ANALYSIS OF THE FREEZE-BACK OF WATER IN A CYLINDRICAL BOREHOLE DRILLED IN AN ICE SHEET

摘要

Presented is a solution of the freezeback of water in a cylindrical borehole drilled in an ice sheet floating on water, based on the assumption that the temperature distribution does not depend on the vertical direction and the temperature of the water in the borehole is the freezing temperature. The solution is found by using the thickness of the newborn ice in place of time. Because of the complexity of the analysis, the solution can be found only for the first few terms of the series solution. Numerical computation of the solution thus found by use of the first few terms of the series solution yields the growth curve of the newborn ice that reaches maximum at a certain time. The solution ceases to be valid before the time of maximum is reached. (Author)