Solutions for Fundamentals of Heat and Mass Transfer
Problem 8.1P:
Fully developed conditions are known to exist for water flowing through a 25-nim-diameer tube at...Problem 8.2P:
What is the pressure drop associated with water at 27C flowing with a mean velocity of 0.2m/s...Problem 8.3P:
Water at 27C flows with a mean velocity of 1 m/s through a l-km-long pipe of 0.25-m inside diameter....Problem 8.4P:
An engine oil cooler consists of a bundle of 25 smooth tubes, each of length L=2.5m and diameter...Problem 8.5P:
For fully developed laminar flow through a parallel-plate channel, the x-momentum equation has the...Problem 8.6P:
Consider pressurized water, engine oil (unused), and NaK (22/78) flowing in a 20-mm-diameter tube....Problem 8.7P:
Velocity and temperature profiles for laminar flow in a tube of radius r0=10 mm have the form...Problem 8.8P:
At a particular axial station, velocity and temperature profiles for laminar flow in a parallel...Problem 8.9P:
In Chapter 1, it was stated that for incompressible liquids, flow work could usually be neglected in...Problem 8.10P:
When viscous dissipation is included. Equation 8.48 (multiplied by cp ) becomes cpuTx=krr(rTr)+( du...Problem 8.11P:
Consider a circular tube of diameter D and length L, with a mass flow rate of m. (a) For constant...Problem 8.13P:
Consider flow in a circular tube. Within the test section length (between 1 and 2) a constant heat...Problem 8.14P:
Consider a cylindrical nuclear fuel rod of length L and diameter D that is encased in a concentric...Problem 8.15P:
Consider the laminar thermal boundary layer development near the entrance of the tube shown in...Problem 8.16P:
In a particular application involving fluid flow at a rate m through a circular tube of length L and...Problem 8.17P:
A flat-plate solar collector is used w heat atmospheric air flowing through a rectangular channel....Problem 8.18P:
Atmospheric air enters the heated section of a circular tube at a flow rate of 0.005 kg/s and a...Problem 8.19P:
Fluid enters a tube with a flow rate of 0.015kg/s and an inlet temperature of 20C . The tube, which...Problem 8.20P:
Water at 300 K and a flow rate of 5kg/s enters a black, thin-walled tube, which passes through a...Problem 8.21P:
Slug flow is an idealized tube flow condition for which the velocity is assumed to be uniform over...Problem 8.22P:
Superimposing a control volume that is differential in x on the tube flow conditions of Figure 8.8,...Problem 8.23P:
An experimental nuclear core simulation apparatus consists of a long thin-walled metallic tube of...Problem 8.24P:
Water at 20°C and a flow rate of 0.1kg/s enters a heated, thin-walled tube with a diameter of 15 mm...Problem 8.25P:
Engine oil is heated by flowing through a circular tube of diameter D=50mm and length L=25m and...Problem 8.26P:
Engine oil flows through a 25mm -diameter tube at a rate of 0.5kg/s . The oil enters the tube at a...Problem 8.27P:
In the final stages of production, a pharmaceutical is sterilized by heating it from 25 to 75C as it...Problem 8.28P:
An oil preheater consists of a single tube of 10mm diameter and 5m length, with its surface...Problem 8.29P:
Engine oil flows at a rate of 1kg/s through a 5mm diameter straight tube. The oil has an inlet...Problem 8.30P:
Air at p=1atm enters a thin-walled ( D=5-mm diameter) long tube (L=2m) at an inlet temperature of...Problem 8.31P:
To cool a summer home without using a vapor compression refrigeration cycle, air is routed through a...Problem 8.32P:
Batch processes are often used in chemical and pharmaceutical operations to achieve a desired...Problem 8.33P:
The evaporator section of a heat pump is installed in a large tank of water, which is used as a heat...Problem 8.35P:
Water flowing at 2kg/s through a 40mm diameter tube is to be heated from 25 to 75C by maintaining...Problem 8.36P:
Consider the conditions associated with the hot water pipe of Problem 7.56, but now account for the...Problem 8.37P:
A thick-walled, stainless steel (AISI 316) pipe of inside and outside diameters Di=20 mm and Do=40...Problem 8.38P:
An air heater for an industrial application consists of an insulated, concentric tube annulus, for...Problem 8.39P:
Consider fully developed conditions in a circular tube with constant surface temperature TsTm ....Problem 8.40P:
Consider the encased pipe of Problem 4.29, but now allow tor the difference between the mean...Problem 8.41P:
Water flows through a thick-wailed tube with an innerdiameter of 12 mm and a length of 8 in. The...Problem 8.42P:
