Answered: A spherical, stainless steel (AISI 302)…

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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A spherical, stainless steel (AISI 302) canister is used to store reacting chemicals that provide for a uniform heat flux qi'' to its inner surface. The canister is suddenly submerged in a liquid bath of temperature Tambient < Ti, where Ti is the initial temperature of the canister wall.

(a) Assuming negligible temperature gradients in the canister wall and a constant heat flux qi'', develop an equation that governs the variation of the wall temperature with time during the transient process. What is the initial rate of change of the wall temperature if qi'' = 105 W/m^2?

(b) What is the steady-state temperature of the wall?

Canister
T₁= 500 K
p = 8055 kg/m³
510 J/kg-K
Reacting chemicals
r₂ = 0.6 m
11
Bath
r₁= 0.5 m
T = 300 K
h = 500 W/m².K

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