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
Concept explainers
Question
Chapter 3, Problem 3.125P
(a)
To determine
The equation from which the temperature distribution in a wire lead may be determined.
(b)
To determine
The temperature distribution in a wire lead.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A 15 lb. block of brass with a specific heat of 0.089 is heated to 189°C and the immersed in 5 gal. of water at 66°C. What is the final temperature of the brass and water? Assume there is no heat loss.
A water tank is completely filled with liquid water at 40°C. The tank material is such that it can withstand
tension caused by a volume expansion of 5 percent. Determine the maximum temperature rise allowed
without jeopardizing safety. Assume a volume expansion coefficient value at that of 65 °C.
(Just write the numerical answer. Include - if the answer is negative. No need to put the unit.)
Properties of saturated water
Volume
Specific
Heat
Jkg - K
Thermal
Conductivity
k, Wim- K
Prandti
Enthalpy
Dynamic Viscosity
H. kg/m -s
Expansion
Coefficient
Number
Density
P. kgim
Saturation
of
Pr
Temp.
T, "C
B. 1/K
Liquid
Pressure
Vaporization
P, kPa
Liquid
Vapor
hg, k/kg
Liquid
Vapor
Liquid
Vapor
Liquid
Vapor
Liquid Vapor
0.0171 1.792 x 103
0.0173
0.922 x 105 13.5
0.934 x 10-5
1.00 -0.068 x 10 3
1.00
1.00
0.01
0.6113 999.8
0.8721
0.0048
0.0068
2501
2490
2478
4217
4205
1854
0.561
0.571
1.519 x 10-3
1.307 x 10-3 0.946 x 10-5
1.138 x 10 3 0.959 x 10-5
1.002 x 10 3 0.973 x 105
999.9
1857
11.2
0.015…
(a) The temperature at the surface of the heating rod, T1.
(b) If the salt solution temperature is 300 degree Celcius, what is the value of convection heat transfer coefficient, h of the salt solution ?
(c) If the heating rod is not covered by metallic cylinder and corresponds to the result of part (a) and (b), how much the rate of energy transfer to the salt solution ?
(d) Compare and discuss the difference of heat transfer with and without the matallic cylinder.
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
- What are the physical and thermal properties of water at 6 degrees celsiarrow_forwardWater at 50°C and 1 atm pressure is heated to 100°C at constant pressure. Using coefficient of volume expansion data, determine the change in the density of water. (Just write the numerical answer. Include - if the answer is negative. No need to put the unit.) Properties of saturated water Volume Specific Thermal Prandti Enthalpy Expansion Number Density P. kgima Conductivity k, Wim - K Dynamic Viscosity H. kgfm -s Heat Saturation of Coefficient G Jkg - K Pr 8, 1/K Liquid Pressure Temp. T. "C Vaporization hng, kkg Pat, kPa Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor Liquid Vapor 1854 1857 1862 0.561 0.571 0.580 1.792 x 10-3 1.519 x 10-3 0.0176 1.307 x 10-3 1.138 x 10-3 0.0182 1.002 x 10-3 0.973 x 10-5 1.00 -0.068 x 10-3 0.015 x 10 0.733 x 10- 0.138 x 10 3 0.195 x 10 3 4217 0.0171 0.922 x 10 5 0.934 x 10-5 0.946 x 10 0.959 x 10 0.01 0.6113 999.8 999.9 0.8721 1.2276 999.7 0.0048 2501 2490 13.5 0.0068 4205 0.0173 11.2 1.00 10 0.0094 2478 4194 9.45 1.00 0.0128 0.0173 2466 2454 8.09…arrow_forwardWhat are the Poisson equations? How would the respective equations look like at isothermal, iso-choric, isobaric conditions?arrow_forward
