Chapter 4 Transient Heat ConductionTransient Heat Conduction in Semi-Infinite Solids 4-60CA 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. 4-61CA 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. 4-62CThe total amount of heat transfer from a semi-infinite solid up to a specified time t0can be determined by integration from ∫∞−=otdtTtTAhQ0]),0([where the surface temperature T(0,t) is obtained from Eq. 4-22 by substituting x = 0. 4-63The water pipes are buried in the ground to prevent freezing. The minimum burial depth at a particular location is to be determined. Assumptions1The temperature in the soil is affected by the thermal conditions at one surface only, and
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