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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.

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