MATHEMATICAL MODELING OF ICE FREEZING PROCESSES AND CONTROL OF DRUM-TYPE ICE GENERATOR OPERATION
Abstract
In the article we have considered a mathematical model for the process of scaly ice buildup in barrel-type ice generator in the form of conjugated non-linear boundary problem of heat conductivity for the wall of drum (in cavities of which coolant boils) and layer of ice thickness variable in time (Stephen’s problem with moving-boundary of phase separation). Three approaches are formulated to the analysis of the ice buildup process at different modes of the ice generator operation by means of solving a boundary problem: approximations, as a logarithmic distribution of temperatures; semi-analytical, in analytical solving by a co-ordinate and finite-difference in time; finite-difference by a co-ordinate and in time. The first approach and its results are presented in this work. The results of influence are presented also on efficiency of an ammonia ice generator operation, lube oil, soluble in ammonia, and choice of construction materials, such as stainless steel, an aluminum-magnesium alloy AMg5.
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