Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470501979
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
Videos
Textbook Question
Chapter 1, Problem 1.64P
A spherical, stainless steel (AISI 302) canister is used tostore reacting chemicals that provide for a uniform heat flux
(a) Assuming negligible temperature gradients in the canister wall and a constant heat flux
(b) What is the steady-state temperature of the wall?
(c) The convection coefficient depends on the velocity associated with fluid flow over the canister and whether the wall temperature is large enough to induce boiling in the liquid. Compute and plot the steady-state temperature as a function of h for the range
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An egg with mean diameter of 40 mm and initially at 20 °C is placed in a boiling
water for (4min) and found to be boiled to consumers taste. For how long
should a similar egg for same consumer be boiled when taken from a
refrigerator at 5 °C.
Take the following properties for egg:
k = 10 Wim. °C
and the heat transfer coefficient (h = 100 W/m. "C)
.p= 1200 kJ / kg. "C,
C = 2 kJ/ kg. "C,
An egg with mean diameter of 40 mm and initially at 20 °C is placed in a boiling
water for (4min) and found to be boiled to consumers taste. For how long
should a similar egg for same consumer be boiled when taken from a
refrigerator at 5 °C.
Take the following properties for egg:
k = 10 W/m. °C
, p= 1200 kJ / kg. °C
C = 2 kJ / kg . °C,
and the heat transfer coefficient (h = 100 W/m?. °C)
A spherical, stainless steel (AISI 302) canister is used to store reacting chemicals that provide for a uniform heat flux q”i to its inner surface. The canister is suddenly submerged in a liquid bath of temperature T∞ i, where Ti is the initial temperature of the canister wall.
(a) Assuming negligible temperature gradients in the canister wall and a constant heat flux , develop an equation that governs the variation of the wall temperature with time during the transient process. What is the initial rate of change of the wall temperature if q”I = 105 W/m2?
(b) What is the steady-state temperature of the wall?
(c) The convection coefficient depends on the velocity associated with fluid flow over the canister and whether the wall temperature is large enough to induce boiling in the liquid. Compute and plot the steady-state temperature as a function of h for the range 100 ≤ h ≤ 10,000 W/m2 ∙ K. Is there a value of h below which operation would be unacceptable?
Chapter 1 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 1 - The thermal conductivity of a sheet of rigid,...Ch. 1 - The heat flux that is applied to the left face of...Ch. 1 - A concrete wall, which has a surface area of 20m2...Ch. 1 - The concrete slab of a basement is 11 in long. 8...Ch. 1 - Consider Figure 1.3. The heat flux in the...Ch. 1 - The heal flux through a wood slab 50 mm thick,...Ch. 1 - The inner and outer surface temperatures of a...Ch. 1 - A thermodynamic analysis of a proposed Brayton...Ch. 1 - A glass window of width W=1m and height H=2m is 5...Ch. 1 - A freezer compartment consists of a cubical cavity...
