A. V. Baranov

Physical model of flow with anisotropic layer impregnation

Isothermal filling of a plane cavity by a Newtonian fluid with simultaneous anisotropic impregnation of a reinforcing layer is considered.

Non-isothermal Dispersive Flow of a Rubber Mixture Inside an Internal Rotor Mixer

Abstract The paper is devoted to theoretical and experimental investigation of hydrodynamics, heat exchange and kinetics of dispersing of carbon black with a rubber mixture in a chamber of an internal mixer. Modeling of the process is based on use of a rheological equation of a “power” type. A possibility of slipping along a wall is taken into consideration in formulation of boundary conditions. Results of model calculations gave ground for the engineering method of calculations of optimal values of the size of the gap between a wedge of a rotor blade and a wall of a chamber. Comparison of such principal characteristics of a mixing process as average temperature of a stock and the degree of dispersion demonstrated quite good correlation of calculated and experimental data.

Modeling Non-isothermal Mixing in a Rotor Mixer

Abstract A mathematical model of the mixing process in a two-rotor mixer is proposed. The model developed takes into account the interrelations among the following essential features of the process: non-isothermal effects due to heat exchange and energy dissipation in flow, non-Newtonian behavior of a material and dependence of its properties on temperature and the degree of filler agglomerate destruction, kinetics of changing carbon agglomerate sizes due to mechanical distraction. The system of governing equations is formulated and the procedure of its solution is described. The theoretical model is compared with experimental data obtained in real technological process of mixing of a rubber compound. In all cases quite satisfactory results of comparison were obtained. It means that the model proposed can be used for analysis of real technological processes of mixing and choice of optimal technological regime and geometrical sizes of a mixer (primarily size of the gap between a rotor and the wall of a chamber) as well.

Conjugated heat transfer in the flow of a non-Newtonian fluid with variable properties in a flat duct

We solve the problem of the flow of a nonlinearly viscoelastic fluid in the presence of large pressure drops and appreciable nonisothermicity.

Nonisothermal flow of chemically reacting media with viscosity depending on temperature and pressure

The article investigates heat exchange and resistance when non-Newtonian, chemically reacting liquids, whose viscosity depends on the flow rate, the temperature, the pressure, and the degree of conversion, flow through flat pipes.

Mathematical modeling of the process of plane polymer film formation

The approximate solution is considered of a nonlinear nostationary problem of heat conduction with conjugate boundary conditions.

Mathematical description of the rheodynamics and heat transfer associated with the blown-film process

A mathematical model is presented for nonuniform biaxial stretching of a non-linear viscoelastic crystallizing medium under nonisothermal conditions.