• 유변학
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• 제8권2호
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• pp.119-128
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• 1996

폴리프로필렌(PP)/폴리카보네이트(PC) 블렌드의 유변학적 고찰을 통해 블렌드의 수 축현상과 분상상의 변형의 연관성을 연구했다. 블렌드의 수축현상은 압축과정에서 변형됐던 분산상이 고온에서 다시 원래의 무변형 상태로 복귀하면서 나타나는 탄성변형의 풀림으로 추정되고 압출팽윤의 데이터와도 부합된다. 압출온도를 최대한 낮게 해서(25$0^{\circ}C$) 제조한 블 렌드의 경우가 최대한 높게 한 경우 (29$0^{\circ}C$)보다 수축이더 큰 사실을 설명하기 위하여 순수 PC와 PP의 전단점도비와 신장점도비를 측정 비교한 결과 두 값이 공히 높은 온도의 경우 가 오히려 작게 되어 점성에 의한 분산상의 전단변형이나 신장변형이 수축의 원인이 아니라 는 것을 알아다. 한편 법선응력과 전단응력의 데이터로부터 얻은 물질풀림시간의 비는 낮은 온도의 경우가 작아서 수축현상이 분산상의 탄성에 의한 변형이라는 것을 확인했다.

• Korea-Australia Rheology Journal
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• 제11권4호
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• pp.293-304
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• 1999

Refinements of classical theories for entangled or crosslinked polymeric systems have led to incommensurable models for rubber networks and polymer melts, contrary to experimental evidence, which suggests a great deal of similarity. Uniaxial elongation and compression data of linear and branched polymer melts as well as of crosslinked rubbers were analyzed with respect to their nonlinear strain measure. This was found to be the result of two contributions: (1) affine orientation of network strands, and (2) isotropic strand extension. Network strand extension is caused by an increasing restriction of lateral movement of polymer chains due to deformation, and is modelled by a molecular stress function which in the tube concept of Doi and Edwards is the inverse of the relative tube diameter. Up to moderate strains, $f^2$ is found to be linear in the average stretch for melts as well as for rubbers, which corresponds to a constant tube volume. At large strains, rubbers show maximum extensibility, while melts show maximum molecular tension. This maximum value of the molecular stress function governs the ultimate magnitude of the strain-hardening effect of linear and long-chain branched polymer melts in extensional flows.

• 유변학
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• 제5권1호
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• pp.14-22
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• 1993

신장유동의 예로 등온 방사공정을 구성방식의 예로 변형률속도에 따라 변하는 풀림 시간을 가지는 White-Metz-ner 모델을 사용해서 점탄성유체의 거동에 관한 해석적 연구를 수행했다, 그결과 풀림시간의 변형률속도에 대한 의존도에 따라 점탄성유체를 두가지로 구 분할 수 있음을 알 수 있었다, 다시말해서 풀림시간이 변형률속도에 대해서 작은 의존도를 가지는 그룹I의 유체의 경우는 변형률속도가 커짐에 따라 신장점도가 증가하며 Weissen-berg수 (무차원 풀림시간)가 커짐에 따라 방사사선의 속도가 증가한다, 반면에 풀 림시간이 변형률속도에 대해서 큰 의존도를 가지는 그룹 II의 유체의 경우는 변형률 속도가 커짐에 따라 신장점도가 감소하며 Weissenberg수가 커짐에 따라 방사사선의속도가 감소한 다. 이렇게 대조적딘 점탄성유체에 관한 결과는 유사한 거동을 보고한 다른 연구자들의 결 과와 잘 부합한다. 또한 Weissenberg수가 다른경우의 신장점도 곡선들을 무차원 변형률속 도를 Weis-senberg수에 비례하게 Shift 시키면 master Curve를 얻을수 있었다.

