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https://hdl.handle.net/11681/9575| Title: | The Neumann solution applied to soil systems |
| Authors: | Lunardini, Virgil J. |
| Keywords: | Cold regions Freezing Soils Thawing Neumann problem Mathematical models |
| Publisher: | Cold Regions Research and Engineering Laboratory (U.S.) Engineer Research and Development Center (U.S.) |
| Series/Report no.: | CRREL report ; 80-22. |
| Description: | CRREL Report Abstract: The only complete, analytic solution for conduction problems with phase change is the Neumann solution. The Neumann solution is valid for phase change in a semi-infinite, homogeneous medium with a step change in surface temperature; starting from an initial temperature which can be different than or equal to the fusion temperature of the medium. The Neumann solution, when applied to soils, forms the basis of a number of formulae for calculating the depths of freezing or thawing. Widely used graphs were previously developed that are valid only when the ratios of the thermal conductivities and thermal diffusivities of the frozen and thawed soils are unity. In this report general charts, applicable to any property ratios, are developed. The figures have been drawn specifically for soil systems, but they are applicable to any material with appropriate property ratios. |
| Rights: | Approved for public release; distribution is unlimited. |
| URI: | http://hdl.handle.net/11681/9575 |
| Appears in Collections: | CRREL Report |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| CR-80-22.pdf | 418.25 kB | Adobe PDF |  View/Open |