Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN: 9781305387102
Author: Kreith, Frank; Manglik, Raj M.
Publisher: Cengage Learning
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Chapter 2, Problem 2.28P
Heat is generated uniformly in the fuel rod of a nuclear reactor. The rod has a long, hollow cylindrical shape with its inner and outer surfaces at temperatures of
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Q1
For one -dimension heat transfer conduction consider a shielding wall for a nuclear
reactor. The wall receives a gamma-ray flux such that heat is generated within the
wall according to the relation
9x = 4, ( 2X+3)
Where q0 is the heat generation at the inner face of the wall exposed to the
ray Flux. Using this relation for heat generation, derive an expression for the
temperature distribution in a wall of thickness L, where the inside and outside
temperatures are maintained at Ti and TO, respectively. Also, obtain temperature in
the wall at X= 0.1 m. Assume, Ti-100 °C, TO=200 °C, L= 0.2 m, K = 40 w/ m.
°C, and q0 = 50 W
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gamma-
%3D
I 90
y FLUX
То
Ti
Question 5:
Z=62
a. An iron sphere of mass (Z + 300)g is kept in a container having boiling water (100 °C). If the
temperature of the sphere is 25.5°C, how much heat energy is absorbed by the iron sphere?
Consider the specific heat of iron as 452J/kg.
b. The wall of an industrial furnace is constructed from (Z + 3) cm thick fireclay brick having a
thermal conductivity of 1.7 W/mK. Measurements made during steady-state operation reveal
temperatures of 530°C and 375°C at the inner and outer surfaces, respectively. Find the rate
of heat loss through a wall which is (Z + 5) cm by (Z + 3) m on a side.
The inner diameter ri, the outer diameter r0, is given for a hollow long, constant internal energy production cylinder with constant heat generation; internal and external temperatures are given as Ti and T0, respectively. Obtain the expression for the temperature distribution.
Chapter 2 Solutions
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
Ch. 2 - A plane wall, 7.5 cm thick, generates heat...Ch. 2 -
2.2 A small dam, which is idealized by a large...Ch. 2 - 2.3 The shield of a nuclear reactor is idealized...Ch. 2 - A plane wall 15 cm thick has a thermal...Ch. 2 - 2.5 Derive an expression for the temperature...Ch. 2 - A plane wall of thickness 2L has internal heat...Ch. 2 - 2.7 A very thin silicon chip is bonded to a 6-mm...Ch. 2 - 2.9 In a large chemical factory, hot gases at 2273...Ch. 2 - 2.14 Calculate the rate of heat loss per foot and...Ch. 2 - 2.15 Suppose that a pipe carrying a hot fluid with...
Ch. 2 - Prob. 2.16PCh. 2 - Estimate the rate of heat loss per unit length...Ch. 2 - The rate of heat flow per unit length q/L through...Ch. 2 - A 2.5-cm-OD, 2-cm-ID copper pipe carries liquid...Ch. 2 - A cylindrical liquid oxygen (LOX) tank has a...Ch. 2 - Show that the rate of heat conduction per unit...Ch. 2 - Derive an expression for the temperature...Ch. 2 - Heat is generated uniformly in the fuel rod of a...Ch. 2 - 2.29 In a cylindrical fuel rod of a nuclear...Ch. 2 - 2.30 An electrical heater capable of generating...Ch. 2 - A hollow sphere with inner and outer radii of R1...Ch. 2 - 2.34 Show that the temperature distribution in a...Ch. 2 -
2.38 The addition of aluminum fins has been...Ch. 2 - The tip of a soldering iron consists of a 0.6-cm-...Ch. 2 - One end of a 0.3-m-long steel rod is connected to...Ch. 2 - Both ends of a 0.6-cm copper U-shaped rod are...Ch. 2 - 2.42 A circumferential fin of rectangular cross...Ch. 2 - 2.43 A turbine blade 6.3 cm long, with...Ch. 2 - 2.44 To determine the thermal conductivity of a...Ch. 2 - 2.45 Heat is transferred from water to air through...Ch. 2 - 2.46 The wall of a liquid-to-gas heat exchanger...Ch. 2 - Prob. 2.47PCh. 2 - The handle of a ladle used for pouring molten lead...Ch. 2 - 2.50 Compare the rate of heat flow from the bottom...Ch. 2 - 2.51 Determine by means of a flux plot the...Ch. 2 - Prob. 2.52PCh. 2 - Determine the rate of heat transfer per meter...Ch. 2 - Prob. 2.54PCh. 2 - 2.55 A long, 1-cm-diameter electric copper cable...Ch. 2 - Prob. 2.56PCh. 2 - Prob. 2.57PCh. 2 - Prob. 2.58P
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