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? (c) Determine the wall temperature as a function of time.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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?

(c) Determine the wall temperature as a function of time.

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
Transcribed Image Text: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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