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Abstract. Heat and mass transfer during absorption on a film of lithium bromide water solution flowing by a cooled wall in the steam atmosphere is numerically investigated in this paper. The self-similar solutions are using as the initial conditions for solving the problem beyond the entrance region. The key criteria characterizing heat and mass transfer in the film absorption with uniform velocity profile and with a constant thickness have been determined. Problem statementNumerical simulation of gas-thermal spray coatings is a difficult task, the urgency of which is due to the widespread application of technologies for the deposition of hardening coatings. The interaction of sprayed particles with the surface of a processed material is three-dimensional, has a wide range of impact velocities (from 100 to 2000 m/s) and a high strain degree. The melted particles interacting with the surface can contain solid inclusions, which makes it difficult to simulate the behavior of this media. This paper represents the simulation results of melted viscous metal drops impacting with a cold surface, as well as the crystallization process using the SPH method. Computational methodThe paper considers a variant of the SPH method, namely a symmetrized method of smoothed particles. The SPH approximation of the unsteady heat transfer equations is used to calculate thermal conductivity.The symmetrized SPH method is conservative concerning the momentum, almost conservative concerning the energy, has a first-order time accuracy, but it has a low approximation accuracy of spatial derivatives (of order zero in the general case). The method allows free boundary problems to be solved.The method is based on nuclear approximation:

Рассматривается задача расчѐта плоского осесимметричного упругопластического напряжѐнного состояния толстостенной стальной цилиндрической трубы при действии равномерного внутреннего давления. В трубе реализуются два предельных состояния: упругого и пластического сопротивления материала для двух предельных значений давления. Для промежуточного значения давления сечение трубы состоит из двух концентрических кольцевых зон-внутренней упругопластической зоны и внешней упругой. Исчерпание несущей способности трубы происходит тогда, когда зона упругопластических деформаций, распространяясь от внутренней поверхности трубы, доходит до еѐ наружной поверхности. Поэтому наличие у внешней поверхности трубы зоны упругого деформирования не приводит к разрушению конструкции. Ключевые слова: толстостенная труба; плоская осесимметричная упругопластическая задача; диаграмма Прандтля; несжимаемый материал; предел упругого сопротивления; предел пластического сопротивления; расчѐт прочности.

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A description of the original method for solving problems of linear viscoelasticity, based on the separation of spatial and temporal variables and the reduction of this problem to an elastic problem, is presented in the paper. We compared the solutions given by this method, as well as those obtained using standard ANSYS tools, with known analytical solutions. The results show the effectiveness of the new method.