(1) A steel plate with a thickness of 5cm and an initial temperature of 250 °C was suddenly placed in an air environment with a temperature of 20 °C. The heat transfer coefficient of convection between the wall of the steel plate and the air was h-100 W/(m²K), and the thermal conductivity of the steel plate was known to be λ-47 W/(m K) and the thermal diffusivity a=1.47x10 m²/s. Please calculate the temperature of the steel plate after 5 minutes.

(1) A steel plate with a thickness of 5cm and an initial temperature of 250 °C was suddenly placed in an air environment with a temperature of 20 °C. The heat transfer coefficient of convection between the wall of the steel plate and the air was h-100 W/(m²K), and the thermal conductivity of the steel plate was known to be λ-47 W/(m K) and the thermal diffusivity a=1.47x10 m²/s. Please calculate the temperature of the steel plate after 5 minutes.

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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Question

(1) A steel plate with a thickness of 5cm and an initial temperature of 250 °C was suddenly
placed in an air environment with a temperature of 20 °C. The heat transfer coefficient of
convection between the wall of the steel plate and the air was h=100 W/(m²K), and the thermal
conductivity of the steel plate was known to be λ=47 W/(mK) and the thermal diffusivity
a = 1.47 x 10³ m²/s. Please calculate the temperature of the steel plate after 5 minutes.

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