Introduction to Heat Transfer
6th Edition
ISBN: 9780470501962
Author: Frank P. Incropera, David P. DeWitt, Theodore L. Bergman, Adrienne S. Lavine
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question
Chapter 3, Problem 3.75P
To determine
The expression for the steady state temperature distribution in the shell.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
2. A sheet metal whose Poisson's ratio is 0.29, coefficient of thermal expansion is 10 ×10-6 /°C, E
with the thickness of 5 mm, width 0.6 m and length 3 m is being stretched uniformly by a force of 240000 N
along its width. Its initial temperature is 360°C and after the process is finished, the temperature is cooled down
to 280°C, determine the percentage volume change of the sheet from the initial, unstressed state.
100 GPa,
3 m
►240000 N
0.6 m
Please include free body diagram and please don't type
A steel bar is heated in a furnace until it reaches 2000oF. The blacksmith observes that it cools to 1500oF in 15 minutes. It needs to be hammered into shape before it gets within 500oF of the room temperature (100oF) before it gets too cold to be shaped properly. After pulling out the steel bar from the furnace, how long does the blacksmith have before it needs to be reheated? Assume that Newton's law of cooling is applicable.
Chapter 3 Solutions
Introduction to Heat Transfer
Ch. 3 - Consider the plane wall of Figure 3.1, separating...Ch. 3 - A new building to be located in a cold climate is...Ch. 3 - The rear window of an automobile is defogged by...Ch. 3 - The rear window of an automobile is defogged by...Ch. 3 - A dormitory at a large university, built 50 years...Ch. 3 - In a manufacturing process, a transparent film is...Ch. 3 - Prob. 3.7PCh. 3 - A t=10-mm-thick horizontal layer of water has a...Ch. 3 - Prob. 3.9PCh. 3 - The wind chill, which is experienced on a cold,...
Ch. 3 - Prob. 3.11PCh. 3 - A thermopane window consists of two pieces of...Ch. 3 - A house has a composite wall of wood, fiberglass...Ch. 3 - Prob. 3.14PCh. 3 - Prob. 3.15PCh. 3 - Work Problem 3.15 assuming surfaces parallel to...Ch. 3 - Consider the oven of Problem 1.54. The walls of...Ch. 3 - The composite wall of an oven consists of three...Ch. 3 - The wall of a drying oven is constructed by...Ch. 3 - The t=4-mm-thick glass windows of an...Ch. 3 - Prob. 3.21PCh. 3 - In the design of buildings, energy conservation...Ch. 3 - Prob. 3.23PCh. 3 - Prob. 3.24PCh. 3 - Prob. 3.25PCh. 3 - A composite wall separates combustion gases at...Ch. 3 - Prob. 3.27PCh. 3 - Prob. 3.28PCh. 3 - Prob. 3.29PCh. 3 - The performance of gas turbine engines may...Ch. 3 - A commercial grade cubical freezer, 3 m on a...Ch. 3 - Prob. 3.32PCh. 3 - Prob. 3.33PCh. 3 - Prob. 3.34PCh. 3 - A batt of glass fiber insulation is of density...Ch. 3 - Air usually constitutes up to half of the volume...Ch. 3 - Prob. 3.37PCh. 3 - Prob. 3.38PCh. 3 - The diagram shows a conical section fabricatedfrom...Ch. 3 - Prob. 3.40PCh. 3 - From Figure 2.5 it is evident that, over a wide...Ch. 3 - Consider a tube wall of inner and outer radii ri...Ch. 3 - Prob. 3.43PCh. 3 - Prob. 3.44PCh. 3 - Prob. 3.45PCh. 3 - Prob. 3.46PCh. 3 - To maximize production and minimize pumping...Ch. 3 - A thin electrical heater is wrapped around the...Ch. 3 - Prob. 3.50PCh. 3 - Prob. 3.51PCh. 3 - Prob. 3.52PCh. 3 - A wire of diameter D=2mm and uniform temperatureT...Ch. 3 - Prob. 3.54PCh. 3 - Electric current flows through a long rod...Ch. 3 - Prob. 3.56PCh. 3 - A long, highly polished aluminum rod of diameter...Ch. 3 - Prob. 3.58PCh. 3 - Prob. 3.59PCh. 3 - Prob. 3.60PCh. 3 - Prob. 3.61PCh. 3 - Prob. 3.62PCh. 3 - Consider the series solution, Equation 5.42, for...Ch. 3 - Prob. 3.64PCh. 3 - Copper-coated, epoxy-filled fiberglass circuit...Ch. 3 - Prob. 3.66PCh. 3 - A constant-property, one-dimensional Plane slab of...Ch. 3 - Referring to the semiconductor processing tool of...Ch. 3 - Prob. 3.69PCh. 3 - Prob. 3.70PCh. 3 - Prob. 3.71PCh. 3 - The 150-mm-thick wall of a gas-fired furnace is...Ch. 3 - Steel is sequentially heated and cooled (annealed)...Ch. 3 - Prob. 3.74PCh. 3 - Prob. 3.75PCh. 3 - Prob. 3.76PCh. 3 - Prob. 3.77PCh. 3 - Prob. 3.78PCh. 3 - The strength and stability of tires may be...Ch. 3 - Prob. 3.80PCh. 3 - Prob. 3.81PCh. 3 - A long rod