Kinematics of the fountain flow during pipe filling with a power‐law fluid
The fountain flow of a non‐Newtonian fluid during a circular pipe filling is investigated. Mathematical description of the process is based on the equations of motion and continuity. The system of equations is completed by the Ostwald‐de Waele rheological equation. The slip condition is used at the...
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| Veröffentlicht in: | AIChE journal 2019-02, Vol.65 (2), p.850-858 |
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| creator | Borzenko, Evgeny I. Frolov, Oleg Yu Shrager, Gennady R. |
| description | The fountain flow of a non‐Newtonian fluid during a circular pipe filling is investigated. Mathematical description of the process is based on the equations of motion and continuity. The system of equations is completed by the Ostwald‐de Waele rheological equation. The slip condition is used at the contact line. The numerical solution of the formulated problem is obtained using a computational technology based on the finite volume method, SIMPLE procedure, and invariant method, which is used for numerical realization of the boundary conditions on the free surface. The results of parametric studies of the flow kinematic characteristics are presented depending on the governing dimensionless criteria and power‐law index. © 2018 American Institute of Chemical Engineers AIChE J, 65: 850–858, 2019 |
| doi_str_mv | 10.1002/aic.16470 |
| format | Article |
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Mathematical description of the process is based on the equations of motion and continuity. The system of equations is completed by the Ostwald‐de Waele rheological equation. The slip condition is used at the contact line. The numerical solution of the formulated problem is obtained using a computational technology based on the finite volume method, SIMPLE procedure, and invariant method, which is used for numerical realization of the boundary conditions on the free surface. 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| subjects | Boundary conditions Computer applications contact line Equations of motion filling Finite volume method flow kinematics Fluid flow fountain flow Free surfaces Kinematics Mathematical analysis Newtonian fluids Organic chemistry Ostwald ripening Pipes power‐law fluid Rheological properties |
| title | Kinematics of the fountain flow during pipe filling with a power‐law fluid |
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