• 유변학
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• 제8권2호
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• pp.92-102
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• 1996

두 종류의 열방성 액정고분자와 세종류의 엔지니어링 고분자와의 블렌드들에 대해 유변학적/형구학적 연구를 한 결과 블렌드의 유동거동과 물성이현저히 다른 두 그룹으로 나 뉘어짐을 발견하였다. 즉 연속상의 조업온도가 분산상의 전이온도보다 높은 그룹A에 속하 는 블렌드의 전단점도/신장점도는 액정고분자를 첨가할수록 첨가할수록 감소하고 블렌드의 신장점도는 연속상의 그것처럼 신장변형률속도가 커질수록 증가하였다. 또한 분산상의 점도 가 연속상의 그것보다 작아서 분산상이 미세섬유구조의 형태로 존재하였다. 이와 대조적으 로 연속상의 조업온도가 액정고분자의 전이온도보다 낮은 그룹 B에 속하는 블렌드는 반대 의 거동을 보였고 분산상의 미세섬유구조가 존재하지 않았다. 그러나 연신변형이 주가 되는 방사공정을 거치면 그룹A와 B블렌드 공히 분산상이 비슷한 미세섬유구조의 형태로 존재하 고 기계적 성질도 크게 향상되는 결과를 보였다. 이는 블렌드내의 신장유동이 분산상의 섬 유구조형상에 결정적 역할을 하기 때문이라 판단된다.

• Korea-Australia Rheology Journal
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• 제16권3호
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• pp.117-128
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• 2004

The effect of molecular parameters on the steady vortex behaviors in the inertial viscoelastic flow past a cylinder has been investigated. FENE-CR model was considered as a constitutive equation. A recently developed iterative solution method (Kim et al., (in press)) was found to be successfully applicable to the computation of inertial viscoelastic flows. The high-resolution computations were carried out to understand the detailed flow behaviors based on the efficient iterative solution method armed with ILU(0) type pre-conditioner and BiCGSTAB method. The discrete elastic viscous split stress-G/streamline upwind Petrov Galerkin (DEVSS-G/SUPG) formulation was adopted as a stabilization method. The vortex size decreased as elasticity increases. However, the vortex enhancement was also observed in the case of large extensibility, which means that the vortex behavior is strongly dependent upon the material parameters. The longitudinal gradient of normal stress was found to retard the formation of vortex, whereas the extensional viscosity played a role in the vortex enhancement. The present results are expected to be helpful for understanding the inertial vortex dynamics of viscoelastic fluids in the flow past a confined cylinder.

• Korea-Australia Rheology Journal
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• 제11권4호
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• pp.279-285
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• 1999

Draw resonance is both an important and interesting instability encountered in various extensional-deformation-dominated polymer processing operations. It is important because of its paramount relevance to the productivity and quality issue in the related industry: and it is interesting because of as yet unanswered questions as to what its cause and origin are in terms of physics involved. Specifically, a short chronological account of the draw resonance research is presented in this paper bringing several previous results together and focusing on the derivation of a new criterion for draw resonance based on the interaction of the traveling times of some kinematic waves propagating along the spinline from the die exit to the take-up position. The new explanation of draw resonance put forward here based on the physics of the system is seen to have wide implications on both theoretical and practical aspects of draw resonance instability. The importance of the role played by spinline tension in determining draw resonance is an example of the former whereas interpretation of the mechanism of the draw resonance eliminator is an example of the latter. Finally, an approximate yet a very fast and convenient method for determining draw resonance is also derived based on the above findings and found to agree well with the exact stability results.

• Korea-Australia Rheology Journal
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• 제13권1호
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• pp.1-12
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• 2001

This paper describes the application of our recently developed two-phase model for flow-induced crystallization (FIC) to the simulation of fiber spinning and film blowing. 1-D and 2-D simulations of fiber spinning include the combined effects of (FIC), viscoelasticity, filament cooling, air drag, inertia, surface tension and gravity and the process dynamics are modeled from the spinneret to the take-up roll device (below the freeze point). 1-D model fits and predictions are in very good quantitative agreement with high- and low-speed spinline data for both nylon and PET systems. Necking and the associated extensional softening are also predicted. Consistent with experimental observations, the 2-D model also predicts a skin-core structure at low and intermediate spin speeds, with the stress, chain extension and crystallinity being highest at the surface. Film blowing is simulated using a "quasi-cylindrical" approximation for the momentum equations, and simulations include the combined effects of flow-induced crystallization, viscoelasticity, and bubble cooling. The effects of inflation pressure, melt extrusion temperature and take-up ratio on the bubble shape are predicted to be in agreement with experimental observations, and the location of the frost line is predicted naturally as a consequence of flow-induced crystallization. An important feature of our FIC model is the ability to predict stresses at the freeze point in fiber spinning and the frost line in film blowing, both of which are related to the physical and mechanical properties of the final product.l product.

