Dynamic modeling of dry-jet wet spinning of cellulose/[BMIM]Cl solution: complete deformation in the air-gap region

Xia, Xiaolin; Gong, Mingfang; Wang, Chaosheng; Wang, Biao; Zhang, Yumei; Wang, Huaping

doi:10.1007/s10570-015-0613-3

Cited by 12 publications

(19 citation statements)

References 29 publications

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“…The length L of air‐gap region we adopted is 180 mm. The reason why we employed this value is based on experimental data discussed in our previous work …”

Section: Methodsmentioning

confidence: 99%

“…As the development of computer technology, simulation is used as a powerful tool to solve some issues which are not easy to be measured by experiments, and directly has been widely used in scientific and industrial fields. Some considerable effects also have been done by some researchers . Zhou et al .…”

Section: Introductionmentioning

confidence: 95%

“…The constitutive equation is an equation which can be used to describe the viscoelastic flow of polymer melts or solutions. According to our previous study, an exponential PTT model captures the viscoelastic rheological properties of cellulose/[BMIM]Cl solution properly, which takes the following form:

exp true[\frac{ε λ}{η} tr true(bold-italicτ true) true] τ + λ true[true(1 - \frac{ξ}{2} true) \overset{\nabla}{τ_{}} + \frac{ξ}{2} \overset{Δ}{τ} true] = 2 η D

where

\overset{\nabla}{τ_{}} = υ \cdot \nabla τ ‐ \nabla υ^{T} \cdot τ - τ \cdot \nabla υ

and

\overset{Δ}{τ} = υ \cdot \nabla τ + τ \cdot \nabla υ^{T} + \nabla υ \cdot τ

are, for steady state, the Upper‐Convected and Lower‐Convected derivative of the total extra stress tensor τ , respectively; λ is the relaxation time. ɛ and ξ are two important model parameters.…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…However, only an isothermal model was adopted to simulate the flow behavior in the spinneret and some important spinning parameters were ignored, such as air‐gap lengths, draw velocity, surrounding temperature, and humidity. Afterwards, a compressive model was established to disclose the dynamics of dry‐jet wet‐spinning, in which the effect of viscoelasticity of polymer solution, flow behavior in the spinneret, and nonisothermal effect in the air‐gap region was considered.…”

Section: Introductionmentioning

confidence: 99%

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Numerical investigation of spinneret geometric effect on spinning dynamics of dry‐jet wet‐spinning of cellulose/[BMIM]Cl solution

Xia

Wang

et al. 2016

J of Applied Polymer Sci

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In this study, the effect of spinneret geometry, including the entrance angle a of the entrance channel, the length L s , and the diameter D 0 of the exit channel, on the spinning dynamics of dry-jet wet-spinning of cellulose/1-butyl-3-methylimidazolium chloride ([BMIM]Cl) solution was simulated by using finite element method. Based on the mathematical model of dry-jet wet-spinning established in our previous work (Xia et al., Cellulose 2015, 22, 1963 the radial and axial profiles of velocity, pressure, and shear rate in the spinneret and the profiles of diameter, temperature, and tensile stress in the air-gap region were obtained. From the simulated profiles, the effect of spinneret geometric parameters on the flow behavior and the pressure drop of polymer solution in the spinneret and the die-swell ratio near the spinneret was discussed. The entrance angle a of the entrance channel mainly influences the flow behavior of polymer solution in the spinneret and the die-swell effect near the spinneret. As the decrease of the entrance angle a of the entrance channel, the vortices in the spinneret could be removed and the die-swell ratio decreases. The increase of the length L s of the exit channel results in the increase of pressure drop in the spinneret and the decrease of the die-swell ratio. It is also found that the increase of the diameter D 0 of the exit channel reduces the flow velocity of polymer solution and decreases the pressure drop in the spinneret at a constant mass flow rate.

