To calculation of spatial distribution of pressure in the compressed lubricant layer of cylinder-piston connection

The description of the numerical solution of a task of lubricant of a side surface of the piston of the internal combustion engine based on model of a current of the compressed lubricant environment is provided. In work main assumptions of the theory of hydrodynamic lubricant are accepted, at the same time influence of thermal load of the piston and accounting of cavitation and foaming of lubricant is carried out by introduction to model of the determining temperature and parameters of gas content. Two methods of linearization of a task are considered, first of which uses the iterative procedure of the decision on the basis of Newton's method, and in the second the idea of approximating linearization of the numerical scheme is used, at the same time rectangular ranges of definition of a task allow to receive the decision in the direction of spatial coordinates of an object by method of the variable directions. Spatial distributions of pressure in a layer at reciprocating motion of the piston are received and its integrated characteristics, influence of gas content and parameters of a profile on characteristics of a lubricant layer is estimated. The comparative analysis of each of the used approaches is carried out. The efficiency evaluation is executed by comparison of size of time of the solution of a task before accomplishment of conditions of frequency with an identical accuracy shows some efficiency of use of the iterative procedure - time of the solution of a task on 25...30 % are less, than at alternative approach. Also, indirectly, tells about efficiency of the iterative decision also an interval of parameter values of gas content in case of which convergence of the numerical procedure of the decision without change of steps of a grid is provided. However, simplicity of implementation of the numerical scheme on the basis of approximating linearization, ease of ensuring stability of a numerical task taking into account constantly increasing opportunities of computer facilities allow to recommend this approach. The conclusion about need of “calibration” of model on the known type of the engine is drawn that will provide elimination of the arbitrary behaviour, which is available in it in the form of the determining temperature and gas content and will make possible calculation of future modifications of a design of the cylinder-piston group of the chosen type.