Q1: A spherical container of inner radius ri=40 cm, outer radius r2-41 cm (k=1.2 W/m°C) is used to store hot water and keep it at 100°C. The inner surface of the container is assumed to remain at 100°C. The outer surface of the container is wrapped with a 500 W electric heater and the outer surface of the heater is insulated. Assume that 10 percent of the heat generated in the heater is lost through the insulation. For steady one-dimensional heat conduction: (a) express the differential equation and boundary conditions, (b) obtain an equation for T(r), (c) calculate the outer surface temperature of the container.

Q1: A spherical container of inner radius ri=40 cm, outer radius r2-41 cm (k=1.2 W/m°C) is used to store hot water and keep it at 100°C. The inner surface of the container is assumed to remain at 100°C. The outer surface of the container is wrapped with a 500 W electric heater and the outer surface of the heater is insulated. Assume that 10 percent of the heat generated in the heater is lost through the insulation. For steady one-dimensional heat conduction: (a) express the differential equation and boundary conditions, (b) obtain an equation for T(r), (c) calculate the outer surface temperature of the container.

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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