The impact of viscous dissipation on the flow parameters during round tube filling

Kinematics of the fountain flow during pipe filling with a power‐law fluid

“…The parameter χ = Δ z / R indicating location of point B at the pipe symmetry axis with respect to contact point C on the solid wall is specified as a geometrical characteristic of the degree of convexity (Figure a). The behavior of χ in respect to the governing parameters during the circular pipe filling with a Newtonian fluid is presented in the following works . Previously, this theme was considered in the article .…”

“…The contact point motion on the solid wall is defined by the slip condition at dynamic contact angle fixed at π . A detailed description of the calculation algorithm used is presented in the article . The methods of calculating fluid flow with a free surface, which were developed in the last decades and mentioned in the section Introduction of this article, are certainly applicable for solving the problem considered.…”

“…It also contains the results of particular study of non‐isothermal filling of a planar channel with a non‐Newtonian fluid accounting for crystallization process. Investigations of the fountain flow kinematics using the mathematical models, which describe the physical principles of the process with varying degree of completeness, are presented in the articles …”