Mathematical modeling of the rheological behavior of thermoplastic slurry in the molding process of beryllium ceramics

The article presents the results of calculations of a mathematical model of the flow and heat exchange of a thermoplastic beryllium oxide slurry in a circular channel of a foundry installation. Taking into account the peculiarities of coagulation structure formation and the flow mechanism with boundary conditions, the article presents calculations of the speed of the viscoelastic flow of the slurry on the basis of two rheological models of Shvedov-Bingham and Herschel-Bulkley. The three-parameter equation is used to check the consistency of the experimental data of the non-isothermal slurry flow in comparison with the Shvedov-Bingham model. According to the results of calculations of various hydrodynamic conditions and thermal parameters, the fields of velocities and temperatures were obtained to determine the optimal modes of casting beryllium oxide slurry. The heat transfer parameters were determined in accordance with the physical properties of the cavity wall. The positions of the crystallization front along the circular channel are also shown depending on the thermal parameters. The results of the calculated data on the Shvedov-Bingham and Bulkley-Herschel rheological models showed suffi-cient adequacy with the experimental data.