Atmospheric air enters a 10m -long. 150mm -diameter uninsulated heating duct at 60C and 0.04kg/s ....Problem 8.43P:
NaK (45%/55). which is an alloy of sodium and potassium. is used to cool fast neutron nuclear...Problem 8.44P:
The products of combustion from a burner are routed to an industrial application through a...Problem 8.45P:
Liquid mercury at 0.5kg/s is lo be heated from 300 to 400 K by passing it through a 50mm -diameter...Problem 8.46P:
The surface of a 50-mm-diameter. thin-walled tube is maintained at 100C . In one case air is in...Problem 8.47P:
Consider a horizontal, thin-walled circular tube of diameter D=0.025m submerged in a container of...Problem 8.48P:
Consider pressurized liquid water flowing at m=0.1kg/s in a circular tube of diameter D=0.1m and...Problem 8.49P:
Cooling water flows through the 25.4-mm -diameter thin-walled tubes of a steam condenser at 1 m/s....Problem 8.50P:
The air passage for cooling a gas turbine vane can be approximated as a lube of 3-mm diameter and...Problem 8.51P:
The core of a high-temperature, gas-cooled nuclear reactor has coolant tubes of 20-mm diameter and...Problem 8.52P:
Air at 200kPa enters a 2-m -long, thin-walled tube of 25-mm diameter at 150C and 6m/s . Steam aft 20...Problem 8.53P:
Heated air required for a food-drying process is generated by passing ambient air at 20C through...Problem 8.54P:
Consider laminar flow of a fluid with Pr=4 that undergoes a combined entrance process within a...Problem 8.55P:
A common procedure for cooling a high-performance computer chip involves joining the chip to a heat...Problem 8.56P:
One way to cool chips mounted on the circuit boards ofa computer is to encapsulate the boards in...Problem 8.57P:
Refrigerant- 134a is being transported a 0.1 kg/s through a Teflon tube of inside diameter D0=28 mm...Problem 8.58P:
Oil at 150°C flows slowly through a long, thin-walled pipe of 30-mm inner diameter. The pipe is...Problem 8.59P:
Exhaust gases from a wire processing oven are discharged into a tall stack, and the gas and stack...Problem 8.60P:
A hot fluid passes through a thin-walled tube of 10-mm diameter and 1-m length, and a coolant at...Problem 8.61P:
Consider a thin-walled tube of 10mm diameter and 2m length. Water enters the tube from a large...Problem 8.62P:
Water at a flow rate of m =0.215kg/s is cooled from 70°C to 30°C by passing it through a thin-walled...Problem 8.64P:
To maintain pump power requirements per unit flow rate below an acceptable level, operation of (he...Problem 8.65P:
Consider a thin-walled, metallic tube of length L=1m and inside diameter Di=3mm . Water enters the...Problem 8.66P:
A circular tube of diameter D=0.2mm and length L=100mm in1poes a constant heat flux of qn=20103W/m2...Problem 8.67P:
Repeat Problem 8.66 for a circular tube of diameter D=2mm . an applied heat flux of qn=200,000W/m2 ....Problem 8.68P:
Heat is to be removed from a reaction vessel operating at 75C by supplying water at 27C and 0.12...Problem 8.69P:
A healing contractor must heat 0.2kg/s of water from 15C to 35C using hot gases in cross flow over a...Problem 8.70P:
A thin-walled tube with a diameter of 6 mm and length of 20m is used to carry exhaust gas from a...Problem 8.71P:
A 50mm -diameter, thin—walled metal pipe covered with a 25mm -thick layer of insulation (0.085W/m.K)...Problem 8.72P:
A thin-walled, uninsulated 0.3m -diameter duct is used to route chilled air at 0.05kg/s through the...Problem 8.73P:
Pressurized water at Tm,i=200C is pumped at m=2kg/s from a power plant to a nearby industrial user...Problem 8.74P:
Water at 290K and 0.2kg/s flows through a Teflon tube (k=0.35W/mK) of inner and outer radii equal to...Problem 8.75P:
The temperature of flue gases flowing through the large stack of a boiler is measured by means of a...Problem 8.76P:
In a biomedical supplies manufacturing process, a requirement exists for a large platen that is to...Problem 8.77P:
Consider the ground source heat pump of Problem 5.100 under winter conditions for which the liquid...Problem 8.78P:
For a sharp-edged inlet and a combined entry region, the average Nusselt number may be computed from...Problem 8.79P:
Fluid enters a thin-walled rube of 5-mni diameter and 2-m length with a flow rate of 0.04 kg/s and a...Problem 8.80P:
Air at 3104kg/s and 27C enters a rectangular duct that is 1 m long and 4 turn 16mm on a side. A...Problem 8.81P:
Air at 25C flows at 30106kg/s within 100mm -long channels used to cool a high thermal conductivity...Problem 8.82P:
