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Determination of nondimensional arguments in dimensional functions of ship propulsion engine operation

Rosłanowski J., Charchalis A.

Journal of KONES

2015

Vol. 22, No. 2

185--190

The following article describes different ways for determining dimensionless arguments in dimensional functions of ship propulsion engine operation. Dimensional space has also been characterized in relation to properties it possesses. An attention has been paid to the fact that it creates Abelian group, where involution fulfils multiplication axiom by scalar, and positive numbers that belong to dimensional space create dimensionless subspace. The conception of dimensional dependence has also been explained. There are also described conditions, which should be fulfilled by dimensional quantities to be dimensionally independent. Fundamental theorems of dimensional analysis have also been characterized. There is also given the definition of dimensional function of ship propulsion engine operation concerning values and dimensional arguments. It has been explained what requirements are to be fulfilled. One can also learn what limitations are imposed on dimensional function of ship propulsion engine operation concerning dimensional homogeneity and invariance. The ways of dimensional function transformation into a numerical one have been described. In addition, some conditions have been given which must be applied at given method of dimensional function transformation. An attention has been paid to the fact that dimensionless arguments are similarity invariant as a result of transformation by the similarity method of mathematical model of ship propulsion engine operation. In this study, the ship propulsion engine performance is expressed by product of Joule and second interpreted as transfer of energy in the form of work. Identification of ship propulsion engine operation by dimensional analysis performed in terms of its usefulness for diagnosis of ship propulsion engines. The basic problem of marine diesel exploitation is the monitoring of its technical condition. Diagnosis of marine diesel propulsion increases the safety of the ship and thus protects the marine environment against pollution.