- Water is to be boiled at atmospheric pressure in a polished copper pan by means of an electric heater. The diameter of the pan is 0.48 m and is kept at 108 deg C. What is the power required to boil the water? Tsat 100°C; Properties of water at 100°C: Density. pl= 961 kg/m3; Kinematic viscosity, v 0.293x10-6 m2/s: Prandti Number. Pr 1.740; Specific heat, Cpl = 4216 J/kg.K; Dynamic viscosity, u = p x v = 961 x 0.293 x 10-6 = 281.57 x10-6 Ns/m2; hfg = 2256.9 k/kg; pv = 0.597 kg/m3; a = 0.0588 N/m; Csf=0.013; n=1: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_forwardA ball has a diameter of 28 mm and falls in honey with a terminal velocity of 0.3 m/s. For honey, take Ph = 1360 kg/m³ and h = 0.04 m²/s. Note: The volume of a sphere is V=³. (Figure 1) Figure 1 of 1 Part A Determine the mass of the ball. Express your answer to three significant figures and include the appropriate units. m= Submit μA Value Provide Feedback kg Previous Answers Request Answer ? X Incorrect; Try Again; 4 attempts remainingarrow_forward
- 2- A 15 m long, 75 mm diameter riser tube receives saturated water at 160 bar and at a velocity of 0.7 m/s. Heat is added to it uniformly. The slip ratio is 1.7. Estimate the maximum heat added to the tube in kJ/m if the exit void fraction is not to exceed 0.80.arrow_forwardA chromel–constantan thermocouple measuring the temperature of a fluid is connected by mistake with copper–constantan extension leads (such that the two constantan wires are connected together and the copper extension lead wire is connected to the chromel thermocouple wire). If the fluid temperature was actually 250 C and the junction between the thermocouple and extension leads was at 90 C, what e.m.f. would be measured at the open ends of the extension leads if the reference junction is maintained at 0 C? What fluid temperature would be deduced from this (assuming that the connection error was not known)?arrow_forwardA copper rod, an aluminum rod, and a brass, each 6.00 m length and 1.00 cm diameter, are placed end to end with the aluminum rod between the other two. The free end of the copper rod is maintained at water’s boiling point, and the free end of the brass rod is maintained at water’s freezing point. If T1 and T2 are steady-state temperature copper-aluminum junction and aluminum-brass junction respectively. Where TC is temp at freezing point of water and TH is temp at boiling point of water. Show that the steady-state temperature for (a) the aluminum-brass junction is:arrow_forward
- A sprue is 250 mm long. The velocity of the molten metal at the top of the sprue is 0.15 m/s. The middle diameter of the sprue is 10 mm. The total cavity of the "runner system + mold" is 2.5 × 106 mm³. The viscosity of the molten metal is 0.0022 kg/(m · s) and the density is 2700 kg/m³. According to given information i. For a proper sprue design, calculate the bottom diameter of the sprue ii. Find the velocity at the bottom of the sprue iii. Find the volumetric and mass flow rates at the bottom of the sprue iv. Find the required time to fill the mold completely v. Is the flow laminar, mixed or turbulent at the bottom of the sprue? P v? pg' 2g h+-+; = constant Q = A,V1 = A2V2 h2 h1 pVD Re A1 TST = Cm G) A2arrow_forwardVery pure liquid water can be subcooled at atmospheric pressure to temperatures well below 0 °C. Assume that 1 kg has been cooled as a liquid to -6 °C. A small ice crystal (of negligible mass) is added to “seed” the subcooled liquid. If the subsequent change occurs adiabatically at atmospheric pressure, what fraction of the system freezes and what is the final temperature? What is ΔStotal for the process, and what is its irreversible feature? The latent heat of fusion of water at 0 °C is 333.4 J/g, and the specific heat of subcooled liquid water is 4.226 J/g °C.arrow_forward8.2 From its definition and from the property values in Appendix 2, Table 13, calculate the coefficient of thermal expansion, , for saturated water at 403 K. Then compare your results with the value in the table.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
First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=NyOYW07-L5g;License: Standard youtube license