Laplace transform isotherm .pdf - University of Hertfordshire ...
Laplace transform isotherm .pdf - University of Hertfordshire ...
Laplace transform isotherm .pdf - University of Hertfordshire ...
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5.7 Comparison <strong>of</strong> the position <strong>of</strong> the melting front for the cases<br />
when the wall temperature is held steady and when there is<br />
convection across the wall, Bi = 50, in example 5.4 . . . . . . 101<br />
6.1 Diagram to show a square region <strong>of</strong> water, insulated on two<br />
parallel sides, in example 6.1 . . . . . . . . . . . . . . . . . . 104<br />
6.2 The position <strong>of</strong> the melting front and <strong>isotherm</strong> with temper-<br />
ature u = −8 with increasing time in example 6.1 . . . . . . . 110<br />
6.3 The position <strong>of</strong> the melting front and <strong>isotherm</strong> with temper-<br />
ature u = −8 with increasing time in example 6.2 . . . . . . . 113<br />
7.1 Diagram showing an <strong>isotherm</strong> which does not exist at all x<br />
grid points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118<br />
7.2 Diagram showing possible positions <strong>of</strong> an <strong>isotherm</strong> at times t<br />
and t + δt . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123<br />
7.3 Diagram showing the positions <strong>of</strong> the interface at various<br />
times. The dotted line shows the position at t = 0.0461 ob-<br />
tained from the Poots one-parameter method . . . . . . . . . 127<br />
7.4 Diagram showing the final positions <strong>of</strong> the <strong>isotherm</strong>s at t = 0.45127<br />
7.5 Diagram showing the position <strong>of</strong> the <strong>isotherm</strong> with tempera-<br />
ture u = 0.1 at time t = 0.0761 in example 7.2 . . . . . . . . . 130<br />
7.6 Diagram showing the position <strong>of</strong> the <strong>isotherm</strong> with tempera-<br />
ture u = 0.5 at time t = 0.0761 in example 7.2 . . . . . . . . . 131<br />
7.7 Diagram showing the position <strong>of</strong> the freezing front with tem-<br />
perature u = 1 at time t = 0.0761 in example 7.2 . . . . . . . 131<br />
7.8 Diagram showing the position <strong>of</strong> the <strong>isotherm</strong> with tempera-<br />
ture u = 0.1 at time t = 0.1661 in example 7.2 . . . . . . . . . 132<br />
7.9 Diagram showing the position <strong>of</strong> the <strong>isotherm</strong> with tempera-<br />
ture u = 0.5 at time t = 0.1661 in example 7.2 . . . . . . . . . 132<br />
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