An efficient numerical method developed recently in Russia for calculations of dilute particle phase flow fields in two-phase gas-particle flows is presented in this paper. The method is based on the full Lagrangian approach (FLA) to the description of the regular motion of the particle phase. The collisionless “gas” of particles is treated as a continuum for which all basic equations, namely, the continuity equation, the momentum equation and the energy equation are written in the Lagrangian coordinates. The traditional Lagrangian approach (LA) widely used in the West does not deal with the explicit form of the continuity equation for the particle phase, and this is the key difference between FLA and LA. The FLA-method has some advantages over the traditional Lagrangian technique. Examples of numerical calculations of two-phase flows with a complex particle phase flow structure illustrate this method.
The article is devoted to the issue of early orthopaedic rehabilitation of youngest preschool children with ectodermal dysplasia and congenital edentulism. The essence and details of children’s psychophysiological development at this age are revealed, as well as main pedagogical tools making it possible to adapt the children to the specific environment of the dental clinic and motivate them for undergoing long-term multistage orthopaedic dental treatment. Clinical approaches and peculiarities in the dentist’s work with children of different psychological types as well as particular aspects in their adaptation to removable dentures are described. Two clinical cases of effective orthopaedic rehabilitation of 3-years-old children with ectodermal dysplasia and congenital edentulism using full removable lamellar dentures.
Having analyzed the piston-cylinder unit kinematics, we obtained an equation for the clearance height in the piston-cylinder unit for the case of low speeds, the equation being the basis for Reynolds equation for the lubricant layer of the piston mechanism. By a numerical experiment using the fractional step method, we built a pressure field for two different cases of the piston mechanism kinematics, and compared the bearing capacity of the hydrodynamic force. It was revealed analytically and with the help of a numerical experiment that when the piston rolls in the edges of the guide bushing, the total hydrodynamic force significantly exceeds the force created when the piston slides in the bushing.
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