WSEAS Transactions on Systems and Control
The finite difference method applied for the simulation of the heat exchangers dynamics
ICS'09 Proceedings of the 13th WSEAS international conference on Systems
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Reliability of measurement is influenced by temperature distribution in sensors. In this paper, the heat transfer dynamics of a thermometer is discussed. A development of its mathematical model, its numerical calculation and experimental verification is presented. In the real service, the sensor is screwed by its stem in an automobile oil pan case. It is used to control the temperature of oil. The stem of the thermometer is heated by oil while its opposite part with contacts is cooled by ambient air. Fourier partial differential equations describe thermometer stem heating, heat transfer between thermometer and oil pan case and the thermometer contact part cooling. To verify the mathematical model of the sensor, physical model of the actual system was built in laboratory. Mathematical model of the physical model was constructed and calculated numerically by the finite element method using the ANSYS environment. Reference measurement was made by infrared camera. MATLAB image processing functions were utilized to filter camera images. Differences between analytical and experimental results were used for adaptive correction of the mathematical model. Accuracy of the mathematical model was calculated. The presented paper describes a pilot project of a larger study.