Graduate Thesis Or Dissertation
 

Transient heat and mass transfer in soils in the vicinity of heated porous pipes

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  • Differential equations governing the combined heat and mass transfer in soils are developed. Transient heat, liquid and vapor transfer with phase change is considered. The liquid transfer is treated as a function of the hydraulic conductivity and the gradient of suction potential. The suction potential is considered a function of moisture content and temperature. The hydraulic conductivity is considered a function of moisture content. Vapor transfer is treated as a diffusion process. Vapor density is found as a function of temperature and moisture content by the assumption of local thermodynamic equilibrium. The governing differential equations are expressed in finite difference form utilizing an implicit central difference scheme for two dimensions. Numerical solutions are obtained through the use of a digital computer. A steady-state solution is obtained for boundary conditions modeling an experiment. The computer solution is compared to the results of the experiment as a check for the analytical approach. A soil warming and irrigation system is then modeled for field conditions and results are obtained for various pipe spacings and depths utilizing data for a particular sandy soil and weather data for a particular location. These results are presented as plots of temperature and moisture content. Possible criteria for the optimization of the spacing and depth of the pipes for agricultural purposes are also presented. A possible method for optimizing the effect of the soil warming and irrigation system on the plant environment is therefore described utilizing the computer program to predict temperature and moisture in the vicinity of the heated porous pipes.
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