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processing plant is convectively heating a solid half-sphere of radius of 12 cm made of pure aluminum (k 237 W/m-K) by placing it on an nsulated surface as shown in Fig. 1. It is exposed to hot exhaust gas at 300°C with a convection coefficient of 180 W/m²-K. Is the lumped capacitance approximation valid? Figure 1: Half-sphere f the plant wants to heat the half-sphere of the previous problem keeping t on an insulated surface as shown in Fig. 2, what is the maximum possible convection coefficient allowed to keep the temperature of the half-sphere uniform during the heating process? Figure 2: Inverted half-sphere

processing plant is convectively heating a solid half-sphere of radius of 12 cm made of pure aluminum (k 237 W/m-K) by placing it on an nsulated surface as shown in Fig. 1. It is exposed to hot exhaust gas at 300°C with a convection coefficient of 180 W/m²-K. Is the lumped capacitance approximation valid? Figure 1: Half-sphere f the plant wants to heat the half-sphere of the previous problem keeping t on an insulated surface as shown in Fig. 2, what is the maximum possible convection coefficient allowed to keep the temperature of the half-sphere uniform during the heating process? Figure 2: Inverted half-sphere

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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Answer the problem "If the plant wants to heat the half-sphere of the previous problem keeping
it on an insulated surface as shown in Fig. 2..." (use the other problem as reference)

A processing plant is convectively heating a solid half-sphere of radius of 12 cm made of pure aluminum (k 237 W/m-K) by placing it on an insulated surface as shown in Fig. 1. It is exposed to hot exhaust gas at 300°C with a convection coefficient of 180 W/m².K. Is the lumped capacitance approximation valid? Figure 1: Half-sphere If the plant wants to heat the half-sphere of the previous problem keeping it on an insulated surface as shown in Fig. 2, what is the maximum possible convection coefficient allowed to keep the temperature of the half-sphere uniform during the heating process? Figure 2: half-sphere Inverted
Transcribed Image Text:A processing plant is convectively heating a solid half-sphere of radius of 12 cm made of pure aluminum (k 237 W/m-K) by placing it on an insulated surface as shown in Fig. 1. It is exposed to hot exhaust gas at 300°C with a convection coefficient of 180 W/m².K. Is the lumped capacitance approximation valid? Figure 1: Half-sphere If the plant wants to heat the half-sphere of the previous problem keeping it on an insulated surface as shown in Fig. 2, what is the maximum possible convection coefficient allowed to keep the temperature of the half-sphere uniform during the heating process? Figure 2: half-sphere Inverted
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