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Thermodynamics HW Solutions 337

Thermodynamics HW Solutions 337 - Chapter 4 Transient Heat...

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Chapter 4 Transient Heat Conduction Transient Heat Conduction in Semi-Infinite Solids 4-60C A semi-infinite medium is an idealized body which has a single exposed plane surface and extends to infinity in all directions. The earth and thick walls can be considered to be semi-infinite media. 4-61C A thick plane wall can be treated as a semi-infinite medium if all we are interested in is the variation of temperature in a region near one of the surfaces for a time period during which the temperature in the mid section of the wall does not experience any change. 4-62C The total amount of heat transfer from a semi-infinite solid up to a specified time t 0 can be determined by integration from = o t dt T t T Ah Q 0 ] ) , 0 ( [ where the surface temperature T (0, t ) is obtained from Eq. 4-22 by substituting x = 0. 4-63 The water pipes are buried in the ground to prevent freezing. The minimum burial depth at a particular location is to be determined. Assumptions 1 The temperature in the soil is affected by the thermal conditions at one surface only, and
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