Chapter 5 Steady and unsteady diffusion
Chapter 5 Steady and unsteady diffusion
Chapter 5 Steady and unsteady diffusion
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18 CHAPTER 5. STEADY AND UNSTEADY DIFFUSION<br />
−Q<br />
(x ,x ,x +3L)<br />
1<br />
2<br />
3<br />
+Q<br />
(x ,x ,x +3L)<br />
1<br />
2<br />
+Q<br />
(x ,x ,x +2L)<br />
1<br />
2<br />
3<br />
+Q<br />
(x ,x ,x +2L)<br />
1<br />
2<br />
3<br />
−Q<br />
(x ,x ,x +L)<br />
1<br />
2<br />
3<br />
+Q<br />
(x ,x ,x +L)<br />
1<br />
2<br />
3<br />
T=0<br />
00000000000000<br />
11111111111111<br />
+Q<br />
(x ,x ,x )<br />
1<br />
2<br />
3<br />
L<br />
j=0<br />
3<br />
00000000000000<br />
11111111111111<br />
+Q<br />
(x ,x ,x )<br />
1<br />
2<br />
3<br />
L<br />
00000000000000<br />
11111111111111<br />
−Q<br />
(x ,x ,x −L)<br />
1<br />
2<br />
3<br />
00000000000000<br />
11111111111111<br />
+Q<br />
(x ,x ,x −L)<br />
1<br />
2<br />
3<br />
+Q<br />
(x ,x ,x −2L)<br />
1<br />
2<br />
3<br />
+Q<br />
(x ,x ,x −2L)<br />
1<br />
2<br />
3<br />
−Q<br />
(x ,x ,x −3L)<br />
1<br />
2<br />
3<br />
+Q<br />
(x ,x ,x −3L)<br />
1<br />
2<br />
3<br />
(a)<br />
(b)<br />
Figure 5.8: Greens functions for source in a channel of finite width with (a)<br />
zero temperature conditions at the walls <strong>and</strong> (b) zero flux conditions at the<br />
walls.