Given a plate with a thickness of 10 cm and an area of 1 m^2, the bottom surface of the plate is insulated, and the upper surface is exposed to heat conduction. The surface temperature of the plate is 100 °C. The plate generates 400 kW/m^3 of heat. The heat conduction coefficient of the plate is 50 W/m.°C. Assuming one-dimensional heat transfer; a) Determine the differential equation and boundary conditions in the plate under steady conditions. Solve the differential equation to find the temperature distribution. b) Calculate the maximum temperature. c) If the heat transfer coefficient of the environment where the plate is located is 500 W/m^2.°C, calculate the ambient temperature.
Given a plate with a thickness of 10 cm and an area of 1 m^2, the bottom surface of the plate is insulated, and the upper surface is exposed to heat conduction. The surface temperature of the plate is 100 °C. The plate generates 400 kW/m^3 of heat. The heat conduction coefficient of the plate is 50 W/m.°C. Assuming one-dimensional heat transfer; a) Determine the differential equation and boundary conditions in the plate under steady conditions. Solve the differential equation to find the temperature distribution. b) Calculate the maximum temperature. c) If the heat transfer coefficient of the environment where the plate is located is 500 W/m^2.°C, calculate the ambient temperature.
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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Given a plate with a thickness of 10 cm and an area of 1 m^2, the bottom surface of the plate is insulated, and the upper surface is exposed to heat conduction. The surface temperature of the plate is 100 °C. The plate generates 400 kW/m^3 of heat. The heat conduction coefficient of the plate is 50 W/m.°C. Assuming one-dimensional heat transfer;
a) Determine the differential equation and boundary conditions in the plate under steady conditions. Solve the differential equation to find the temperature distribution. b) Calculate the maximum temperature. c) If the heat transfer coefficient of the environment where the plate is located is 500 W/m^2.°C, calculate the ambient temperature.
Transcribed Image Text:X
10 cm
ätaşınım
Yalıtım
Ty= 100 °C
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