Homework 1 solutions

# Homework 1 solutions - Homework 1 due Friday 8/27 1 In...

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rho cp ro 3 ri 3 - ( 29 q ri 2 h ro 2 Ti Tinf - ( ) - 0.063 - = Homework 1 – due Friday, 8/27 1. In class 1, we discussed a spherical, stainless steel (AISI 302) canister that was used to store reacting chemicals that provide for a uniform heat flux, q” , to its inner surface. If the canister is suddenly submerged in a liquid bath of temperature T < T i, where T i is the initial temperature of the canister wall. Assume negligible temperature gradients in the canister wall. (30 pts) Values: T = 350 K T i = 500 K h = 500 r o = 0.4 m r i = 0.3 m a) develop an equation for the variation of the wall temperature with time. What is the initial rate of change of the wall temperature if q ” = 10 5 W/m 2 ? b) what is the steady-state temperature of the wall? c) Compute and plot the steady-state temperature as a function of h for the range 100 < h < 10,000 W/m 2 -K. Is there a value of h below which operation would be unacceptable? Hint: remember which processes are volumetric and which involve surface area.

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Homework 1 solutions - Homework 1 due Friday 8/27 1 In...

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