Answered: Find the center temperature of the…

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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Consider a cubic block whose sides are 5 cm long and a cylindrical block whose height and diameter are also 5 cm. Both blocks are initially at 20 °C and are made of granite (k = 2.5 W/m·°C and α = 1.15 × 10⁻⁶ m²/s). Now both blocks are exposed to hot gases at 500°C in a furnace on all of their surfaces with a heat transfer coefficient of 40 W/m²·°C.

Find the center temperature of the cylindrical block after 19.1 min.

The center temperature of the cylindrical block is

5 cm
5 cm
T₁= 20°C
5 cm
Hot gases, 500°C
-5 cm
T₁ = 20°C
5 cm

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