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
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Chapter 3, Problem 3.121P
(a)
To determine
Expression for the measurement error
(b)
To determine
The measurement error for total length ratios 0.225, 0.425 and 0.625.
(c)
To determine
To plot: the effect of thermal conductivity and water velocity on temperature error.
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A cylindrical electrical heating element is used to heat up a baking oven. The heating element bears a voltage of 120 V/m, and has an electrical resistance of 1000 Ω/m. A ceramic pipe of inside radius rin = 2 mm, and outside radius rout = 5 mm encases the heating element. Thermal conductivity of the ceramic is k = 0.2 W/m-K. Given that the oven air temperature is T∞ = 180oC and convection coefficient h = 10 W/m2-K, find the temperature on the inside of the ceramic pipe.
3
• A piece of chromium steel of length 7.4cm (density= 8780kg/m³,
k=50 W/m K) and specific heat capacity (C,=440 J/kg K) with mass
1.27 kg is rolled into a solid cylinder and heated to a temperature
of 600 °C and quenched in oil at 36 °C. Show that the lumped
capacitance system analysis is applicable and find the temperature of
the cylinder after 4min. What is the total heat transfer during this
period? You may take the convective heat transfer coefficient
between the oil and cylinder at 280 W/m2K.
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Example: current of 200 A is passed through a stainless-steel wire [k = 19 W/m · ◦C] 3 mm in diameter. he resistivity of the steel may be taken as 70 μ · cm, and the length of the wire is 1 m. The ire is submerged in a liquid at 110 ◦C and experiences a convection heat-transfer coefficient of k W/m2 · ◦C. Calculate the center temperature of the wire.
Chapter 3 Solutions
Introduction to Heat Transfer
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