Parametric functions of ship propulsion engine operation

The following article presents the method of determining the ship 's propulsion engine operation basing on the engines work parameters by means of dimensional analysis. The operation of engine is considered as effective energy transfer to ship propeller in the form of work during its operation. According to Girtler engine operation can be considered as, a new physical quantity of dimension Joul multiplied by second [2, 3J. A random type of combustion in engine cylinders makes possible to deal with engine operation as a random variable vectors in the Hilbert space isomorphic with dimension space. The analysis of stochastic engine workprocess is alternatively used as a set of determinist time functions by means dimension analysis. Parametric functions of engine work were determined on the basis of algebraic analysis scheme designed by S. Drobot. This scheme makes possible to control the correctness of conclusion rules regarding mathematics in digital functions describing operation of ship propulsion engine. Additionally the parametric form of function makes possible to investigate the influence of function parameters on correctness of engine operation. It makes possible to forecast the engine operation i given sailing conditions and to estimate steerability of ship during the voyage. It improves the safety of ship operation propelled by single engine propulsion plant.