Ch. 1 - The heat flux that is applied to one face of a...Ch. 1 - An inexpensive food and beverage container is...Ch. 1 - What is the thickness required of a masonry wall...Ch. 1 - A wall is made from an inhomogeneous...Ch. 1 - The 5-mm-thick bottom of a 200-mm-diameter panmay...Ch. 1 - A square silicon chip (k=150W/mK) is of width...Ch. 1 - For a boiling process such as shown in Figure 1.5...Ch. 1 - You’ve experienced convection cooling if you’ve...Ch. 1 - Air at 40°C flows over a long, 25-mm-diameter...Ch. 1 - A wall has inner and outer surface temperatures of...Ch. 1 - An electric resistance heater is embedded in a...Ch. 1 - The free convection heat transfer coefficient on a...Ch. 1 - A transmission case measures W=0.30m on a sideand...Ch. 1 - A cartridge electrical heater is shaped as a...Ch. 1 - A common procedure for measuring the velocity of...Ch. 1 - A square isothermal chip is of width w=5mm on...Ch. 1 - The temperature controller for a clothes dryer...Ch. 1 - An overhead 25-m-long, uninsulated industrial...Ch. 1 - Under conditions for which the same room...Ch. 1 - A spherical interplanetary probe of 0.5-m diameter...Ch. 1 - An instrumentation package has a spherical outer...Ch. 1 - Consider the conditions of Problem 1.22. However,...Ch. 1 - If TsTsur in Equation 1.9, the radiation heat...Ch. 1 - A vacuum system, as used ¡n sputtering...Ch. 1 - An electrical resistor is connected to a battery,...Ch. 1 - Pressurized water (pin=10bar,Tin=110C) enters...Ch. 1 - Consider the tube and inlet conditions of Problem...Ch. 1 - An internally reversible refrigerator has a...Ch. 1 - A household refrigerator operates with cold-...Ch. 1 - Chips of width L=15mm on a side are mounted to...Ch. 1 - Consider the transmission case of Problem 1...Ch. 1 - One method for growing thin silicon sheets for...Ch. 1 - Heat is transferred by radiation and convection...Ch. 1 - Radioactive wastes are packed in a long,...Ch. 1 - An aluminum plate 4 mm thick is mounted in a...Ch. 1 - A blood warmer is to be used during the...Ch. 1 - Consider a carton of milk that is refrigerated at...Ch. 1 - Prob. 1.48PCh. 1 - Liquid oxygen, which has a boiling into of 90 K...Ch. 1 - The emissivity of galvanized steel sheet, a...Ch. 1 - Three electric resistance heaters of length...Ch. 1 - A hair dryer may be idealized as a circular duct...Ch. 1 - In one stage of an annealing process, 304...Ch. 1 - Convection ovens operate on the principle of...Ch. 1 - Annealing, an important step ¡n semiconductor...Ch. 1 - In the thermal processing of semiconductor...Ch. 1 - A furnace tor processing semiconductor materials...Ch. 1 - Prob. 1.58PCh. 1 - Consider the wind turbine of Example 1.3. To...Ch. 1 - Consider the conducting rod of Example 1.4...Ch. 1 - A long bus bar (cylindrical rod used for making...Ch. 1 - A 50mm45mm20mm cell phone chargerhas a surface...Ch. 1 - A spherical, stainless steel (AISI 302) canister...Ch. 1 - A freezer compartment is covered with a...Ch. 1 - A vertical slab of Wood’s metal is joined to a...Ch. 1 - A photovoltaic panel of dimension 2m4m isinstalled...Ch. 1 - Following the hot vacuum forming of a...Ch. 1 - Prob. 1.69PCh. 1 - A computer consists of an array of five printed...Ch. 1 - Prob. 1.71PCh. 1 - The roof of a car in a parking lot absorbs a solar...Ch. 1 - Consider the conditions of Problem 1.22,but the...Ch. 1 - Most of the energy we consume as food ¡s converted...Ch. 1 - Prob. 1.75PCh. 1 - The wall of an oven used to cure plastic parts is...Ch. 1 - An experiment to determine the convection...Ch. 1 - A thin electrical heating element provides a...Ch. 1 - A rectangular forced air healing duct is suspended...Ch. 1 - Consider the steam pipe of Example 1.2. The...Ch. 1 - During its manufacture, plate glass at 600°C is...Ch. 1 - The curing press of Example 1.9 involves exposure...Ch. 1 - The diameter and surface emissivity of an...Ch. 1 - Prob. 1.84PCh. 1 - A solar flux of 700W/m2K is incident on a...Ch. 1 - In considering the following problems involving...
