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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
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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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
Transcribed Image Text: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.]
Transcribed Image Text: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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