APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS

International Journal of Mathematical Modelling & Computations

مقاله 3، دوره 2، 3 (SUMMER)، فروردین 2012، صفحه 189-197   

نویسندگان

B. Mehri؛ A. Zahedi Nejad

Iran, Islamic Republic of

چکیده

In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerical algorithm was used and the numerical method has shown very fast convergency. With this simulation the thermodynamics of expansion process is coupled with piston dynamics. Simulating an engine working at constant torque and polytropic expansions has shown high frequency piston vibration under certain conditions.
 

کلیدواژه‌ها

Banach space؛ internal combustion engine؛ polytropic expansion؛ singular boundary value problem