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
- A cylindrical liquid oxygen (LOX) tank has a diameter of 1.22 m, a length of 6.1 m, and hemispherical ends. The boiling point of LOX is -179.4C. An insulation is sought that will reduce the boil-off rate in the steady state to no more than 11.3 kg/h. The heat of vaporization of LOX is 214 kJ/kg. If the thickness of this insulation is to be no more than 7.5 cm, what would the value of its thermal conductivity have to be?arrow_forwardIndirect Cooling With Liquid Nitrogen. You are designing a system to cool an insulated silver plate of dimensions 2.00 cm × 2.00 cm x 0.40 cm. One end of a thermally insulated copper wire (diameter D = 2.70 mm and length L = 12.0 cm) is dipped into a vat of liquid nitrogen (T = 77.2 K), and the other end is attached to the bottom of the silver plate. (a) If the silver plate starts at room temperature (73.0°F), what is the initial rate of heat flow between the plate and the liquid nitrogen reservoir? (b) Assuming the rate of heat flow calculated in part (a), estimate the temperature of the silver plate after 30.0 seconds.arrow_forwardure f) A steel disc (k = 56.7 W/m.K, p = 7854 kg/m³, c = 487 J/kg. K) 30 cm in diameter and 10 cm thick, initially at uniform temperature of 265 °C is immersed in liquid at -15 °C. The convective coefficients on ends and on cylindrical side are 340 and 1420 W/m².K, respectively. What is the temperature at (a) center of disc, and (b) surface at centre of one end (c) Calculate heat transfer after 5 min have elapsed.arrow_forward
- Need help I'm not sure where I went wrong on thisarrow_forwardA spherical, stainless steel (AISI 302) canister is used to store reacting chemicals that provide for a uniform heat flux qi'' to its inner surface. The canister is suddenly submerged in a liquid bath of temperature Tambient < Ti, where Ti is the initial temperature of the canister wall. (a) Assuming negligible temperature gradients in the canister wall and a constant heat flux qi'', develop an equation that governs the variation of the wall temperature with time during the transient process. What is the initial rate of change of the wall temperature if qi'' = 105 W/m^2? (b) What is the steady-state temperature of the wall? (c) Determine the wall temperature as a function of time.arrow_forwardAcertain superinsulation material having a thermal conductivity of 2*10^-4 W/m*^ C is used to insulate a tank of liquid nitrogen that is maintained at - 196 degrees * C : 199 kJ is required to vaporize each kilogram mass of nitrogen at this temperature. Assuming that the tank is a sphere having an inner diameter (ID) of 0.52 m, estimate the amount of nitrogen vaporized per day for an insulation thickness of 2.5 cm and an ambient temperature of 21 degrees * C . Assume that the outer temperature of the insulation is 21 degrees * C .arrow_forward
- A 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_forwardAn ordinary egg can be approximated as a 5.5-cm-diameter sphere whose thermal conductivity of roughly k = 0.6- W mk overall density of p = 1000; and heat capacity of C₂ = 3000- kg m² The egg is initially at a uniform temperature of T₂ = 10°C and is dropped into boiling water at T.. = 90°C W - determine how long it will take for the egg to m²K Taking the convective heat transfer coefficient to be h reach T = 70°C. In solving the problem, please follow the steps below. For the Lump Model In solving this problem, please use the lump model method (ignoring the requirement of small Biot number and discuss the outcomes, 1. 2. Compute the characteristic length Lc Compute the volume and surface area of the sphere (as the egg model) Vol As 3. Compute the diffusivity α = = 10- k p Cp = J kgk Compute non-dimensional excessive temperature 0 = h Lc k 4. Compute the Biot number using the characteristic length found above Bi = T-Too 5. Ti-Too 6. Calculate the Fourier number from the equation =…arrow_forwardQUESTION 2 A stainless steel sphere AISI 316 (k = 18.3 W/m.°C, C, = 550 J/kg.°C and p = 8238 kg/m) is initially u %3D The sphere is suddenly placed in a controlled temperature water bath (k = 0.6 W/m.°C, C, = 4187 J/kg. with h = 146 W/m2.°C. If the characteristic length for the sphere Lc = 0.05, then Bi # is around !3! %3D !! %3D O 12.17 O None of the options. O 0.4 O 0.006 O 0.08arrow_forward
- I need the answer as soon as possiblearrow_forwardFor what situations will the lumped capacitance method be valid if a solid is in contact with a fluid? Circle all appropriate answers. (a) The resistance to conduction within the solid is small compared to the resistance to convection due to a fluid. (b) The temperature gradient within the solid is large. (c) The Biot number is small (less than 0.1). (d) All of the above. (e) None of the abovearrow_forward43% uo 7:52 * ZAIN IQ I. sheet No.3.pdf Homework 01-03 -2021 one-dimensional heat transfer and disregarding radiation, determine the rate of heat transfer through the wall. Q4/ Steam at Te1-320°C flows in a cast iron pipe (k=80W/m.°C) whose inner and outer diameters are D =5cm, and D=5.5cm, respectively. The pipe is covered with 3 cm thick glass wool insulation with k=0.05W/m.°C. Heat is lost to the surroundings at T02=5°C_by natural convection and radiation, with a combined heat transfer coefficient to be h,=18W/m.C. Taking the heat transfer coefficient inside the pipe to be h,=60W/m.C, determine the rate of heat loss from the steam per unit length of the pipe. Also determine the temperature drops across the pipe shell and the insulation. 05/ Determine the overall heat transfer coefficient U based on the outer surface of a D=2.5cm, and D=3.34 cm steel pipe (k=54.0W/m.°C) for the following conditions: inside and outside heat transfer coefficients are 1200W/m."C. and 2000W/m."C…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