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analysis of transient heat conduction in different geometries - ethesis ...

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4.2 HEAT GENERATION FOR BOTH SLAB AND TUBE<br />

Fig (4.5) depicts the variation <strong>of</strong> temperature with time for various <strong>heat</strong> generation parameters<br />

for a slab. This fig conta<strong>in</strong>s Biot number as constant. With higher value <strong>of</strong> <strong>heat</strong> generation<br />

parameter, the variation <strong>of</strong> temperature <strong>in</strong>side the tube with time is less as compared to lower<br />

values <strong>of</strong> <strong>heat</strong> generation parameters. Fig (4.6) shows the variation <strong>of</strong> temperature with time for<br />

various Biot numbers, hav<strong>in</strong>g constant <strong>heat</strong> generation parameter for a slab. With lower value <strong>of</strong><br />

Biot numbers, the temperature <strong>in</strong>side the tube does not vary with time. As the Biot number<br />

<strong>in</strong>creases, the temperature varies more with <strong>in</strong>crease <strong>of</strong> time.<br />

Dimensionless temperature (θ)<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

G=5<br />

G=4<br />

G=3<br />

G=2<br />

G=1<br />

1 2 3<br />

46<br />

G=10<br />

Dimensionless time (τ)<br />

B=1<br />

G=1<br />

G=2<br />

G=3<br />

G=4<br />

G=5<br />

G=10<br />

Fig4.5 Average dimensionless temperature versus dimensionless time <strong>in</strong> a slab with constant<br />

Biot number for <strong>different</strong> <strong>heat</strong> generation

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