A cold plate is an active cooling device that is attached to a heat-generating system in order to...Problem 8.83P:
The cold plate design of Problem 8.82 has not been optimized with respect to selection of the...Problem 8.84P:
A device that recovers heat from high-temperature combustion products involves passing the...Problem 8.85P:
Air at 1 atm and 285K enters a 2-m -long rectangular duct with cross section 75mm150mm . The duct is...Problem 8.86P:
A double-wall heat exchanger is used to transfer heat between liquids flowing through semicircular...Problem 8.87P:
Consider laminar, fully developed flow in a channel of constant surface temperature TS . For a given...Problem 8.88P:
You have been asked to perform a feasibility study on the design of a blood warmer to be used during...Problem 8.89P:
A coolant flows through a rectangular channel (gallery) within the body of a mold used to form metal...Problem 8.90P:
An electronic circuit board dissipating 50W is sandwiched between two ducted, forced-air-cooled heat...Problem 8.91P:
To slow down large prime movers like locomotives, a process termed dynamic electric braking is used...Problem 8.92P:
A printed circuit board (PCB) is cooled by laminar. fully developed airflow in adjoining,...Problem 8.93P:
Water at m=0.02kg/s and Tm,i=20C enters an annular region formed by an inner tube of diameter Di=25...Problem 8.94P:
tFor the conditions of Problem 8.93, how tong must the annulus be if the water flow rate is 0.30kg/s...Problem 8.95P:
Referring 10 Figure 8.11, consider conditions in an annulus having an outer surface that is...Problem 8.96P:
Consider the air healer of Problem 8.38, but now with airflow through the annulus and steam flow...Problem 8.97P:
Consider a concentric tube annulus for which the inner and outer diameters are 25 and 50mm . Water...Problem 8.98P:
It is common practice (o recover waste heat from an oil-or gas-fired furnace by using the exhaust...Problem 8.99P:
A concentric lube arrangement, for which the inner and outer diameters are 80mm and 100mm ....Problem 8.101P:
Consider sterilization of the pharmaceutical product of Problem 8.27. To avoid any possibility of...Problem 8.102P:
An engineer proposes to insert a solid rod of diameter Di into a circular tube of diameter Do to...Problem 8.103P:
An electrical power transformer of diameter 230mm and height 500mm dissipates 1000W . It is desired...Problem 8.104P:
A bayonet cooler is used to reduce the temperature of a pharmaceutical fluid. The pharmaceutical...Problem 8.105P:
The mold used in an injection molding process consists of a top half and a bottom half. Each half is...Problem 8.109P:
Consider the microchannel cooling arrangement ofProblem 8.107. However, instead of assuming...Problem 8.110P:
The onset of turbulence in a gas flowing within a circular tube occurs at ReD,c2300 , while a...Problem 8.111P:
Due to its comparatively large thermal conductivity, water is a preferred fluid for convection...Problem 8.113P:
A novel scheme for dissipating heat from the chips ofa multichip array involves machining coolant...Problem 8.115P:
An experiment is designed to study microscale forced convection. Water at Tm,i=300K is to be heated...Problem 8.116P:
Determine the tube diameter that corresponds to a 10 reduction in the convection heat transfer...Problem 8.117P:
An experiment is devised to measure liquid flow andconvective heat transfer rates in microscale...Problem 8.118P:
In the processing of very long plastic tubes of 2mm inside diameter, air flows inside the tubing...Problem 8.119P:
Air at 300K and a flow rate of 3kg/h passes upward through a 30mm tube, as shown in the sketch. A...Problem 8.120P:
What is the convection mass transfer coefficient associated with fully developed atmospheric airflow...Problem 8.121P:
Air flowing through a tube of 75mm diameter passes over a 150-nuniong roughened Section that is...Problem 8.123P:
Consider gas flow of mass density and rate m though a tube whose inner surface is coated with a...Problem 8.124P:
Atmospheric air at 25C and 3104kg/s flows through a 10mm -diameter, 1-m-long circular tube whose...Problem 8.125P:
Air at 25C and 1atm is in fully developed flow at m=103kg/s through a 10mm -diameter circular tube...Problem 8.126P:
A humidifier consists of a bundle of vertical tubes, each of 20mm diameter, through which dry...Problem 8.127P:
The final step of a manufacturing process in which a protective coating is applied to the inner...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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