• Korea-Australia Rheology Journal
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• 제19권3호
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• pp.147-156
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• 2007

The orientation and deformation of polymer chains in a confined channel flow has been investigated. The polymer chain was modeled as a Finitely Extensible Nonlinear Elastic (FENE) dumbbell. The Brownian configuration field method was extended to take the interaction between the flow and local chain dynamics into account. Drag and Brownian forces were treated as anisotropic in order to reflect the influence of the wall in the confined flow. Both Poiseuille flow and 4 : 1 contraction flow were considered. Of particular interest was molecular tumbling of polymer chains near the wall. It was strongly influenced by anisotropic drag and high shear close to the wall. We discussed the mechanism of this particular behavior in terms of the governing forces. The dumbbell configuration was determined not only by the wall interaction but also by the flow type of the geometric origin. The effect of extensional flow on dumbbell configuration was also discussed by comparing with the Poiseuille flow.

• Korea-Australia Rheology Journal
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• 제21권4호
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• pp.269-280
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• 2009

The drop formation dynamics of a shear thinning, elastic, yield stress ($\tau_o$) fluid (Carbopol 980 (poly(acrylic acid)) dispersions) in silicone oil has been investigated in a flow-focusing microfluidic channel. The rheological character of each solution investigated varied from Netwonian-like through to highly non-Newtonian and was varied by changing the degree of neutralization along the poly (acrylic acid) backbone. We have observed that the drop size of these non-Newtonian fluids (regardless of the degree of neutralisation) showed bimodal behaviour. At first we observed increases in drop size with increasing viscosity ratio (viscosity ratio=viscosity of dispersed phase (DP)/viscosity of continuous phase (CP)) at low flowrates of the continuous phases, and thereafter, decreasing drop sizes as the flow rate of the CP increases past a critical value. Only at the onset of pinching and during the high extensional deformation during pinch-off of a drop are any differences in the non-Newtonian characteristics of these fluids, that is extents of shear thinning, elasticity and yield stress ($\tau_o$), apparent. Changes in these break-off dynamics resulted in the observed differences in the number and size distribution of secondary drops during pinch-off for both fluid classes, Newtonian-like and non-Newtonian fluids. In the case of the Newtonian-like drops, a secondary drop was generated by the onset of necking and breakup at both ends of the filament, akin to end-pinching behavior. This pinch-off behavior was observed to be unaffected by changes in viscosity ratio, over the range explored. Meanwhile, in the case of the non-Newtonian solutions, discrete differences in behaviour were observed, believed to be attributable to each of the non-Newtonian properties of shear thinning, elasticity and yield stress. The presence of a yield stress ($\tau_o$), when coupled with slow flow rates or low viscosities of the CP, reduced the drop size compared to the Newtonian-like Carbopol dispersions of much lower viscosity. The presence of shear thinning resulted in a rapid necking event post onset, a decrease in primary droplet size and, in some cases, an increase in the rate of drop production. The presence of elasticity during the extensional flow imposed by the necking event allowed for the extended maintenance of the filament, as observed previously for dilute solutions of linear polymers during drop break-up.

• Korea-Australia Rheology Journal
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• 제21권4호
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• pp.213-223
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• 2009

Taylor-Couette flow (i.e., flow between concentric, rotating cylinders) has long served as a paradigm for studies of hydrodynamic stability. For Newtonian fluids, the rich cascade of transitions from laminar, Couette flow to turbulent flow occurs through a set of well-characterized flow states (Taylor Vortex Flow, wavy Taylor vortices, modulated wavy vortices, etc.) that depend on the Reynolds numbers of both the inner and outer cylinders ($Re_i$ and $Re_o$). While extensive work has been done on (a) the effects of weak viscoelasticity on the first few transitions for $Re_o=0$ and (b) the effects of strong viscoelasticity in the limit of vanishing inertia ($Re_i$ and $Re_o$ both vanishing), the viscoelastic Taylor-Couette problem presents an enormous parameter space, much of which remains completely unexplored. Here we describe our recent experimental efforts to examine the effects of drag reducing polymers on the complete range of flow states observed in the Taylor-Couette problem. Of particular importance in the present work is 1) the rheological characterization of the test solutions via both shear and extensional (CaBER) rheometry, 2) the wide range of parameters examined, including $Re_i$, $Re_o$ and Elasticity number E1, and 3) the use of a consistent, conservative protocol for accessing flow states. We hope that by examining the stability changes for each flow state, we may gain insights into the importance of particular coherent structures in drag reduction, identify simple ways of screening new drag reducing additives, and improve our understanding of the mechanism of drag reduction.