Abstract
Non-isothermal filling of a vertical round pipe with a non-Newtonian fluid is studied taking into account crystallization with first-type boundary conditions for a wall temperature. The liquid medium is considered as a semi-crystalline polymer fluid exhibiting rheological behavior described by the Carreau-Yasuda model. In addition, dependence of apparent viscosity on the degree of crystallinity is taken into account. Phase transition effects are described in accordance with the Avrami-Kolmogorov theory. Mathematical formulation of the problem includes equations of motion, energy, and continuity. Numerical solution of the problem is carried out using an original computational technique. As the pipe is being filled with a fluid, distributions of flow characteristics are shown with a distinguished crystallized layer on a solid wall.
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