Fountain viscous fluid flow during filling a channel when taking dissipative warming into account

Борзенко, Е. И.; Frolov, O. Yu.; Шрагер, Г. Р.

doi:10.1134/s0015462814010062

Cited by 20 publications

(4 citation statements)

References 12 publications

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“…Analysis of the filling process is discussed in detail in [29,30]. The current state of the research on the evolution and characteristics of the free surface of fountain flow is presented in [31,32]. Molten polymer flows in the presence of a free boundary are characterized by values Ca 1, so that the assumption of negligible capillary forces is often used to solve problems of this type [33,34], and its validity is confirmed by calculation results (see., e.g., [31]).…”

Section: Introductionmentioning

confidence: 93%

Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel

Борзенко

Шрагер

2015

J Appl Mech Tech Phy

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The effect of various models of the dynamics of the three-phase contact line on the flow characteristics during filling of a plane channel is investigated. The system of constitutive equations is solved numerically using a technique based on the combined use of the SIMPLE algorithm and the method of invariants. Different methods for calculating the motion of the contact point for slip and no-slip conditions for a dynamic contact angle θ = π, neglecting surface tension on the free boundary are considered. It is shown that in the whole computational domain, except in a small vicinity of the contact point, the kinematic characteristics of the flow and the distributions of the dissipation function and shear stress are slightly dependent on the selected calculation method of the motion of the contact point.

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Section: Introductionmentioning

confidence: 93%

Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel

Борзенко

Шрагер

2015

J Appl Mech Tech Phy

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“…Liu et al [6], leveraging the Rolie-Poly model, explored the effects of inlet velocity, polymer molecular weight, and temperature on the evolution of the leadingedge fountain effect of polystyrene melts, effectively simulating the viscoelastic behavior of polystyrene. Borzenko et al [7][8][9], through the Ostwald-de Waele rheological equation, examined the impact of pseudo-plastic and dilatational characteristics of the liquid medium on the fountain flow motion of non-Newtonian fluids during the tube filling process, thereby explaining the elimination of contact line singularity in traditional methods. Smit et al [10] predicted the instability of fountain flow using the PTT-XPP model, compared the elastic effects in the flow, and validated the impact of reduced critical Weissenberg numbers on fountain flow characteristics.…”

Section: Introductionmentioning

confidence: 99%

Simulation of Fountain Flow based on Molecular Dynamics Method

Chen,

Pu,

Zhang

et al. 2024

J. Phys.: Conf. Ser.

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In this paper, numerical simulations of the fountain effect on the flow front of polymer dilute solutions are carried out based on molecular dynamics principles and the FENE dumbbell model. The Euler method is used to solve the constitutive equations of the mechanical model for the simple shear flow field and the dislocation equations of the dumbbell molecules, and subsequently obtain the tracer flow lines and the dumbbell distribution of the flow front. The results are used to calculate the stress field, analyze the rheological evolution law, study the effect of temperature and shear rate and other parameters on the model and analyze the effectiveness of the FENE dumbbell molecular model for the fountain effect. The study shows that due to the fountain effect the dumbbell molecules stretch more with increasing shear rate, the polymer stress at the flow front will show a complex change of stress overshoot and then stabilize, and the dumbbell molecules are oriented along the fountain flow line.

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“…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

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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

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Fountain viscous fluid flow during filling a channel when taking dissipative warming into account

Cited by 20 publications

References 12 publications

Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel

Effect of the type of boundary conditions on the three-phase contact line on the flow characteristics during filling of the channel

Simulation of Fountain Flow based on Molecular Dynamics Method

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

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