of 60-mm diameter and thermophysical...Ch. 3 - A long cylinder of 30-min diameter, initially at a...Ch. 3 - Work Problem 5.47 for a cylinder of radius r0 and...Ch. 3 - Prob. 3.85PCh. 3 - Prob. 3.86PCh. 3 - Prob. 3.87PCh. 3 - Prob. 3.88PCh. 3 - Prob. 3.89PCh. 3 - Prob. 3.90PCh. 3 - Prob. 3.91PCh. 3 - Prob. 3.92PCh. 3 - In Section 5.2 we noted that the value of the Biot...Ch. 3 - Prob. 3.94PCh. 3 - Prob. 3.95PCh. 3 - Prob. 3.96PCh. 3 - Prob. 3.97PCh. 3 - Prob. 3.98PCh. 3 - Work Problem 5.47 for the case of a sphere of...Ch. 3 - Prob. 3.100PCh. 3 - Prob. 3.101PCh. 3 - Prob. 3.102PCh. 3 - Prob. 3.103PCh. 3 - Consider the plane wall of thickness 2L, the...Ch. 3 - Problem 4.9 addressed radioactive wastes stored...Ch. 3 - Prob. 3.106PCh. 3 - Prob. 3.107PCh. 3 - Prob. 3.108PCh. 3 - Prob. 3.109PCh. 3 - Prob. 3.110PCh. 3 - A one-dimensional slab of thickness 2L is...Ch. 3 - Prob. 3.112PCh. 3 - Prob. 3.113PCh. 3 - Prob. 3.114PCh. 3 - Prob. 3.115PCh. 3 - Derive the transient, two-dimensional...Ch. 3 - Prob. 3.117PCh. 3 - Prob. 3.118PCh. 3 - Prob. 3.119PCh. 3 - Prob. 3.120PCh. 3 - Prob. 3.121PCh. 3 - Prob. 3.122PCh. 3 - Consider two plates, A and B, that are each...Ch. 3 - Consider the fuel element of Example 5.11, which...Ch. 3 - Prob. 3.125PCh. 3 - Prob. 3.126PCh. 3 - Prob. 3.127PCh. 3 - Prob. 3.128PCh. 3 - Prob. 3.129PCh. 3 - Consider the thick slab of copper in Example 5.12,...Ch. 3 - In Section 5.5, the one-term approximation to the...Ch. 3 - Thermal energy storage systems commonly involve a...Ch. 3 - Prob. 3.133PCh. 3 - Prob. 3.134PCh. 3 - Prob. 3.135PCh. 3 - A tantalum rod of diameter 3 mm and length 120 mm...Ch. 3 - A support rod k=15W/mK,=4.0106m2/s of diameter...Ch. 3 - Prob. 3.138PCh. 3 - Prob. 3.139PCh. 3 - A thin circular disk is subjected to induction...Ch. 3 - An electrical cable, experiencing uniform...Ch. 3 - Prob. 3.142PCh. 3 - Prob. 3.145PCh. 3 - Consider the fuel element of Example 5.11, which...Ch. 3 - Prob. 3.147PCh. 3 - Prob. 3.148PCh. 3 - Prob. 3.149PCh. 3 - Prob. 3.150PCh. 3 - In a manufacturing process, stainless steel...Ch. 3 - Prob. 3.153PCh. 3 - Carbon steel (AISI 1010) shafts of 0.1-m diameter...Ch. 3 - A thermal energy storage unit consists of a large...Ch. 3 - Small spherical particles of diameter D=50m...Ch. 3 - A spherical vessel used as a reactor for producing...Ch. 3 - Batch processes are often used in chemical and...Ch. 3 - Consider a thin electrical heater attached to a...Ch. 3 - An electronic device, such as a power transistor...Ch. 3 - Prob. 3.161PCh. 3 - In a material processing experiment conducted...Ch. 3 - Prob. 3.165PCh. 3 - Prob. 3.166PCh. 3 - Prob. 3.167PCh. 3 - Prob. 3.168PCh. 3 - Prob. 3.173PCh. 3 - Prob. 3.174PCh. 3 - Prob. 3.175PCh. 3 - Prob. 3.176PCh. 3 - Prob. 3.177P
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Two balls (A and B) are made of the same material, heated to the same temperature and allowed to cool in the same medium "same h", when the diameter ratio (D/Dg = 2.0), then the cooling rate ratio (Q/QR) will bearrow_forwardDefine the Work Associated with the Stretching of a Liquid Film?arrow_forward"You did calculations using the simplified HAZ time-temperature formulas, assuming 3D heat flow, and are presenting your final internship conclusions to management. You realize with horror, in the middle of your presentation, that you forgot to label your calculated curves (below). Which curve is which? Pick the best answer A: "Plot 1 is HYPERFILL® and Plot 2 is p-GMAW. Since HYPERFILL® has the higher heat input, it cools more slowly." B: "Plot 2 is HYPERFILL® and Plot 1 is p-GMAW. Since HYPERFILL® has the faster travel speed of the two processes, it cools faster." C: "Plot 1 is p-GMAW and Plot 2 is HYPERFILL®. Since p-GMAW has the slower travel speed, it cools more slowly." D: "Plot 2 is p-GMAW and Plot 1 is HYPERFILL®. Since p-GMAW has the lower heat input, it cools faster" Both (A) and (D)arrow_forward
