Abstract—Mathematical modeling is the process of designing a model of a real system and conducting experiments with it for the purpose of understanding the behaviour of the system. Mathematical simulation is widely used for investigating and designing the compressors. Investigation of the processes of reciprocating compressors using mathematical models is an effective tool by high development of computing technique, which enables complicated problems to be solved with a minimal number of simplifying assumptions. A considerable number of previous works has been done on the mathematical modeling and simulation. This paper presents a simplified and effective mathematical model for the estimation of reciprocating compressor performance using personal computers that can be easily handled. The developed model has been validated using the experimental results from the compressor with reed vale in the delivery side and ring valve in the suction side. The compressor is tested for different delivery pressures and different shaft speeds. The effect of parameters speed, discharge pressure on thermodynamic behaviour of compressor in working condition has been analyzed. The model can predict cylinder pressure, cylinder volume, cylinder temperature, valve lift and resultant torque at different crank angles and free air delivered and indicated power of the compressor. The predicted results using the developed mathematical model are very much comparable with the experimental results.
Index Terms—Resultant torque, Indicated power, Peak pressure, FAD, Volumetric efficiency.
Venkatesan. J, Assistant Professor and Research Scholar is working with Sri Venkateswara College of Engineering, Pennalur, Sriperumbudur, Chennai – 602105, India.
Nagarajan. G, Professor in Mechanical Engineering is working at College of Engineering, Anna University, Chennai – 600025, India.
Seeniraj. R. V, Professor (Retired), College of Engineering, Anna University, Chennai – 600025, India.
Kumar.S is working as a Lecture in Well International College of Engineering and Management, Muscat, Oman.
Cite: Venkatesan J, Nagarajan G, Seeniraj R. V and Kumar S, "Mathematical Modeling of Water Cooled Automotive Air Compressor," International Journal of Engineering and Technology vol.1, no.1, pp. 50-56, 2009.