Consider the tea kettle in Example 2.10. Suppose that the kettle holds 1 kg of water (about 1 liter) and that the flame impinges on 0.02 m? of the bottom. (a) Find out how fast the water temperature is increasing when it reaches its boiling point, and calculate the temperature of the bottom of the kettle immediately below the water if the gases from the flame are at 500°C when they touch the bottom of the kettle. Assume that the heat capacitance of the aluminum kettle is negligible. (b) There is an old parlor trick in which one puts a paper cup of water over an open flame and boils the water without burning the paper (see Experiment 2.1). Explain this using an electrical analogy. [(a): dT/dt = 0.36°C/s.]

Consider the tea kettle in Example 2.10. Suppose that the kettle holds 1 kg of water (about 1 liter) and that the flame impinges on 0.02 m? of the bottom. (a) Find out how fast the water temperature is increasing when it reaches its boiling point, and calculate the temperature of the bottom of the kettle immediately below the water if the gases from the flame are at 500°C when they touch the bottom of the kettle. Assume that the heat capacitance of the aluminum kettle is negligible. (b) There is an old parlor trick in which one puts a paper cup of water over an open flame and boils the water without burning the paper (see Experiment 2.1). Explain this using an electrical analogy. [(a): dT/dt = 0.36°C/s.]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

Question

Physical configuration
Boiling water
Teakettle
Rr.
conv
Ricond
Rtpoiling
Thermal circuit
ΔΤ
Figure 2.19 Heat transfer through the bottom of a tea kettle.
Example 2.10
Estimate the overall heat transfer coefficient for the tea kettle shown
in Fig. 2.19. The hot gas of the flame convects heat to the thin alu-
minum. The heat is then conducted through the aluminum and finally
convected by boiling into the water. Neglect radiation from the flame.
SOLUTION. We need not worry about deciding which area to base A
on, in this case, because the area normal to the heat flux vector does
not change We simply write the heat flow

Consider the tea kettle in Example 2.10. Suppose that the kettle
holds 1 kg of water (about 1 liter) and that the flame impinges on
0.02 m? of the bottom. (a) Find out how fast the water temperature
is increasing when it reaches its boiling point, and calculate the
temperature of the bottom of the kettle immediately below the
water if the gases from the flame are at 500°C when they touch
the bottom of the kettle. Assume that the heat capacitance of the
aluminum kettle is negligible. (b) There is an old parlor trick in
which one puts a paper cup of water over an open flame and boils
the water without burning the paper (see Experiment 2.1). Explain
this using an electrical analogy. [(a): dT[dt = 0.36°C/s.]

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