- Thermal properties of mould and Iron is given as latent heat of iron = 270 the freezing temperature of iron = 1500 C. the density of molten iron = 7500 kg kJ kg-K the specific heat of mould material = 1.2 the themal condudivity of mould material = 09 Wm-K the density of the mould material = 1500 kg Determine the solidification time for a slab-shaped casting of 16 e thickness when iỘn withaut superheat is poured into the sand mold at an initial m temperature of 300 C BI Uarrow_forwardTHICK-WALLED PRESSURE VESSELS A steel compound cylinder is formed by shrinking a tube 400 mm outside diameter and 300 mm inside diameter on to one of 300 mm outside diameter and 200 mm inside diameter. When subjected to an operating pressure of 200 MPa, the radial pressure generated at the common interface is 75 MNm-². c) The Young's modulus for steel is 210GNm-². Calculate the shrinkage allowance used during the manufacture of this compound cylinder.arrow_forwardNi-W alloys are widely used in tape form, i.e., sheets that are a hundred microns thick and several hundred meters long. A. A starting sheet of Ni-W alloy cannot be cold-rolled into a tape in a single pass. Instead, cold-rolling steps must be alternated with annealing steps. Why? B. Consider a fully-annealed, 1 cm-thick, 1 m-long sheet which is cold-rolled to a 7-mm thickness. What is the %CW? Assuming that the width does not change, how long is the sheet after rolling? C. Now consider an identical starting sheet that is rolled to a 3-mm thickness. How do the yield strength, tensile strength, and ductility of this rolled sheet compare to the previous one? D. If the maximum amount of cold work that can be done in a work-annealing cycle is 70%CW, how many cycles are required to roll the Ni-W alloy sheet to a thickness of 50 μm?arrow_forward
- Dr Downey is trying his hand at fording and has made a blade of 15N20 steel that can be assumed to be a rectangle with the dimensions of 50x5x250mm. To get the best mechanical properties, the blade needs to be quenched (rapidly cooled) from 800°C to 125°C in oil at a temperature of 25°C to form Martensite. From his material science background Dr Downey calculates that the quench must not take longer than 200s. Some thermal transport properties are shown in the figure below. Calculate the time that is needed for the blade to reach 125°C. Will these conditions be less than the required quench time? Be sure to show that you have verified your method is valid. 250mm 5mm To: 25 °C h: 200 W/m²/K K15N20 35.7 W/m/K CP15N20 1058 J/kg/K P15N20 7817 kg/m³ 50mmarrow_forwardA 2.54-cm. steel bolt is used to clamp two aluminum (2014-T6, HT aged) plates together as shown by Fig. Problem 5. The aluminum plates have a total thickness of 5.08 cm. and an equivalent diameter of 5.08 cm. The bolt is heated to a temperature of 93.33 °C, the inserted in the aluminum plates, which are at 26.7 °C, and tightened so as to have a tensile tightening stress of 207 MPa in the unthreaded shank while steel at 93.33 °C. What is the tensile stress in the bolt after assembly has cooled to 26.7 °C? The deformations are elastic. Fe Aluminum Ports 2D- -D- Grip 2" B Steel- Fearrow_forwardA 1.5m diameter spherical balloon containing air at (K + 10) kPa is cooled such that the volume is reducedby 25%. For the process, the pressure is proportional to the square of the sphere’s diameter. What is the workdone by the surrounding? IMPORTANT NOTE: K=821arrow_forward
- 1- A large slab of steel at a uniform tempering temperature of 200°C and suddenly quenching, and it surface temperature lowered to 70°C. calculate the required time when the temperature at a depth 4.0 cm has dropped to 120°C? Given: steel [k =45 W/m°C, a=1.4x10 m²/s, c=0.46 kJ/kg]arrow_forwardPlease help me get the correct answer quickly, please. :((arrow_forwardOnce upon a time, a student from a certain university wants to learn crystallization using a Swenson-Walker crystallizer. The capacity of this crystallizer is 0.6124 Ib/s of FeSO4 slurry leaves at 300 K. The flow mechanism of the cooling is counter current through the jacket and its temperature increases from 61 to 70 F. The overall heat transfer coefficient has been estimated to be 190 Sl units. (). Determine the requirement for cooling water in kg/hr (i) Let supposed that each crystallizer unit is 3.5 yard long and each metre of crystallizer provides26.91 ft? surface, how many crystallizer units will be required?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Heat Transfer – Conduction, Convection and Radiation; Author: NG Science;https://www.youtube.com/watch?v=Me60Ti0E_rY;License: Standard youtube license