Filling of channels with a non-Newtonian fluid in the gravity field

Борзенко, Е. И.; Шрагер, Г. Р.; Yakutenok, V. A.

doi:10.1134/s0015462809060052

Cited by 11 publications

(6 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The value St=0.87 was obtained by Mitsoulis [17] and the impossibility of obtaining the stationary shapes at larger St was associated with the loss of stability. In fact, as it was shown in [18] this event testifies in favor of the transfer to the filling regime with the jet formation and the gas entrainments. The fountain flow is replaced by a jet one.…”

Section: The Fountain Flowmentioning

confidence: 51%

See 1 more Smart Citation

The indirect boundary element method for the axisymmetric free surface Stokes flow

Ponomareva¹,

Yakutenok²

2015

WIT Transactions on Modelling and Simulation

Self Cite

View full text Add to dashboard Cite

The authors present the formulation of the indirect boundary element method (IBEM) for an axisymmetric Stokes flow with a free surface in the presence of gravity. The formulae of the fundamental solutions of the Stokes equations are found for velocities and tractions in the axisymmetric case. These expressions are written in the cylindrical coordinate system and contain the elliptic integrals of the first and second kind. For the integral equations discretization the constant elements are used. The necessary integrals are evaluated numerically except for the singular ones. The analytical formulae are obtained for them. Two boundaryvalue problems with mixed conditions are considered. The problem of the Poiseuille flow of a viscous fluid in a round tube with the exact solution was calculated to verify the IBEM algorithm and to demonstrate its approximation convergence. Another problem of the cylindrical tube filling by a viscous fluid with a free surface was calculated to prove the IBEM in the case of a moving boundary. The simulation in a steady-state formulation showed that the stationary advancing front shapes exist in both cases when the gravity acts against the flow (Stokes number St<0) and aids the flow (0

show abstract

Section: The Fountain Flowmentioning

confidence: 51%

“…Equations (7)-(10) are practically similar to those for the planar case excluding the form of the fundamental solutions (11)- (18). In consequence of this, after discretization of the boundary by means of the constant elements a system of linear algebraic equations is obtained similar to that described in [4].…”

Section: Numerical Implementationmentioning

confidence: 74%

The indirect boundary element method for the axisymmetric free surface Stokes flow

Ponomareva¹,

Yakutenok²

2015

WIT Transactions on Modelling and Simulation

Self Cite

View full text Add to dashboard Cite

show abstract

“…It should be noted that the method described here has been used to calculate the examined flows in a plane formulation [17,18]. In [17,18], the computation method was tested and the results were compared with those obtained using the boundary-element method.…”

Section: Calculation Resultsmentioning

confidence: 99%

“…In [17,18], the computation method was tested and the results were compared with those obtained using the boundary-element method. These results were found to be in good agreement.…”

Section: Calculation Resultsmentioning

confidence: 99%

Free-surface non-Newtonian fluid flow in a round pipe

Борзенко

Schrager

Yakutenok

2012

J Appl Mech Tech Phy

Self Cite

View full text Add to dashboard Cite

Free-surface pseudoplastic and viscoplastic fluid flows in a round pipe were studied for the case where the direction of motion coincides with the direction of gravity. Numerical modeling was performed using a technique based on a combination of the SIMPLE algorithm and the method of invariants. Three characteristic filling regimes were found to exist: a complete filling regime, a regime characterized by air-cavity formation on the solid wall, and a jet regime. Critical parameter values separating the regions of existence of these regimes were calculated. The evolution of quasisolid cores was studied for flow of a fluid with an yield point.

show abstract

“…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 …”

Section: Introductionmentioning

confidence: 99%

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

2018

View full text Add to dashboard Cite

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

show abstract

Filling of channels with a non-Newtonian fluid in the gravity field

Cited by 11 publications

References 6 publications

The indirect boundary element method for the axisymmetric free surface Stokes flow

The indirect boundary element method for the axisymmetric free surface Stokes flow

Free-surface non-Newtonian fluid flow in a round pipe

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

Contact Info

Product

Resources

About