Development of methods for registration, description and analysis of statistical experimental data, obtained by monitoring mass random phenomena is the subject of a special science - mathematical statistics. All tasks of mathematical statistics concerns the treatment of observations of mass random phenomena, but depending on the nature of the solved practical question and amount of available experimental material these tasks can take a particular form. One of the main objectives of mathematical statistics is to develop methods of studying mass phenomena or processes on the basis of the relatively small number of observations or experiments. These methods have their scientific justification, his theory, called the theory of samples. The aim of this work is to build mathematical models of influence of various factors on a single number using the method of multifactor experiment planning, and their use results in the appointment of modes of technological operations. To study processes incomplete hot deformation uses a complex viscoplastic model of the environment, the mechanical properties which are characterized by a yield stress and viscosity. The yield strength depends on temperature and strain rate. On this basis, was carried out processing of experimental data by the method of multifactor experiment planning and statistical treatment of experimental data by definition of the yield strength depending on temperature and speed of deformation of steel U12A. From the analysis of the obtained regression equations, we can conclude that the most highly specific force depends on temperature. Regression equations mathematically describe the mutual influence of technological factors on yield strength and specific strength, in addition they allow you to correctly set processing modes that yield products of the required quality.
The work provided is a continuation the development of research work on the process of pumping high-viscosity liquids and is aimed at creating a universal technique of recalculating the performance curves of dynamic small-sized pumps from water to high-viscosity liquid. The practical need to develop such a technique became relevant after obtaining different results when using existing methods of predicting performance curves for hydrodynamic oil well pumps. The expediency of carrying out studies aimed at clarifying the scope of the technique for calculating the work parameters of a well oil centrifugal pump, which is being developed, is substantiated, and more thorough analysis of the structure of conversion coefficients taking into account the scale factor and flow regime in the hydraulic flow parts of the studied pumps.
The article considers one of the ways to increase the ability of a dynamic pump to pump gas-liquid mixtures - the application of the vortex principle of energy transfer. This scheme is embodied in a torque flow pump, which is able to pump mixtures with a gas content of up to 0,40 - 0,45 without additional devices for preparing the mixture. Experimental researches the influence the value of the volumetric gas content on the performance characteristics of the torque flow pump of the "Turo" type are given. The analysis of influence of structure of a stream of gas-liquid mixture on the value of the critical gas content in the interblade channels of the impeller is represented and developed a physical model of decrease the parameters of the torque flow pump.
В работе дан обзор методов расчета, основных параметров процессов пластического деформирования дилатирующих материалов, типичными представителями которых являются порошковые металлические системы различных химических составов. В их основу положены математические модели, использующие не только качественное объяснение, но и количественное описание эффекта дилатансии. Приведена полная система основных уравнений теории пластичности жесткопластических изотропных дилатирующих сред. Рассмотрен пример расчета установившегося пластического течения в условиях осесимметричной деформации. Показано, что для осесимметричной деформации уравнения относительно проекций вектора скорости на характеристические направления, аналогичны уравнениям для плоской деформации. Установлено, что используемые в настоящее время условия текучести с различной степенью точности описывают виды дилатансии (разрыхление и уплотнение). Поэтому, для более точного решение некоторых задач необходимо уточнение математических моделей условия текучести. Для некоторых процессов, пластического формоизменения при решении системы уравнений дилатирующих сред целесообразно условия текучести представлять в виде отдельных областей: гиперболичной, параболичной и эллиптичной.
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