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 steadystate temperature of the wall?
c) Compute and plot the steadystate 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.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '10
 DEGRAZIA
 Thermodynamics, pH, Heat, Heat Transfer, TI, inner surface, negligible temperature gradients

Click to edit the document details