analysis of transient heat conduction in different geometries - ethesis ...
analysis of transient heat conduction in different geometries - ethesis ...
analysis of transient heat conduction in different geometries - ethesis ...
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Table 4.2 Comparison <strong>of</strong> modified Biot number aga<strong>in</strong>st various temperature<br />
pr<strong>of</strong>iles for a slab<br />
Si<br />
No<br />
Pr<strong>of</strong>ile Value <strong>of</strong> P<br />
2<br />
1 θ = ( τ) + ( τ) + ( τ)<br />
p a0 a1 x a2 x<br />
2 3 2<br />
2 θ = a0 + a1( x − x) + a2( x −x<br />
)<br />
4 2 3<br />
3 θ = a0 + a1( x − x ) + a2( x −x)<br />
4 2 2<br />
4 θ = a0 + a1( x − x ) + a2( x −x)<br />
4 5 3<br />
5 θ = a0 + a1( x − x) + a2( x −x<br />
)<br />
4 3 4<br />
6 θ = a0 + a1( x − x ) + a2( x −x)<br />
52<br />
3B<br />
P =<br />
B + 3<br />
13B<br />
P =<br />
13+ 12B<br />
30B<br />
P =<br />
30 + 17B<br />
30B<br />
P =<br />
30 + 13B<br />
24B<br />
P =<br />
24 + 13B<br />
20B<br />
P =<br />
20 + 21B<br />
Table 4.3 Comparison <strong>of</strong> modified Biot number aga<strong>in</strong>st various temperature<br />
pr<strong>of</strong>iles for a cyl<strong>in</strong>der<br />
Si<br />
No.<br />
Pr<strong>of</strong>ile Value <strong>of</strong> P<br />
2<br />
1 θ = ( τ) + ( τ) + ( τ)<br />
p a0 a1 x a2 x<br />
2 ( )<br />
θ = a + a x − x + a x<br />
2 2<br />
0 1 2<br />
3 ( )<br />
θ = a + a x − x + a x<br />
3 3<br />
0 1 2<br />
4 3 2<br />
4 θ = a0 + a1( x − x) + a2( x −x<br />
)<br />
8B<br />
P =<br />
B + 4<br />
4B<br />
P =<br />
B + 2<br />
30B<br />
P =<br />
3B+ 15<br />
10B<br />
P =<br />
4B+ 5