a processing head, consisting of M heated cantilevers. is used to...Problem 5.42P:
The melting of water initially at the fusion temperature, Tf=0C, was considered in Example...Problem 5.43P:
Consider the series solution, Equation 5.42, for the plane wall with convection. Calculate midplane...Problem 5.44P:
Consider the one-dimensional wall shown in the sketch, which is initially at a uniform temperature...Problem 5.45P:
Copper-coated, epoxy-tilled fiberglass circuit boards are treated by heating a stack of them under...Problem 5.46P:
Circuit boards are treated by heating a stack of them under high pressure, as illustrated in Problem...Problem 5.47P:
A constant-property, one-dimensional plane slab of width 2L initially at a uniform temperature. is...Problem 5.48P:
Referring to the semiconductor processing tool of Problem 5.13. it is desired at some point in the...Problem 5.49P:
Annealing is a process by which steel is reheated and then cooled to make it less brittle. Consider...Problem 5.50P:
Consider an acrylic sheet of thickness L=5mm that is used to coat a hot. isothermal metal substrate...Problem 5.52P:
Steel is sequentially heated and cooled (annealed) to relieve stresses and to make it less brittle....Problem 5.53P:
Stone mix concrete slabs are used to absorb thermal energy from flowing air that is carried from a...Problem 5.55P:
During transient operation, the steel nozzle of a rocket engine must not exceed a maximum allowable...Problem 5.56P:
Two plates of the same material and thickness L are at different initial temperatures Ti,1 and Ti,2...Problem 5.57P:
In a tempering process, glass plate, which is initially at a uniform temperature Ti is cooled by...Problem 5.58P:
The strength and stability of tires may be enhanced by heating both sides of the rubber...Problem 5.59P:
A plastic coating is applied to wood panels by first depositing molten polymer on a panel and then...Problem 5.60P:
A long rod of 60-mm diameter and thermophysical properties =8000kg/m3,c=500J/kgK, and k=50W/mK is...Problem 5.61P:
A long cylinder of 30-mm diameter, initially at a uniform temperature of 1000 K, is suddenly...Problem 5.64P:
A long rod 40 mm in diameter, fabricated from sapphire (aluminum oxide) and initially at a uniform...Problem 5.65P:
A cylindrical stone mix concrete beam of diameter D=0.5m initially at Ti=20C is exposed to hot gases...Problem 5.66P:
A long plastic rod of 30-mm diameter (k=0.3W/mKandcp=1040kJ/m3K) is uniformly heated in an oven as...Problem 5.67P:
As part of a heat treatment process, cylindrical, 304 stainless steel rods of 100-mm diameter are...Problem 5.68P:
In a manufacturing process, long rods of different diameters are at a uniform temperature 400C of in...Problem 5.69P:
The density and specific heat of a particular material are known (=1200kg/m3,cp=1250J/kgK), but its...Problem 5.71P:
In heat treating to harden steel ball bearings (c=500J/kgK,=7800kg/m3,k=50W/mK), it is desirable to...Problem 5.72P:
A cold air chamber is proposed for quenching steel ball bearings of diameter D=0.2m and initial...Problem 5.74P:
Stainless steel (AISI 304) ball bearings. which have uniformly been heatedto 850C, are hardened by...Problem 5.75P:
A sphere 30 mm in diameter initially at 800K is quenched in a large bath having a constant...Problem 5.77P:
Spheres A and B are initially at 800K. and they are simultaneously quenched in large constant...Problem 5.78P:
Spheres of 40-mm diameter heated to a uniform temperature of 400C are suddenly removed from the oven...Problem 5.79P:
To determine which parts of a spider's brain are triggered into neural activity in response to...Problem 5.83P:
Two large blocks of different materials. such as copper and concrete, have been sitting in a room...Problem 5.84P:
A plane wall of thickness 0.6 m (L=0.3m) is made of steel (k=30W/mK,=7900kg/m3,c=640J/kgK). It is...Problem 5.85P:
Asphalt pavement may achieve temperatures as high as 50°C on a hot summer day. Assume that such a...Problem 5.86P:
A thick steel slab (=7800kg/m3,c=480J/kgK,k=50W/mK) is initially at 300C and is cooled by water jets...Problem 5.87P:
A tile-iron consists of a massive plate maintained at 150C by an embedded electrical heater. The...Problem 5.88P:
A simple procedure for measuring surface convection heat transfer coefficients involves coating the...Problem 5.89P:
An insurance company has hired you as a consultant to improve their understanding of burn injuries....Problem 5.90P:
A procedure for determining the thermal conductivity of a solid material involves embedding a...Problem 5.91P:
A very thick slab with thermal diffusivity 5.6106m2/s and thermal conductivity 20W/mK is initially...Problem 5.93P:
Standards for firewalls may be based on their thermal response to a prescribed radiant heat flux....Problem 5.94P:
It is well known that, although two materials are at the same temperature, one may feel cooler to...Problem 5.95P:
Two stainless steel plates (=8000Kg/m3,c=500J/kgK,k=15W/mK), each 20mm thick and insulated on one...Problem 5.96P:
Special coatings are often formed by depositing thin layers of a molten material on a solid...Problem 5.97P:
When a molten metal is cast in a mold that is a poor conductor, the dominant resistance to heat flow...Problem 5.98P:
Joints of high quality can be formed by friction welding. Consider the friction welding of two...Problem 5.99P:
A rewritable optical disc (DVD) is formed by sandwiching a 15-nm-thick binary compound storage...Problem 5.100P:
Ground source heat pumps operate by using the soil, rather than ambient air, as the heat source (or...Problem 5.101P:
To enable cooking a wider range of foods in microwave ovens, thin, metallic packaging materials have...Problem 5.102P:
Derive an expression for the ratio of the total energy transferred from the isothermal surface of an...Problem 5.103P:
The structural components of modem aircraft are commonly fabricated of high-performance composite...Problem 5.104P:
Consider the plane wall of thickness 2L, the infinite cylinder of radius ro, and the sphere of...Problem 5.105P:
Problem 4.9 addressed radioactive wastes stored under-ground in a spherical container. Because of...Problem 5.106P:
Derive an expression for the ratio of the total energy transferred from the isothermal surface of a...Problem 5.109P:
A thin rod of diameter D is initially in equilibrium with its surroundings, a large vacuum enclosure...Problem 5.110P:
A one-dimensional slab of thickness 2L is initially at a uniform temperature Ti. Suddenly, electric...Problem 5.117P:
A molded plastic product (=1200kg/m3,c=1500J/kgK,k=0.30W/mK) is cooled by exposing one surface to an...Problem 5.137P:
A thin circular disk is subjected to induction heating from a coil, the effect of which is to...Problem 5.139P:
Two very long (in the direction normal to the page) bars having the prescribed initial temperature...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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