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“…The length L of air‐gap region we adopted is 180 mm. The reason why we employed this value is based on experimental data discussed in our previous work …”

Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 95%

exp true[\frac{ε λ}{η} tr true(bold-italicτ true) true] τ + λ true[true(1 - \frac{ξ}{2} true) \overset{\nabla}{τ_{}} + \frac{ξ}{2} \overset{Δ}{τ} true] = 2 η D

where

\overset{\nabla}{τ_{}} = υ \cdot \nabla τ ‐ \nabla υ^{T} \cdot τ - τ \cdot \nabla υ

and

\overset{Δ}{τ} = υ \cdot \nabla τ + τ \cdot \nabla υ^{T} + \nabla υ \cdot τ

Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Numerical investigation of spinneret geometric effect on spinning dynamics of dry‐jet wet‐spinning of cellulose/[BMIM]Cl solution

Xia

Wang

et al. 2016

J of Applied Polymer Sci

Self Cite

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show abstract

“…With the development of computer software, fluid dynamics simulation can take full consideration of all the influencing factors, whether the fluid viscoelastic, spinneret structure parameters or spinning conditions. And it can also obtain cross impact parameters of pressure drop in the case of avoiding repeated testing …”

Section: Introductionmentioning

confidence: 99%

Study on spinnability of polyacrylonitrile solution based on dynamics simulation of dry‐jet wet spinning

Wang

et al. 2018

J of Applied Polymer Sci

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Spinnability of polyacrylonitrile (PAN) solution was studied based on the spinning dynamics simulation and dry‐jet wet spinning experiments. The spinnability phenomenon was observed from the extruding and extending spinning experiments. The suitable conditions of normal extruding and extending of the PAN solution were obtained and the critical spinnability conditions were simulated. The experimental and simulation results showed that pressure drop through the spinneret was similar, while the temperature, velocity, and velocity gradient through the spinneret of PAN solution changed dramatically. It suggests that pressure drop can be chosen as one of the spinnability criterion for solution extruding and filaments forming during dry‐jet wet spinning. Furthermore, the effect of spinneret parameters and spinning conditions on spinnability was simulated. It shows that spinneret entrance angle, outlet channel length and width have impacts on the pressure drop and the die swell ratio, which suggests the spinneret design can be optimized to regulate the spinnability according to the simulation results. It is also found that some bad situations of spinnability such as sticking phenomenon can be avoided by decreasing spinning temperature or increasing mass flow rate to increase the pressure drop at a certain level under the premise of extruding smoothly. © 2018 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2018, 135, 46377.

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Mathematical simulation of wet spinning coagulation process: Dynamic modeling and numerical results

Ding

Schiesser

et al. 2016

AIChE Journal

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A dynamic model of polymer wet spinning coagulation process is proposed in this article. The model is based on the double diffusion phenomenon, phase separation process, continuity balance, and momentum balance of the entire coagulation process. The uniqueness of the model lies in its dynamic feature. The model can simulate the system's dynamic response to variations in system inputs/parameters. Steady‐state system solutions can also be produced as the long‐time solutions of the dynamic model; a settling time can be observed at the same time. This paper employs a computationally efficient method of lines numerical algorithm for solving the dynamic model. A simulation experiment on a selected non‐solvent‐solvent‐polymer ternary system is carried out to verify the model as well as the numerical method. The dynamic simulation results are analyzed and discussed. At the end of the article, h‐refinement and p‐refinement are used to confirm the spatial convergence of the numerical solutions. © 2016 American Institute of Chemical Engineers AIChE J, 62: 3432–3440, 2016

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Dynamic modeling of dry-jet wet spinning of cellulose/[BMIM]Cl solution: complete deformation in the air-gap region

Cited by 12 publications

References 29 publications

Numerical investigation of spinneret geometric effect on spinning dynamics of dry‐jet wet‐spinning of cellulose/[BMIM]Cl solution

Numerical investigation of spinneret geometric effect on spinning dynamics of dry‐jet wet‐spinning of cellulose/[BMIM]Cl solution

Study on spinnability of polyacrylonitrile solution based on dynamics simulation of dry‐jet wet spinning

Mathematical simulation of wet spinning coagulation process: Dynamic modeling and numerical results

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