A 1 m x 1 m plate made of brass (k = 70 W/mK) with a thickness of 5 cm is used a heating element (see Fig. Q3). Heat is generated uniformly within the plate though a mesh of thin electrical wires. The total power of the heating elements is 1900 W. To test this plate, it is hung vertically in a room and the surface at x = 0 m is kept insulated. Measurements from a thermal camera show that the temperature on the surface at x = 5 cm is 250°C. Brass plate T = 250°C L =5 cm Fig. Q3: A hot vertical brass plate. a) Starting from the general conduction equation, express the simplified differential equation and state the boundary conditions for heat conduction through the plate. b) Obtain a relation for the variation in temperature through the thickness of the plate by solving the differential equation. c) Calculate the temperature on the insulated surface side of the plate.

A 1 m x 1 m plate made of brass (k = 70 W/mK) with a thickness of 5 cm is used a heating element (see Fig. Q3). Heat is generated uniformly within the plate though a mesh of thin electrical wires. The total power of the heating elements is 1900 W. To test this plate, it is hung vertically in a room and the surface at x = 0 m is kept insulated. Measurements from a thermal camera show that the temperature on the surface at x = 5 cm is 250°C. Brass plate T = 250°C L =5 cm Fig. Q3: A hot vertical brass plate. a) Starting from the general conduction equation, express the simplified differential equation and state the boundary conditions for heat conduction through the plate. b) Obtain a relation for the variation in temperature through the thickness of the plate by solving the differential equation. c) Calculate the temperature on the insulated surface side of the plate.

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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