Solutions for Fundamentals of Heat and Mass Transfer
Problem 4.1P:
In the method of separation of variables (Section 4.2) for two-dimensional, steady-state conduction,...Problem 4.2P:
A two-dimensional rectangular plate is subjected to prescribed boundary conditions. Using the...Problem 4.3P:
Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of...Problem 4.4P:
A two-dimensional rectangular plate is subjected to the boundary conditions shown. Derive an...Problem 4.5P:
A two-dimensional rectangular plate is subjected to prescribed temperature boundary conditions on...Problem 4.6P:
Using the thermal resistance relations developed in Chapter 3, determine shape factor expressions...Problem 4.7P:
Free convection heat transfer is sometimes quantified by writing Equation 4.20 as qconv=SkeffT12,...Problem 4.8P:
Consider Problem 4.5 for the case where the plate is of square cross section, W=L. (a)Derive an...Problem 4.10P:
Based on the dimensionless conduction heat rates for cases 12—15 in Table 4.1b, find shape factors...Problem 4.11P:
Determine the heat transfer rate between two particles of diameter D=100m and temperatures T1=300.1K...Problem 4.12P:
A two-dimensional object is subjected to isothermal conditions at its left and right surfaces, as...Problem 4.13P:
An electrical heater 100 mm long and 5 mm in diameter is inserted into a hole drilled normal to the...Problem 4.14P:
Two parallel pipelines spaced 0.5 m apart are buried in soil having a thermal conductivity of...Problem 4.15P:
A small water droplet of diameter D=100m and temperature Tmp=0C falls on a nonwetting metal surface...Problem 4.16P:
A tube of diameter 50 mm having a surface temperature of 85°C is embedded in the center plane of a...Problem 4.17P:
Pressurized steam at 450K flows through a long, thin-walled pipe of 0.5-m diameter. The pipe is...Problem 4.18P:
The temperature distribution in laser-irradiated materials is determined by the power, size, and...Problem 4.19P:
Hot water at 85°C flows through a thin-walled copper tube of 30-mm diameter. The tube is enclosed by...Problem 4.20P:
A furnace of cubical shape, with external dimensions of 0.35 m, is constructed from a refractory...Problem 4.21P:
Laser beams are used to thermally process materials in a wide range of applications. Often, the beam...Problem 4.22P:
A double-glazed window consists of two sheets of glass separated by an L=0.2 -mm-thick gap. The gap...Problem 4.23P:
A pipeline, used for the transport of crude oil, is buried in the earth such that its centerline is...Problem 4.24P:
A long power transmission cable is buried at a depth (ground-to-cable-centerline distance) of 2 m....Problem 4.25P:
A small device is used to measure the surface temperature of an object. A thermocouple bead of...Problem 4.26P:
A cubical glass melting furnace has exterior dimensions of width W=5m on a side and is constructed...Problem 4.28P:
An aluminum heat sink (k=240W/mK), used to cool an array of electronic chips, consists of a square...Problem 4.29P:
Hot water is transported from a cogeneration power station to commercial and industrial users...Problem 4.30P:
A long constantan wire of 1-mm diameter is butt welded to the surface of a large copper block,...Problem 4.31P:
A hole of diameter D=0.25m is drilled through the center of a solid block of square cross section...Problem 4.32P:
In Chapter 3 we that, whenever fins are attached to a base material, the base temperature is...Problem 4.33P:
An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted...Problem 4.35P:
An electronic device, in the form of a disk 20 mm in diameter, dissipates 100 W when mounted flush...Problem 4.36P:
The elemental unit of an air heater consists of a long circular rod of diameter D, which is...Problem 4.41P:
One of the strengths of numerical methods is their ability to handle complex boundary conditions. In...Problem 4.42P:
Determine expressionsfor q(m1,n)(m,n),q(m+1,n)(m,n),q(m,n+1)(m,n) and q(m,n1)(m,n) for conduction...Problem 4.43P:
Consider heat transfer in a one-dimensional (radial) cylindrical coordinate system under...Problem 4.44P:
In a two-dimensional cylindrical configuration, the radial (r) and angular () spacings of the nodes...Problem 4.45P:
Upper and lower surfaces of a bus bar are convectively cooled by air at T, with huhl. The sides are...Problem 4.46P:
Derive the nodal finite-difference equations for the following configurations. (a)Node (m,n) on a...Problem 4.47P:
Consider the nodal point 0 located on the boundary between materials of thermal conductivity kA and...Problem 4.50P:
Consider the network for a two-dimensional system without internal volumetric generation having...Problem 4.51P:
An ancient myth describes how a wooden ship was destroyed by soldiers who reflected sunlight from...Problem 4.52P:
Consider the square channel shown in the sketch operating under steady-state conditions. The inner...Problem 4.53P:
A long conducting rod of rectangular cross section (20mm30mm) and thermal conductivity k=20W/mK...Problem 4.54P:
A flue passing hot exhaust gases has a square cross section, 300 mm to a side. The walls are...Problem 4.55P:
Steady-state temperatures (K) at three nodal points of a long rectangular rod are as shown. The rod...Problem 4.56P:
Functionally graded materials are intentionally fabricated to establish a spatial distribution of...Problem 4.57P:
Steady-state temperatures at selected nodal points of the symmetrical section of a flow channel are...Problem 4.58P:
Consider an aluminum heat sink (k=240W/mK), such as that shown schematically in Problem 4.28. The...Problem 4.59P:
Conduction within relatively complex geometries can sometimes be evaluated using the...Problem 4.61P:
The steady-state temperatures (°C) associated with selected nodal points of a two-dimensional system...Problem 4.62P:
A steady-state, finite-difference analysis has been performed on a cylindrical tin with a diameter...Problem 4.66P:
Consider a two-dimensional. straight triangular fin of length L=50mm and base thickness t=20mm. The...Problem 4.67P:
A common arrangement for heating a large surface area is to move warm air through rectangular ducts...Problem 4.69P:
A long, solid cylinder of diameter D=25mm is formed of an insulating core that is covered with a...Problem 4.70P:
Consider Problem 4.69. An engineer desires to measure the surface temperature of the thin sheathing...Problem 4.75P:
Refer to the two-dimensional rectangular plate of Problem 4.2. Using an appropriate numerical method...Problem 4.76P:
The shape factor for conduction through the edge of adjoining walls for which DL/5, where D and L...Problem 4.80P:
A simplified representation for cooling in very large-scale integration (VLSI) of microelectronics...Problem 4.85P:
A long trapezoidal bar is subjected to uniform temperatures on two surfaces, while the remaining...Problem 4.92P:
Consider the system of Problem 4.54. The interior surface is exposed to hot gases at 3500C with a...Problem 4S.1P:
A long furnace. constructed from refractory brick with a thermal conductivity of 1.2W/mK, has the...Problem 4S.2P:
A hot pipe is embedded eccentrically as shown in a material of thermal conductivity 0.5W/mK. Using...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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