Mathematical modeling of temperature regime of milking parlor

Abstract

Dynamic thermal processes take place in the milking parlor. During the milking time cows separate a lot of heat. Milking parlors have often installed constant or periodical operating heat sources. The optimum temperature of the air during milking time is approximatelly 18° C, and during the winter period the temperature should be not less than 10° C. When there are no people working in the milking parlor the temperature can be still less, but it should be positive for the water to stay in liquid state and for the proper operation of electronic apparatus. The fluctuations of the heat flows in the premises have been influenced by the temperature changes of the partition surfaces and the thermal energy accumulated in partitions and the one returned to the premisses. Mathematical model of the dynamic resemblance of the inside air temperature that could be solved by simple method has been made. The heat accumulation of the partition, periodical heaters and the flow of animal heat have been estimated with the help of this model. The model parameters have been chosen after the analysis of the technological and technical data of the typical milking parlors. When the outside temperature is 20° C below zero and the inside air temperature during milking time should be 15° C, then the heater has to be used twice day for 3 hours and its power should be 1,5 kW/for every milking place. This hat been calculated with use of this mathematical model. The inside temperature fell down to 6° C between the milking periods.