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Problems of mathematical simulation of the temperature stresses arising in the wall of a pipe of a cross-country gas pipeline in the process of electric-arc welding of defects in it have been considered. Mathematical models of formation of temperatures, deformations, and stresses in a gas pipe subjected to phase transformations have been developed. These models were numerically realized in the form of algorithms representing a part of an application-program package. Results of verification of the computational complex and calculation results obtained with it are presented. [ABSTRACT FROM AUTHOR]

numerical simulation of the action of the current experienced by an electric arc and the rate of gas flow in a pipe of a cross-country gas pipeline on the depth of penetration of the electric arc into the wall of this pipe and on the current and residual stresses arising in the pipe material in the process of electric-arc welding of nonthrough cavity-like defects in it has been carried out for gas pipes with walls of different thickness. [ABSTRACT FROM AUTHOR]

We investigate the unsteady-state laminar process of ultrafiltration in a plane channel with one permeable surface in the stage of stationary gelatination. [ABSTRACT FROM AUTHOR]

A study is carried out to investigate unsteady-state concentration polarization in the case of laminar ultrafiltration in a plane channel with one permeable surface as a function of the selectivity properties of the membrane. [ABSTRACT FROM AUTHOR]

The process of ultrafiltration in a cell without mixing with allowance for the diffusion coefficient as a function of the concentration is described. [ABSTRACT FROM AUTHOR]

We investigate the process of unsteady-state ultrafiltration with gelation under laminar flow conditions in a pipe filter with nonideal selectivity of its membrane. [ABSTRACT FROM AUTHOR]